Dynamical behavior and image encryption application of a memristor-based circuit system

Memristive system and encryption technology are two hot topics in the study of nonlinear dynamics. In this paper, we introduce a memristor-based circuit system and conventionally explore its dynamical behavior by analyzing phase portraits, time series, Lyapunov exponents and bifurcation diagrams. It...

Full description

Saved in:
Bibliographic Details
Published inInternational journal of electronics and communications Vol. 110; p. 152861
Main Authors Li, Chun-Lai, Li, Zhao-Yu, Feng, Wei, Tong, Yao-Nan, Du, Jian-Rong, Wei, Du-Qu
Format Journal Article
LanguageEnglish
Published Elsevier GmbH 01.10.2019
Subjects
Online AccessGet full text
ISSN1434-8411
1618-0399
DOI10.1016/j.aeue.2019.152861

Cover

Loading…
Abstract Memristive system and encryption technology are two hot topics in the study of nonlinear dynamics. In this paper, we introduce a memristor-based circuit system and conventionally explore its dynamical behavior by analyzing phase portraits, time series, Lyapunov exponents and bifurcation diagrams. It is found that this system exhibits abundant dynamics such as multi-stability, transient dynamics and antimonotonicity. As it is difficult to reproduce the accurate dynamics because of the extremely sensitive dependence on initial conditions and system parameter, and this system can be recommendable for secure encryption application. Consequently, by virtue of the excellent characteristics of the memristive system, we design a chaotic image encryption algorithm based on dynamic DNA operation and dynamic diffusion (CIEA-4D). The pixel updating, permutation, DNA operation and diffusion of the encryption algorithm are all closely related to the plain image, which strongly enhances the security since a tiny change in plain image will influence the whole encryption process. What’s more, the algorithm has a high operational efficiency for the parallel computing of DNA operation, the pre-acquired chaotic sequence and hash values of plaintext images.
AbstractList Memristive system and encryption technology are two hot topics in the study of nonlinear dynamics. In this paper, we introduce a memristor-based circuit system and conventionally explore its dynamical behavior by analyzing phase portraits, time series, Lyapunov exponents and bifurcation diagrams. It is found that this system exhibits abundant dynamics such as multi-stability, transient dynamics and antimonotonicity. As it is difficult to reproduce the accurate dynamics because of the extremely sensitive dependence on initial conditions and system parameter, and this system can be recommendable for secure encryption application. Consequently, by virtue of the excellent characteristics of the memristive system, we design a chaotic image encryption algorithm based on dynamic DNA operation and dynamic diffusion (CIEA-4D). The pixel updating, permutation, DNA operation and diffusion of the encryption algorithm are all closely related to the plain image, which strongly enhances the security since a tiny change in plain image will influence the whole encryption process. What’s more, the algorithm has a high operational efficiency for the parallel computing of DNA operation, the pre-acquired chaotic sequence and hash values of plaintext images.
ArticleNumber 152861
Author Du, Jian-Rong
Wei, Du-Qu
Li, Zhao-Yu
Tong, Yao-Nan
Feng, Wei
Li, Chun-Lai
Author_xml – sequence: 1
  givenname: Chun-Lai
  surname: Li
  fullname: Li, Chun-Lai
  email: lichunlai33@126.com
  organization: College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China
– sequence: 2
  givenname: Zhao-Yu
  surname: Li
  fullname: Li, Zhao-Yu
  email: lizhaoyu@hnist.edu.cn
  organization: College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China
– sequence: 3
  givenname: Wei
  surname: Feng
  fullname: Feng, Wei
  organization: College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China
– sequence: 4
  givenname: Yao-Nan
  surname: Tong
  fullname: Tong, Yao-Nan
  organization: College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China
– sequence: 5
  givenname: Jian-Rong
  surname: Du
  fullname: Du, Jian-Rong
  email: jianrongdu@hnist.edu.cn
  organization: College of Physics and Electronics, Hunan Institute of Science and Technology, Yueyang 414006, China
– sequence: 6
  givenname: Du-Qu
  surname: Wei
  fullname: Wei, Du-Qu
  organization: College of Electronic Engineering, Guangxi Normal University, Guilin 541004, China
BookMark eNp9kE1LAzEQhoNUsK3-AU_5A7sm2d00C16kfkLBi-IxTJNZTdmPkqSF_femrScPPc07MM8w88zIpB96JOSWs5wzLu82OeAOc8F4nfNKKMkvyJRLrjJW1PUk5bIoM1VyfkVmIWwYE2wh5JR8PY49dM5AS9f4A3s3eAq9pa6Db6TYGz9uoxt6Ctttm8aOeWgo0A4770IcfLaGgJYa583ORRrGELG7JpcNtAFv_uqcfD4_fSxfs9X7y9vyYZWZgrGYScGlXRdSWEBZioZXChphC1vXUpQsVVTGSAW2qbBmwJrUVao2giVsYYs5Eae9xg8heGz01qfb_ag50wc1eqMPavRBjT6pSZD6BxkXj69FD649j96fUExP7R16HYxLmtA6jyZqO7hz-C_nAoMW
CitedBy_id crossref_primary_10_1109_ACCESS_2020_3004160
crossref_primary_10_1142_S0218126622501201
crossref_primary_10_1140_epjp_s13360_020_00569_4
crossref_primary_10_1140_epjs_s11734_022_00643_1
crossref_primary_10_1140_epjs_s11734_022_00556_z
crossref_primary_10_1088_1674_1056_acef08
crossref_primary_10_1140_epjp_s13360_021_02278_y
crossref_primary_10_1016_j_chaos_2024_115517
crossref_primary_10_3390_en16052494
crossref_primary_10_1140_epjs_s11734_021_00181_2
crossref_primary_10_1088_1402_4896_adb526
crossref_primary_10_1109_TCYB_2021_3134245
crossref_primary_10_1155_2020_8175639
crossref_primary_10_1002_adfm_202412375
crossref_primary_10_1007_s11042_021_10631_7
crossref_primary_10_1088_1402_4896_ab6e4d
crossref_primary_10_1142_S0217979224504320
crossref_primary_10_3390_axioms12121125
crossref_primary_10_1088_1402_4896_ad4c28
crossref_primary_10_1140_epjs_s11734_022_00645_z
crossref_primary_10_3390_mi14112090
crossref_primary_10_1007_s11071_021_06814_4
crossref_primary_10_1007_s40815_024_01712_4
crossref_primary_10_1088_1402_4896_ad00e4
crossref_primary_10_1088_1674_1056_ac272d
crossref_primary_10_1007_s11071_021_06206_8
crossref_primary_10_1088_1674_1056_abd7dc
crossref_primary_10_1140_epjs_s11734_022_00561_2
crossref_primary_10_1140_epjs_s11734_022_00563_0
crossref_primary_10_1007_s11071_023_08836_6
crossref_primary_10_1007_s11071_021_06472_6
crossref_primary_10_1016_j_aeue_2019_152923
crossref_primary_10_3389_fphy_2022_963795
crossref_primary_10_1016_j_chaos_2024_114923
crossref_primary_10_1140_epjs_s11734_022_00638_y
crossref_primary_10_23919_JSEE_2022_000053
crossref_primary_10_1140_epjs_s11734_021_00182_1
crossref_primary_10_1088_1674_1056_ac3cb2
crossref_primary_10_1088_1674_1056_ad84c5
crossref_primary_10_1155_2022_7277992
crossref_primary_10_1007_s00371_023_02812_2
crossref_primary_10_1140_epjp_s13360_024_05364_z
crossref_primary_10_1007_s11071_022_07268_y
crossref_primary_10_1142_S0218126624503122
crossref_primary_10_1140_epjs_s11734_022_00567_w
crossref_primary_10_1155_2023_8994299
crossref_primary_10_1088_1674_1056_abbbe3
crossref_primary_10_1007_s11071_022_07391_w
crossref_primary_10_1016_j_aeue_2023_155105
crossref_primary_10_1109_ACCESS_2020_3005925
crossref_primary_10_3389_fphy_2022_847385
crossref_primary_10_1088_1674_1056_ab9ded
crossref_primary_10_1088_1402_4896_acdba0
crossref_primary_10_1109_TIE_2023_3292857
Cites_doi 10.1016/j.ins.2018.11.010
10.1080/0161-118991863745
10.1103/PhysRevA.37.4286
10.1016/j.sigpro.2015.06.007
10.1109/TIFS.2013.2259819
10.1016/j.chaos.2018.02.031
10.1109/ACCESS.2018.2883690
10.1007/s11071-016-3022-8
10.1016/j.ins.2015.10.027
10.1016/j.cnsns.2012.08.010
10.1007/s11432-011-4410-9
10.1007/s11071-015-2481-7
10.1016/j.sigpro.2015.06.008
10.1016/j.jco.2015.03.001
10.1007/s00034-017-0611-9
10.1142/S0218127417501462
10.1016/j.aeue.2018.08.017
10.1103/PhysRevA.36.1428
10.3390/e20080556
10.1007/s11071-017-3542-x
10.1016/j.optlaseng.2017.04.009
10.1142/S0129183117500693
10.1016/j.aeue.2018.06.043
10.1142/S0218127493000878
10.1007/s00034-012-9521-z
10.1016/j.cnsns.2014.03.016
10.1038/nature06932
10.1142/S0218127417501036
10.1016/j.cnsns.2009.11.010
10.1016/j.aeue.2018.03.035
10.1142/S021812741650139X
10.1109/TCT.1971.1083337
10.1109/ACCESS.2019.2893760
10.1016/j.chaos.2015.10.005
10.1007/s11071-014-1286-4
10.1016/j.asoc.2014.05.025
10.1109/MMUL.2018.2873472
10.1007/s11071-017-3960-9
10.1142/S0218127418500505
10.1007/s00034-018-0750-7
10.1140/epjst/e2016-02625-8
10.1109/ACCESS.2018.2850156
10.1142/S0218127418500475
10.1049/el.2016.0563
10.1063/1.4983469
10.1109/ACCESS.2017.2788408
10.1016/j.chaos.2016.03.004
10.1016/j.cnsns.2017.10.001
10.1016/j.ins.2016.02.041
10.1155/2018/5620956
10.1140/epjb/e2017-70470-8
10.1016/j.chaos.2012.08.006
10.1007/s11042-015-3064-9
10.1007/s11071-017-3436-y
10.1063/1.4958296
10.1142/S021812749800098X
ContentType Journal Article
Copyright 2019 Elsevier GmbH
Copyright_xml – notice: 2019 Elsevier GmbH
DBID AAYXX
CITATION
DOI 10.1016/j.aeue.2019.152861
DatabaseName CrossRef
DatabaseTitle CrossRef
DatabaseTitleList
DeliveryMethod fulltext_linktorsrc
Discipline Engineering
EISSN 1618-0399
ExternalDocumentID 10_1016_j_aeue_2019_152861
S1434841119308076
GroupedDBID --K
--M
.~1
0R~
1B1
1~.
1~5
23M
3V.
4.4
457
4G.
5GY
5VS
7-5
71M
8FE
8FG
8FW
8P~
8R4
8R5
AABNK
AACTN
AAEDT
AAEDW
AAIAV
AAIKJ
AAKOC
AALRI
AAOAW
AAQFI
AAQXK
AAXUO
AAYFN
ABAOU
ABBOA
ABFNM
ABLJU
ABMAC
ABUWG
ABXDB
ABYKQ
ACAZW
ACDAQ
ACGFS
ACNNM
ACRLP
ACZNC
ADBBV
ADEZE
ADGUI
ADJOM
ADMUD
ADTZH
AEBSH
AECPX
AEKER
AENEX
AFKRA
AFKWA
AFTJW
AGHFR
AGUBO
AGYEJ
AHJVU
AHZHX
AIALX
AIEXJ
AIGVJ
AIKHN
AITUG
AJBFU
AJOXV
ALMA_UNASSIGNED_HOLDINGS
AMFUW
AMRAJ
AOUOD
ARAPS
ARUGR
ASPBG
AVWKF
AXJTR
AZFZN
BENPR
BGLVJ
BJAXD
BKOJK
BLXMC
BPHCQ
CAG
CCPQU
COF
CS3
DWQXO
EBS
EFJIC
EFLBG
EJD
EO8
EO9
EP2
EP3
F0J
FDB
FEDTE
FGOYB
FIRID
FNPLU
FYGXN
G-Q
GBLVA
GBOLZ
HCIFZ
HVGLF
HZ~
IHE
J1W
JJJVA
KOM
M1Q
M41
MHUIS
MO0
N9A
O-L
O9-
OAUVE
OZT
P-8
P-9
P62
PC.
PQQKQ
PROAC
Q2X
Q38
R2-
RIG
ROL
RPZ
S0X
SDF
SDG
SES
SEW
SPC
SST
SSV
SSW
SSZ
T5K
~G-
AATTM
AAXKI
AAYWO
AAYXX
ABWVN
ACRPL
ACVFH
ADCNI
ADNMO
AEIPS
AEUPX
AFJKZ
AFPUW
AFXIZ
AGCQF
AGQPQ
AGRNS
AIGII
AIIUN
AKBMS
AKRWK
AKYEP
ANKPU
BNPGV
CITATION
PHGZM
PHGZT
SSH
ID FETCH-LOGICAL-c300t-6216db362dae642f158af2d3d9962403d9e8cc68adf5e90a0fcc6589c20db37d3
IEDL.DBID AIKHN
ISSN 1434-8411
IngestDate Tue Jul 01 01:32:12 EDT 2025
Thu Apr 24 22:56:23 EDT 2025
Fri Feb 23 02:34:30 EST 2024
IsPeerReviewed true
IsScholarly true
Keywords Memristive system
Image encryption
Dynamical behavior
DNA operation
Language English
LinkModel DirectLink
MergedId FETCHMERGED-LOGICAL-c300t-6216db362dae642f158af2d3d9962403d9e8cc68adf5e90a0fcc6589c20db37d3
ParticipantIDs crossref_primary_10_1016_j_aeue_2019_152861
crossref_citationtrail_10_1016_j_aeue_2019_152861
elsevier_sciencedirect_doi_10_1016_j_aeue_2019_152861
ProviderPackageCode CITATION
AAYXX
PublicationCentury 2000
PublicationDate 2019-10-01
PublicationDateYYYYMMDD 2019-10-01
PublicationDate_xml – month: 10
  year: 2019
  text: 2019-10-01
  day: 01
PublicationDecade 2010
PublicationTitle International journal of electronics and communications
PublicationYear 2019
Publisher Elsevier GmbH
Publisher_xml – name: Elsevier GmbH
References Ma, Wu, Ren, Tang (b0135) 2017; 298
Parlitz, Lauterborn (b0310) 1987; 36
Rajagopal, Arun, Karthikeyan, Duraisamy, Srinivasan (b0095) 2018; 95
Rajagopal, Karthikeyan, Srinivasan (b0100) 2018; 91
Zhang, Wong, Yu, Zhu (b0245) 2013; 18
Rajagopal, Akgul, Jafari, Aricioglu (b0185) 2017; 1–18
Hung-I, Junghsi (b0255) 2015; 117
Liu, Lin, Miao, Liu (b0140) 2017; 27
Saberi Nik, Effati, Saberi-Nadjafi (b0195) 2015; 31
Li, Feng, Li, Kurths, Chen (b0230) 2019
Zhao, Song (b0145) 2019
He, Li, Sun, Jafari (b0020) 2018; 20
Fridrich (b0240) 1998; 8
Bao, Wang, Bao, Chen, Jin, Wang (b0105) 2018; 57
Feng, He, Li, Su, Chen (b0055) 2018; 2018
Li, Lin, Lü, Hao (b0220) 2018; 25
Pham, Buscarino, Frasca (b0010) 2014
Chua (b0005) 1971; 18
Kengne, Tchitnga, Mezatio, Fomethe, Litak (b0200) 2017; 90
Ma, Wu, Jin, Zhou, Hayat (b0210) 2017; 27
Teng, Iu, Wang, Wang (b0025) 2014; 77
Zhao, Zhang, Xu, Guo (b0030) 2015; 81
Wu, Wang, Kurths, Kan (b0225) 2016; 41
Manimehan, Philominathan (b0315) 2012; 45
Strukov, Snider, Stewart, Williams (b0045) 2008; 453
Fonzin, Srinivasan, Kengne, Pelap (b0070) 2018; 90
Zahmoul, Ejbali, Zaied (b0285) 2017; 96
Rajagopal, Jahanshahi, Varan (b0050) 2018; 94
Zhou, Wang, Zhang, Yao (b0060) 2018; 28
Bao, Wu, Bao, Wu, Zhang, Chen (b0065) 2018; 109
Luo, Cao, Qiu, Lin, Harkin, Liu (b0165) 2016; 83
Sabarathinam, Volos, Thamilmaran (b0110) 2017; 87
Pham, Volos, Kingni, Kapitaniak, Jafari (b0205) 2018; 37
Li, Thio, Iu, Lu (b0075) 2018; 6
Yin, Wang (b0300) 2018; 28
Matthews (b0235) 1989; 4
Feng, He, Li, Li (b0280) 2019; 7
Kocarev, Halle, Eckert (b0320) 1993; 3
Chai, Gan, Lu, Chen, Han (b0190) 2017; 28
Ogawa (b0305) 1988; 37
Zhao, Jiang, Feng, Wu (b0080) 2016; 87
Zhang, Hu, Liu, Wong (b0265) 2014; 19
Pham, Volos, Jafari, Vaidyanathan, Kapitaniak, Wang (b0215) 2016; 26
Zhu, Sun (b0290) 2018; 6
Pham, Vaidyanathan, Volos, Jafari, Kuznetsov, Hoang (b0015) 2016; 225
Zhao, Tse, Feng, Guo (b0120) 2013; 32
Peng, Zhu, Long (b0155) 2013; 8
Li, Lin, Feng, Lü, Hao (b0160) 2018; 6
Wang, Vaidyanathan, Volos, Pham, Kapitaniak (b0040) 2017; 89
Patidar, Pareek, Purohit, Sud (b0250) 2010; 15
Ye, Zhou (b0270) 2014; 22
Rajagopal, Jafari, Karthikeyan, Srinivasan, Ayele (b0125) 2018; 37
Hu, Duan, Wang, Liao (b0115) 2012; 55
Wang, Yu, Luo, Kurths (b0130) 2018; 6
Xu, Tian (b0170) 2019; 478
Mollaeefar, Sharif, Nazari (b0260) 2017; 76
Diaconu (b0295) 2016; 355
Jin, Wang, Iu, Fernando (b0090) 2018; 65
Hua, Zhou (b0175) 2018; 65
Yuan, Wang, Wang (b0085) 2016; 26
Zhu, Zhang, Yu, Zhao, Zhu (b0150) 2017; 89
He, Yu, Lü (b0180) 2017; 27
Bao, Xu, Bao, Chen (b0035) 2016; 52
Zhang, Yu, Zhao, Zhu (b0275) 2016; 118
Li (10.1016/j.aeue.2019.152861_b0160) 2018; 6
Teng (10.1016/j.aeue.2019.152861_b0025) 2014; 77
Parlitz (10.1016/j.aeue.2019.152861_b0310) 1987; 36
Zhang (10.1016/j.aeue.2019.152861_b0265) 2014; 19
Diaconu (10.1016/j.aeue.2019.152861_b0295) 2016; 355
Manimehan (10.1016/j.aeue.2019.152861_b0315) 2012; 45
Ogawa (10.1016/j.aeue.2019.152861_b0305) 1988; 37
Mollaeefar (10.1016/j.aeue.2019.152861_b0260) 2017; 76
Chai (10.1016/j.aeue.2019.152861_b0190) 2017; 28
Zhao (10.1016/j.aeue.2019.152861_b0120) 2013; 32
Bao (10.1016/j.aeue.2019.152861_b0035) 2016; 52
Wu (10.1016/j.aeue.2019.152861_b0225) 2016; 41
Chua (10.1016/j.aeue.2019.152861_b0005) 1971; 18
Zhu (10.1016/j.aeue.2019.152861_b0290) 2018; 6
Hu (10.1016/j.aeue.2019.152861_b0115) 2012; 55
Rajagopal (10.1016/j.aeue.2019.152861_b0095) 2018; 95
Saberi Nik (10.1016/j.aeue.2019.152861_b0195) 2015; 31
Hung-I (10.1016/j.aeue.2019.152861_b0255) 2015; 117
Feng (10.1016/j.aeue.2019.152861_b0280) 2019; 7
Zhao (10.1016/j.aeue.2019.152861_b0080) 2016; 87
Yin (10.1016/j.aeue.2019.152861_b0300) 2018; 28
Rajagopal (10.1016/j.aeue.2019.152861_b0185) 2017; 1–18
Bao (10.1016/j.aeue.2019.152861_b0105) 2018; 57
Ye (10.1016/j.aeue.2019.152861_b0270) 2014; 22
Rajagopal (10.1016/j.aeue.2019.152861_b0050) 2018; 94
Zhu (10.1016/j.aeue.2019.152861_b0150) 2017; 89
Hua (10.1016/j.aeue.2019.152861_b0175) 2018; 65
Jin (10.1016/j.aeue.2019.152861_b0090) 2018; 65
Sabarathinam (10.1016/j.aeue.2019.152861_b0110) 2017; 87
Peng (10.1016/j.aeue.2019.152861_b0155) 2013; 8
Zhang (10.1016/j.aeue.2019.152861_b0245) 2013; 18
Kengne (10.1016/j.aeue.2019.152861_b0200) 2017; 90
Liu (10.1016/j.aeue.2019.152861_b0140) 2017; 27
Ma (10.1016/j.aeue.2019.152861_b0135) 2017; 298
Strukov (10.1016/j.aeue.2019.152861_b0045) 2008; 453
Zhao (10.1016/j.aeue.2019.152861_b0030) 2015; 81
Li (10.1016/j.aeue.2019.152861_b0220) 2018; 25
Li (10.1016/j.aeue.2019.152861_b0230) 2019
Xu (10.1016/j.aeue.2019.152861_b0170) 2019; 478
He (10.1016/j.aeue.2019.152861_b0180) 2017; 27
Fridrich (10.1016/j.aeue.2019.152861_b0240) 1998; 8
Ma (10.1016/j.aeue.2019.152861_b0210) 2017; 27
Matthews (10.1016/j.aeue.2019.152861_b0235) 1989; 4
Rajagopal (10.1016/j.aeue.2019.152861_b0100) 2018; 91
Zahmoul (10.1016/j.aeue.2019.152861_b0285) 2017; 96
Bao (10.1016/j.aeue.2019.152861_b0065) 2018; 109
Pham (10.1016/j.aeue.2019.152861_b0205) 2018; 37
Fonzin (10.1016/j.aeue.2019.152861_b0070) 2018; 90
Pham (10.1016/j.aeue.2019.152861_b0215) 2016; 26
Patidar (10.1016/j.aeue.2019.152861_b0250) 2010; 15
Feng (10.1016/j.aeue.2019.152861_b0055) 2018; 2018
Li (10.1016/j.aeue.2019.152861_b0075) 2018; 6
Zhou (10.1016/j.aeue.2019.152861_b0060) 2018; 28
Zhao (10.1016/j.aeue.2019.152861_b0145) 2019
He (10.1016/j.aeue.2019.152861_b0020) 2018; 20
Wang (10.1016/j.aeue.2019.152861_b0130) 2018; 6
Wang (10.1016/j.aeue.2019.152861_b0040) 2017; 89
Pham (10.1016/j.aeue.2019.152861_b0015) 2016; 225
Yuan (10.1016/j.aeue.2019.152861_b0085) 2016; 26
Kocarev (10.1016/j.aeue.2019.152861_b0320) 1993; 3
Pham (10.1016/j.aeue.2019.152861_b0010) 2014
Luo (10.1016/j.aeue.2019.152861_b0165) 2016; 83
Zhang (10.1016/j.aeue.2019.152861_b0275) 2016; 118
Rajagopal (10.1016/j.aeue.2019.152861_b0125) 2018; 37
References_xml – volume: 15
  start-page: 2755
  year: 2010
  end-page: 2765
  ident: b0250
  article-title: Modified substitution–diffusion image cipher using chaotic standard and logistic maps
  publication-title: Commun Nonlinear Sci Numer Simul
– volume: 225
  start-page: 127
  year: 2016
  end-page: 136
  ident: b0015
  article-title: A novel memristive time-delay chaotic system without equilibrium points
  publication-title: Eur Phys J-Spec Top
– volume: 52
  start-page: 1008
  year: 2016
  end-page: 1010
  ident: b0035
  article-title: Extreme multistability in a memristive circuit
  publication-title: Electron Lett
– volume: 28
  start-page: 1850047
  year: 2018
  ident: b0300
  article-title: A new chaotic image encryption scheme using breadth-first search and dynamic diffusion
  publication-title: Int J Bifurcat Chaos
– volume: 1–18
  year: 2017
  ident: b0185
  article-title: A chaotic memcapacitor oscillator with two unstable equilibriums and its fractional form with engineering applications
  publication-title: Nonlinear Dyn
– year: 2014
  ident: b0010
  article-title: Autowaves in a lattice of memristor-based cells
  publication-title: Memristor networks
– volume: 118
  start-page: 36
  year: 2016
  end-page: 50
  ident: b0275
  article-title: Image encryption based on three-dimensional bit matrix permutation
  publication-title: Signal Process
– volume: 18
  start-page: 507
  year: 1971
  end-page: 519
  ident: b0005
  article-title: Memristor-the missing circuit element
  publication-title: IEEE Trans Circuit Theory
– volume: 95
  start-page: 249
  year: 2018
  end-page: 255
  ident: b0095
  article-title: A hyperchaotic memristor system with exponential and discontinuous memductance function
  publication-title: AEU-Int J Electron Communommun
– volume: 117
  start-page: 281
  year: 2015
  end-page: 309
  ident: b0255
  article-title: Color image encryption using chaotic nonlinear adaptive filter
  publication-title: Signal Process
– volume: 27
  start-page: 1750146
  year: 2017
  ident: b0180
  article-title: Constructing higher-dimensional nondegenerate hyperchaotic systems with multiple controllers
  publication-title: Int J Bifurcat Chaos
– volume: 6
  start-page: 67581
  year: 2018
  end-page: 67593
  ident: b0290
  article-title: Cryptanalyzing and improving a novel color image encryption algorithm using RT-enhanced chaotic tent maps
  publication-title: IEEE Access
– volume: 2018
  year: 2018
  ident: b0055
  article-title: Dynamical behavior of a 3D Jerk system with a generalized memristive device
  publication-title: Complexity
– volume: 57
  start-page: 264
  year: 2018
  end-page: 275
  ident: b0105
  article-title: Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria
  publication-title: Commun Nonlinear Sci Numer Simul
– volume: 28
  start-page: 1850050
  year: 2018
  ident: b0060
  article-title: Various attractors, coexisting attractors and antimonotonicity in a simple fourth-order memristive twin-T oscillator
  publication-title: Int J Bifurcat Chaos
– volume: 109
  start-page: 146
  year: 2018
  end-page: 153
  ident: b0065
  article-title: Symmetric periodic bursting behavior and bifurcation mechanism in a third-order memristive diode bridge-based oscillator
  publication-title: Chaos Soliton Fract
– volume: 4
  start-page: 29
  year: 1989
  end-page: 42
  ident: b0235
  article-title: On the derivation of a chaotic encryption algorithm
  publication-title: Cryptologia
– volume: 90
  start-page: 110
  year: 2018
  end-page: 122
  ident: b0070
  article-title: Coexisting bifurcations in a memristive hyperchaotic oscillator
  publication-title: AEU-Int J Electron Communommun
– volume: 6
  start-page: 36002
  year: 2018
  end-page: 36018
  ident: b0130
  article-title: Synchronization control of memristive multidirectional associative memory neural networks and applications in network security communication
  publication-title: IEEE Access
– volume: 37
  start-page: 3702
  year: 2018
  end-page: 3724
  ident: b0125
  article-title: Hyperchaotic memcapacitor oscillator with infinite equilibria and coexisting attractors
  publication-title: Circ Syst Signal Pr
– volume: 298
  start-page: 65
  year: 2017
  end-page: 76
  ident: b0135
  article-title: A class of initials-dependent dynamical systems
  publication-title: Appl Math Comput
– volume: 7
  start-page: 12584
  year: 2019
  end-page: 12597
  ident: b0280
  article-title: Cryptanalysis and improvement of the image encryption scheme based on 2D logistic-adjusted-sine map
  publication-title: IEEE Access
– volume: 41
  start-page: 137
  year: 2016
  end-page: 153
  ident: b0225
  article-title: A novel lossless color image encryption scheme using 2D DWT and 6D hyperchaotic system
  publication-title: Inform Sci
– volume: 26
  start-page: 073107
  year: 2016
  ident: b0085
  article-title: Extreme multistability in a memristor-based multi-scroll hyper-chaotic system
  publication-title: Chaos
– volume: 28
  start-page: 1750069
  year: 2017
  ident: b0190
  article-title: A novel image encryption algorithm based on the chaotic system and DNA computing
  publication-title: Int J Mod Phys C
– volume: 87
  start-page: 12
  year: 2016
  end-page: 16
  ident: b0080
  article-title: Modeling of memristor-based chaotic systems using nonlinear Wiener adaptive filters based on backslash operator
  publication-title: Chaos Soliton Fract
– volume: 31
  start-page: 715
  year: 2015
  end-page: 730
  ident: b0195
  article-title: Ultimate bound sets and exponential finite-time synchronization for a complex chaotic system
  publication-title: J Complexity
– volume: 26
  start-page: 1650139
  year: 2016
  ident: b0215
  article-title: A chaotic system with different families of hidden attractors
  publication-title: Int J Bifurcat Chaos
– volume: 27
  start-page: 1750103
  year: 2017
  ident: b0140
  article-title: A double perturbation method for reducing dynamical degradation of the digital baker map
  publication-title: Int J Bifurcat Chaos
– volume: 19
  start-page: 3653
  year: 2014
  end-page: 3659
  ident: b0265
  article-title: A chaotic image encryption scheme owning temp-value feedback
  publication-title: Commun Nonlinear Sci Numer Simul
– volume: 6
  start-page: 75834
  year: 2018
  end-page: 75842
  ident: b0160
  article-title: Cryptanalysis of a chaotic image encryption algorithm based on information entropy
  publication-title: IEEE Access
– volume: 22
  start-page: 351
  year: 2014
  end-page: 357
  ident: b0270
  article-title: A block chaotic image encryption scheme based on self-adaptive modelling
  publication-title: Appl Soft Comput
– volume: 81
  start-page: 315
  year: 2015
  end-page: 319
  ident: b0030
  article-title: Identification of chaotic memristor systems based on piecewise adaptive Legendre filters
  publication-title: Chaos Soliton Fract
– volume: 18
  start-page: 584
  year: 2013
  end-page: 600
  ident: b0245
  article-title: A symmetric color image encryption algorithm using the intrinsic features of bit distributions
  publication-title: Commun Nonlinear Sci Numer Simul
– volume: 37
  start-page: 4286
  year: 1988
  end-page: 4302
  ident: b0305
  article-title: Quasiperiodic in stability and chaos in the bad-cavity laser with modulated inversion: numerical analysis of a Toda oscillator system
  publication-title: Phys Rev A
– volume: 77
  start-page: 231
  year: 2014
  end-page: 241
  ident: b0025
  article-title: Chaotic behavior in fractional-order memristor-based simplest chaotic circuit using fourth degree polynomial
  publication-title: Nonlinear Dyn
– volume: 27
  start-page: 053108
  year: 2017
  ident: b0210
  article-title: Calculation of Hamilton energy and control of dynamical systems with different types of attractors
  publication-title: Chaos
– volume: 37
  start-page: 1028
  year: 2018
  end-page: 1043
  ident: b0205
  article-title: Bistable hidden attractors in a novel chaotic system with hyperbolic sine equilibrium
  publication-title: Circ Syst Signal Pr
– volume: 87
  start-page: 37
  year: 2017
  end-page: 49
  ident: b0110
  article-title: Implementation and study of the nonlinear dynamics of a memristor-based Duffing oscillator
  publication-title: Nonlinear Dyn
– volume: 8
  start-page: 1259
  year: 1998
  end-page: 1284
  ident: b0240
  article-title: Symmetric ciphers based on two-dimensional chaotic maps
  publication-title: Int J Bifurcat Chaos
– volume: 453
  start-page: 80
  year: 2008
  end-page: 83
  ident: b0045
  article-title: The missing memristor found
  publication-title: Nature
– volume: 65
  start-page: 246
  year: 2018
  end-page: 250
  ident: b0090
  article-title: A locally active memristor and its application in a chaotic circuit
  publication-title: IEEE Trans Circ Syst-II
– volume: 89
  start-page: 1673
  year: 2017
  end-page: 1687
  ident: b0040
  article-title: Dynamics, circuit realization, control and synchronization of a hyperchaotic hyperjerk system with coexisting attractors
  publication-title: Nonlinear Dyn
– volume: 83
  start-page: 2293
  year: 2016
  end-page: 2310
  ident: b0165
  article-title: A chaotic map-control-based and the plain image-related cryptosystem
  publication-title: Nonlinear Dyn
– volume: 32
  start-page: 1013
  year: 2013
  end-page: 1023
  ident: b0120
  article-title: Application of memristor-based controller for loop filter design in charge-pump phase-locked loops
  publication-title: Circ Syst Signal Pr
– volume: 55
  start-page: 461
  year: 2012
  end-page: 472
  ident: b0115
  article-title: Memristive crossbar array with applications in image processing
  publication-title: Sci China Inform Sci
– volume: 6
  start-page: 12945
  year: 2018
  end-page: 12950
  ident: b0075
  article-title: A memristive chaotic oscillator with increasing amplitude and frequency
  publication-title: IEEE Access
– volume: 91
  start-page: 1491
  year: 2018
  end-page: 1512
  ident: b0100
  article-title: Dynamical analysis and FPGA implementation of a chaotic oscillator with fractional-order memristor components
  publication-title: Nonlinear Dyn
– volume: 8
  start-page: 1688
  year: 2013
  end-page: 1699
  ident: b0155
  article-title: An ROI privacy protection scheme for H. 264 video based on FMO and chaos
  publication-title: IEEE Trans Inf Foren Sec.
– volume: 90
  start-page: 88
  year: 2017
  ident: b0200
  article-title: Finite-time synchronization of fractional-order simplest two-component chaotic oscillators
  publication-title: Eur Phys J B
– volume: 3
  start-page: 1051
  year: 1993
  ident: b0320
  article-title: Experimental observation of antimonotonicity in Chua's circuit
  publication-title: Int J Bifurcat Chaos
– year: 2019
  ident: b0145
  article-title: 2D logistic-modulated-sine-coupling-logistic chaotic map for image encryption
  publication-title: IEEE Access
– volume: 65
  start-page: 235
  year: 2018
  end-page: 246
  ident: b0175
  article-title: One-dimensional nonlinear model for producing chaos
  publication-title: IIEEE Trans Circ Syst-I
– volume: 20
  start-page: 556
  year: 2018
  ident: b0020
  article-title: Multivariate multiscale complexity analysis of self-reproducing chaotic systems
  publication-title: Entropy
– volume: 36
  start-page: 1428
  year: 1987
  ident: b0310
  article-title: Period-doubling cascades and devil’s staircases of the driven van der Pol oscillator
  publication-title: Phys Rev A
– volume: 25
  start-page: 46
  year: 2018
  end-page: 56
  ident: b0220
  article-title: Cryptanalyzing an image encryption algorithm based on autoblocking and electrocardiography
  publication-title: IEEE Multimedia
– volume: 89
  start-page: 61
  year: 2017
  end-page: 79
  ident: b0150
  article-title: An image encryption algorithm based on compound homogeneous hyper-chaotic system
  publication-title: Nonlinear Dyn
– volume: 355
  start-page: 314
  year: 2016
  end-page: 327
  ident: b0295
  article-title: Circular inter-intra pixels bit-level permutation and chaos-based image encryption
  publication-title: Inf Sci
– volume: 478
  start-page: 1
  year: 2019
  end-page: 14
  ident: b0170
  article-title: A novel image cipher based on 3D bit matrix and latin cubes
  publication-title: Inform Sci
– volume: 45
  start-page: 1501
  year: 2012
  end-page: 1509
  ident: b0315
  article-title: Composite dynamical behaviors in a simple series-parallel LC circuit
  publication-title: Chaos Soliton Fract
– year: 2019
  ident: b0230
  article-title: Dynamic analysis of chaotic maps as complex networks in the digital domain
  publication-title: IEEE Trans Circ Syst-I
– volume: 94
  start-page: 55
  year: 2018
  end-page: 68
  ident: b0050
  article-title: A hyperchaotic memristor oscillator with fuzzy based chaos control and LQR based chaos synchronization
  publication-title: AEU-Int J Electron Communommun
– volume: 96
  start-page: 39
  year: 2017
  end-page: 49
  ident: b0285
  article-title: Image encryption based on new Beta chaotic maps
  publication-title: Opt Lasers Eng
– volume: 76
  start-page: 607
  year: 2017
  end-page: 629
  ident: b0260
  article-title: A novel encryption scheme for colored image based on high level chaotic maps
  publication-title: Multimed Tools Appl
– volume: 478
  start-page: 1
  year: 2019
  ident: 10.1016/j.aeue.2019.152861_b0170
  article-title: A novel image cipher based on 3D bit matrix and latin cubes
  publication-title: Inform Sci
  doi: 10.1016/j.ins.2018.11.010
– volume: 4
  start-page: 29
  year: 1989
  ident: 10.1016/j.aeue.2019.152861_b0235
  article-title: On the derivation of a chaotic encryption algorithm
  publication-title: Cryptologia
  doi: 10.1080/0161-118991863745
– volume: 37
  start-page: 4286
  year: 1988
  ident: 10.1016/j.aeue.2019.152861_b0305
  article-title: Quasiperiodic in stability and chaos in the bad-cavity laser with modulated inversion: numerical analysis of a Toda oscillator system
  publication-title: Phys Rev A
  doi: 10.1103/PhysRevA.37.4286
– volume: 117
  start-page: 281
  year: 2015
  ident: 10.1016/j.aeue.2019.152861_b0255
  article-title: Color image encryption using chaotic nonlinear adaptive filter
  publication-title: Signal Process
  doi: 10.1016/j.sigpro.2015.06.007
– volume: 8
  start-page: 1688
  issue: 10
  year: 2013
  ident: 10.1016/j.aeue.2019.152861_b0155
  article-title: An ROI privacy protection scheme for H. 264 video based on FMO and chaos
  publication-title: IEEE Trans Inf Foren Sec.
  doi: 10.1109/TIFS.2013.2259819
– volume: 109
  start-page: 146
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0065
  article-title: Symmetric periodic bursting behavior and bifurcation mechanism in a third-order memristive diode bridge-based oscillator
  publication-title: Chaos Soliton Fract
  doi: 10.1016/j.chaos.2018.02.031
– volume: 6
  start-page: 75834
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0160
  article-title: Cryptanalysis of a chaotic image encryption algorithm based on information entropy
  publication-title: IEEE Access
  doi: 10.1109/ACCESS.2018.2883690
– volume: 87
  start-page: 37
  issue: 1
  year: 2017
  ident: 10.1016/j.aeue.2019.152861_b0110
  article-title: Implementation and study of the nonlinear dynamics of a memristor-based Duffing oscillator
  publication-title: Nonlinear Dyn
  doi: 10.1007/s11071-016-3022-8
– volume: 355
  start-page: 314
  year: 2016
  ident: 10.1016/j.aeue.2019.152861_b0295
  article-title: Circular inter-intra pixels bit-level permutation and chaos-based image encryption
  publication-title: Inf Sci
  doi: 10.1016/j.ins.2015.10.027
– volume: 18
  start-page: 584
  issue: 3
  year: 2013
  ident: 10.1016/j.aeue.2019.152861_b0245
  article-title: A symmetric color image encryption algorithm using the intrinsic features of bit distributions
  publication-title: Commun Nonlinear Sci Numer Simul
  doi: 10.1016/j.cnsns.2012.08.010
– volume: 55
  start-page: 461
  issue: 2
  year: 2012
  ident: 10.1016/j.aeue.2019.152861_b0115
  article-title: Memristive crossbar array with applications in image processing
  publication-title: Sci China Inform Sci
  doi: 10.1007/s11432-011-4410-9
– volume: 83
  start-page: 2293
  issue: 4
  year: 2016
  ident: 10.1016/j.aeue.2019.152861_b0165
  article-title: A chaotic map-control-based and the plain image-related cryptosystem
  publication-title: Nonlinear Dyn
  doi: 10.1007/s11071-015-2481-7
– volume: 118
  start-page: 36
  year: 2016
  ident: 10.1016/j.aeue.2019.152861_b0275
  article-title: Image encryption based on three-dimensional bit matrix permutation
  publication-title: Signal Process
  doi: 10.1016/j.sigpro.2015.06.008
– volume: 31
  start-page: 715
  year: 2015
  ident: 10.1016/j.aeue.2019.152861_b0195
  article-title: Ultimate bound sets and exponential finite-time synchronization for a complex chaotic system
  publication-title: J Complexity
  doi: 10.1016/j.jco.2015.03.001
– volume: 37
  start-page: 1028
  issue: 3
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0205
  article-title: Bistable hidden attractors in a novel chaotic system with hyperbolic sine equilibrium
  publication-title: Circ Syst Signal Pr
  doi: 10.1007/s00034-017-0611-9
– volume: 27
  start-page: 1750146
  issue: 09
  year: 2017
  ident: 10.1016/j.aeue.2019.152861_b0180
  article-title: Constructing higher-dimensional nondegenerate hyperchaotic systems with multiple controllers
  publication-title: Int J Bifurcat Chaos
  doi: 10.1142/S0218127417501462
– volume: 95
  start-page: 249
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0095
  article-title: A hyperchaotic memristor system with exponential and discontinuous memductance function
  publication-title: AEU-Int J Electron Communommun
  doi: 10.1016/j.aeue.2018.08.017
– volume: 36
  start-page: 1428
  year: 1987
  ident: 10.1016/j.aeue.2019.152861_b0310
  article-title: Period-doubling cascades and devil’s staircases of the driven van der Pol oscillator
  publication-title: Phys Rev A
  doi: 10.1103/PhysRevA.36.1428
– volume: 20
  start-page: 556
  issue: 8
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0020
  article-title: Multivariate multiscale complexity analysis of self-reproducing chaotic systems
  publication-title: Entropy
  doi: 10.3390/e20080556
– year: 2019
  ident: 10.1016/j.aeue.2019.152861_b0230
  article-title: Dynamic analysis of chaotic maps as complex networks in the digital domain
  publication-title: IEEE Trans Circ Syst-I
– volume: 89
  start-page: 1673
  issue: 3
  year: 2017
  ident: 10.1016/j.aeue.2019.152861_b0040
  article-title: Dynamics, circuit realization, control and synchronization of a hyperchaotic hyperjerk system with coexisting attractors
  publication-title: Nonlinear Dyn
  doi: 10.1007/s11071-017-3542-x
– volume: 96
  start-page: 39
  year: 2017
  ident: 10.1016/j.aeue.2019.152861_b0285
  article-title: Image encryption based on new Beta chaotic maps
  publication-title: Opt Lasers Eng
  doi: 10.1016/j.optlaseng.2017.04.009
– volume: 28
  start-page: 1750069
  issue: 05
  year: 2017
  ident: 10.1016/j.aeue.2019.152861_b0190
  article-title: A novel image encryption algorithm based on the chaotic system and DNA computing
  publication-title: Int J Mod Phys C
  doi: 10.1142/S0129183117500693
– volume: 6
  start-page: 67581
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0290
  article-title: Cryptanalyzing and improving a novel color image encryption algorithm using RT-enhanced chaotic tent maps
  publication-title: IEEE Access
– volume: 94
  start-page: 55
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0050
  article-title: A hyperchaotic memristor oscillator with fuzzy based chaos control and LQR based chaos synchronization
  publication-title: AEU-Int J Electron Communommun
  doi: 10.1016/j.aeue.2018.06.043
– volume: 3
  start-page: 1051
  year: 1993
  ident: 10.1016/j.aeue.2019.152861_b0320
  article-title: Experimental observation of antimonotonicity in Chua's circuit
  publication-title: Int J Bifurcat Chaos
  doi: 10.1142/S0218127493000878
– volume: 32
  start-page: 1013
  issue: 3
  year: 2013
  ident: 10.1016/j.aeue.2019.152861_b0120
  article-title: Application of memristor-based controller for loop filter design in charge-pump phase-locked loops
  publication-title: Circ Syst Signal Pr
  doi: 10.1007/s00034-012-9521-z
– volume: 19
  start-page: 3653
  issue: 10
  year: 2014
  ident: 10.1016/j.aeue.2019.152861_b0265
  article-title: A chaotic image encryption scheme owning temp-value feedback
  publication-title: Commun Nonlinear Sci Numer Simul
  doi: 10.1016/j.cnsns.2014.03.016
– volume: 453
  start-page: 80
  year: 2008
  ident: 10.1016/j.aeue.2019.152861_b0045
  article-title: The missing memristor found
  publication-title: Nature
  doi: 10.1038/nature06932
– volume: 27
  start-page: 1750103
  issue: 07
  year: 2017
  ident: 10.1016/j.aeue.2019.152861_b0140
  article-title: A double perturbation method for reducing dynamical degradation of the digital baker map
  publication-title: Int J Bifurcat Chaos
  doi: 10.1142/S0218127417501036
– volume: 1–18
  year: 2017
  ident: 10.1016/j.aeue.2019.152861_b0185
  article-title: A chaotic memcapacitor oscillator with two unstable equilibriums and its fractional form with engineering applications
  publication-title: Nonlinear Dyn
– volume: 298
  start-page: 65
  year: 2017
  ident: 10.1016/j.aeue.2019.152861_b0135
  article-title: A class of initials-dependent dynamical systems
  publication-title: Appl Math Comput
– volume: 15
  start-page: 2755
  issue: 10
  year: 2010
  ident: 10.1016/j.aeue.2019.152861_b0250
  article-title: Modified substitution–diffusion image cipher using chaotic standard and logistic maps
  publication-title: Commun Nonlinear Sci Numer Simul
  doi: 10.1016/j.cnsns.2009.11.010
– volume: 90
  start-page: 110
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0070
  article-title: Coexisting bifurcations in a memristive hyperchaotic oscillator
  publication-title: AEU-Int J Electron Communommun
  doi: 10.1016/j.aeue.2018.03.035
– volume: 26
  start-page: 1650139
  issue: 08
  year: 2016
  ident: 10.1016/j.aeue.2019.152861_b0215
  article-title: A chaotic system with different families of hidden attractors
  publication-title: Int J Bifurcat Chaos
  doi: 10.1142/S021812741650139X
– volume: 18
  start-page: 507
  issue: 5
  year: 1971
  ident: 10.1016/j.aeue.2019.152861_b0005
  article-title: Memristor-the missing circuit element
  publication-title: IEEE Trans Circuit Theory
  doi: 10.1109/TCT.1971.1083337
– volume: 7
  start-page: 12584
  year: 2019
  ident: 10.1016/j.aeue.2019.152861_b0280
  article-title: Cryptanalysis and improvement of the image encryption scheme based on 2D logistic-adjusted-sine map
  publication-title: IEEE Access
  doi: 10.1109/ACCESS.2019.2893760
– volume: 81
  start-page: 315
  year: 2015
  ident: 10.1016/j.aeue.2019.152861_b0030
  article-title: Identification of chaotic memristor systems based on piecewise adaptive Legendre filters
  publication-title: Chaos Soliton Fract
  doi: 10.1016/j.chaos.2015.10.005
– volume: 77
  start-page: 231
  year: 2014
  ident: 10.1016/j.aeue.2019.152861_b0025
  article-title: Chaotic behavior in fractional-order memristor-based simplest chaotic circuit using fourth degree polynomial
  publication-title: Nonlinear Dyn
  doi: 10.1007/s11071-014-1286-4
– volume: 22
  start-page: 351
  year: 2014
  ident: 10.1016/j.aeue.2019.152861_b0270
  article-title: A block chaotic image encryption scheme based on self-adaptive modelling
  publication-title: Appl Soft Comput
  doi: 10.1016/j.asoc.2014.05.025
– volume: 25
  start-page: 46
  issue: 4
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0220
  article-title: Cryptanalyzing an image encryption algorithm based on autoblocking and electrocardiography
  publication-title: IEEE Multimedia
  doi: 10.1109/MMUL.2018.2873472
– volume: 91
  start-page: 1491
  issue: 3
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0100
  article-title: Dynamical analysis and FPGA implementation of a chaotic oscillator with fractional-order memristor components
  publication-title: Nonlinear Dyn
  doi: 10.1007/s11071-017-3960-9
– volume: 28
  start-page: 1850050
  issue: 04
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0060
  article-title: Various attractors, coexisting attractors and antimonotonicity in a simple fourth-order memristive twin-T oscillator
  publication-title: Int J Bifurcat Chaos
  doi: 10.1142/S0218127418500505
– volume: 37
  start-page: 3702
  issue: 9
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0125
  article-title: Hyperchaotic memcapacitor oscillator with infinite equilibria and coexisting attractors
  publication-title: Circ Syst Signal Pr
  doi: 10.1007/s00034-018-0750-7
– volume: 225
  start-page: 127
  issue: 1
  year: 2016
  ident: 10.1016/j.aeue.2019.152861_b0015
  article-title: A novel memristive time-delay chaotic system without equilibrium points
  publication-title: Eur Phys J-Spec Top
  doi: 10.1140/epjst/e2016-02625-8
– volume: 6
  start-page: 36002
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0130
  article-title: Synchronization control of memristive multidirectional associative memory neural networks and applications in network security communication
  publication-title: IEEE Access
  doi: 10.1109/ACCESS.2018.2850156
– volume: 28
  start-page: 1850047
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0300
  article-title: A new chaotic image encryption scheme using breadth-first search and dynamic diffusion
  publication-title: Int J Bifurcat Chaos
  doi: 10.1142/S0218127418500475
– volume: 52
  start-page: 1008
  issue: 12
  year: 2016
  ident: 10.1016/j.aeue.2019.152861_b0035
  article-title: Extreme multistability in a memristive circuit
  publication-title: Electron Lett
  doi: 10.1049/el.2016.0563
– volume: 65
  start-page: 235
  issue: 1
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0175
  article-title: One-dimensional nonlinear model for producing chaos
  publication-title: IIEEE Trans Circ Syst-I
– volume: 27
  start-page: 053108
  issue: 5
  year: 2017
  ident: 10.1016/j.aeue.2019.152861_b0210
  article-title: Calculation of Hamilton energy and control of dynamical systems with different types of attractors
  publication-title: Chaos
  doi: 10.1063/1.4983469
– volume: 6
  start-page: 12945
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0075
  article-title: A memristive chaotic oscillator with increasing amplitude and frequency
  publication-title: IEEE Access
  doi: 10.1109/ACCESS.2017.2788408
– volume: 87
  start-page: 12
  year: 2016
  ident: 10.1016/j.aeue.2019.152861_b0080
  article-title: Modeling of memristor-based chaotic systems using nonlinear Wiener adaptive filters based on backslash operator
  publication-title: Chaos Soliton Fract
  doi: 10.1016/j.chaos.2016.03.004
– volume: 57
  start-page: 264
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0105
  article-title: Initial condition-dependent dynamics and transient period in memristor-based hypogenetic jerk system with four line equilibria
  publication-title: Commun Nonlinear Sci Numer Simul
  doi: 10.1016/j.cnsns.2017.10.001
– volume: 41
  start-page: 137
  year: 2016
  ident: 10.1016/j.aeue.2019.152861_b0225
  article-title: A novel lossless color image encryption scheme using 2D DWT and 6D hyperchaotic system
  publication-title: Inform Sci
  doi: 10.1016/j.ins.2016.02.041
– year: 2019
  ident: 10.1016/j.aeue.2019.152861_b0145
  article-title: 2D logistic-modulated-sine-coupling-logistic chaotic map for image encryption
  publication-title: IEEE Access
– volume: 2018
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0055
  article-title: Dynamical behavior of a 3D Jerk system with a generalized memristive device
  publication-title: Complexity
  doi: 10.1155/2018/5620956
– volume: 90
  start-page: 88
  issue: 5
  year: 2017
  ident: 10.1016/j.aeue.2019.152861_b0200
  article-title: Finite-time synchronization of fractional-order simplest two-component chaotic oscillators
  publication-title: Eur Phys J B
  doi: 10.1140/epjb/e2017-70470-8
– volume: 45
  start-page: 1501
  issue: 12
  year: 2012
  ident: 10.1016/j.aeue.2019.152861_b0315
  article-title: Composite dynamical behaviors in a simple series-parallel LC circuit
  publication-title: Chaos Soliton Fract
  doi: 10.1016/j.chaos.2012.08.006
– volume: 76
  start-page: 607
  issue: 1
  year: 2017
  ident: 10.1016/j.aeue.2019.152861_b0260
  article-title: A novel encryption scheme for colored image based on high level chaotic maps
  publication-title: Multimed Tools Appl
  doi: 10.1007/s11042-015-3064-9
– volume: 89
  start-page: 61
  year: 2017
  ident: 10.1016/j.aeue.2019.152861_b0150
  article-title: An image encryption algorithm based on compound homogeneous hyper-chaotic system
  publication-title: Nonlinear Dyn
  doi: 10.1007/s11071-017-3436-y
– year: 2014
  ident: 10.1016/j.aeue.2019.152861_b0010
  article-title: Autowaves in a lattice of memristor-based cells
– volume: 26
  start-page: 073107
  issue: 7
  year: 2016
  ident: 10.1016/j.aeue.2019.152861_b0085
  article-title: Extreme multistability in a memristor-based multi-scroll hyper-chaotic system
  publication-title: Chaos
  doi: 10.1063/1.4958296
– volume: 65
  start-page: 246
  issue: 2
  year: 2018
  ident: 10.1016/j.aeue.2019.152861_b0090
  article-title: A locally active memristor and its application in a chaotic circuit
  publication-title: IEEE Trans Circ Syst-II
– volume: 8
  start-page: 1259
  year: 1998
  ident: 10.1016/j.aeue.2019.152861_b0240
  article-title: Symmetric ciphers based on two-dimensional chaotic maps
  publication-title: Int J Bifurcat Chaos
  doi: 10.1142/S021812749800098X
SSID ssj0020726
Score 2.4319913
Snippet Memristive system and encryption technology are two hot topics in the study of nonlinear dynamics. In this paper, we introduce a memristor-based circuit system...
SourceID crossref
elsevier
SourceType Enrichment Source
Index Database
Publisher
StartPage 152861
SubjectTerms DNA operation
Dynamical behavior
Image encryption
Memristive system
Title Dynamical behavior and image encryption application of a memristor-based circuit system
URI https://dx.doi.org/10.1016/j.aeue.2019.152861
Volume 110
hasFullText 1
inHoldings 1
isFullTextHit
isPrint
link http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwED71scCAeIryqDywIVPn5ThjVagKiC5Q0S1y_JCC6ENRO7Dw27HjpCoS6sDoyJ-UnOzv7pS77wBuhAoiRr0MC8UIDiVLMI8FwVprIn2Tj6lyJMvLmI4m4dM0mjZgUPfC2LLKivsdp5dsXT3pVdbsLfO892o8fchCc1eTwIQ9MW1C2w8SGrWg3X98Ho03eReJfddkFITYAqreGVfmxdXaqmV6iZ0ExKj3t3_a8jnDQziogkXUd-9zBA01P4b9LQnBE3i_dyPlzba64x7xuUT5zBAFMp9TfJWkgLb-VKOFRhzN1KzUFSiw9WQSibwQ63yFnLbzKUyGD2-DEa6GJWARELLC1PeozIw7klyZnEJ7EePal4E0CY3V3JOJYkJQxqWOVEI40WYVsUT4xMBiGZxBa76Yq3NAnGcZDXmsFJHGv3tZImODDQOumK807YBXmygVlZK4HWjxmdYlYx-pNWtqzZo6s3bgdoNZOh2Nnbuj2vLpr9OQGqLfgbv4J-4S9uzKFeldQWtVrNW1CTZWWRead99etzpSP7Wu1N0
linkProvider Elsevier
linkToHtml http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV07T8MwELZKGYAB8RTl6YENmTovxxlRoSrQdqEV3SzHDymIPhSlAwu_HTtOqiKhDoxJ7qTkk313Vr77DoBboYKIEi9FQlGMQkkTxGOBkdYaS9-cx1Q5kmUwJL1x-DKJJg3QqXthLK2yiv0uppfRurrTrtBsL7Ks_WYyfUhDs1eTwJQ9MdkC22EUxJbXd_-94nn4OPZdi1EQImtedc44khdXS6uV6SV2DhAl3t_ZaS3jdA_AflUqwgf3NoegoWZHYG9NQPAYvD-6gfLGrO63h3wmYTY1YQKaj8m_ypAA1_5Tw7mGHE7VtFQVyJHNYxKKLBfLrIBO2fkEjLtPo04PVaMSkAgwLhDxPSJTk4wkV-ZEob2Icu3LQJrjjFXck4miQhDKpY5UgjnW5iqiifCxcYtlcAqas_lMnQHIeZqSkMdKYWmyu5cmMja-YcAV9ZUmLeDVEDFR6YjbcRafrCaMfTALK7OwMgdrC9ytfBZORWOjdVQjz36tBWbC_Aa_83_63YCd3mjQZ_3n4esF2LVPHF3vEjSLfKmuTNlRpNflsvoBf-zVqA
openUrl ctx_ver=Z39.88-2004&ctx_enc=info%3Aofi%2Fenc%3AUTF-8&rfr_id=info%3Asid%2Fsummon.serialssolutions.com&rft_val_fmt=info%3Aofi%2Ffmt%3Akev%3Amtx%3Ajournal&rft.genre=article&rft.atitle=Dynamical+behavior+and+image+encryption+application+of+a+memristor-based+circuit+system&rft.jtitle=International+journal+of+electronics+and+communications&rft.au=Li%2C+Chun-Lai&rft.au=Li%2C+Zhao-Yu&rft.au=Feng%2C+Wei&rft.au=Tong%2C+Yao-Nan&rft.date=2019-10-01&rft.issn=1434-8411&rft.volume=110&rft.spage=152861&rft_id=info:doi/10.1016%2Fj.aeue.2019.152861&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_aeue_2019_152861
thumbnail_l http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1434-8411&client=summon
thumbnail_m http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1434-8411&client=summon
thumbnail_s http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1434-8411&client=summon