Design of two dimensional hyperchaotic system through optimization benchmark function
The hyperchaotic systems are essentially needed for various applications, especially multimedia encryption, watermarking and communications. However, existing chaotic systems have limited chaotic performance in terms of precise chaos measuring tools like bifurcation and attractor diagrams, Lyapunov...
Saved in:
| Published in | Chaos, solitons and fractals Vol. 167; p. 113032 |
|---|---|
| Main Authors | , , |
| Format | Journal Article |
| Language | English |
| Published |
Elsevier Ltd
01.02.2023
|
| Subjects | |
| Online Access | Get full text |
Cover
Loading…
| Abstract | The hyperchaotic systems are essentially needed for various applications, especially multimedia encryption, watermarking and communications. However, existing chaotic systems have limited chaotic performance in terms of precise chaos measuring tools like bifurcation and attractor diagrams, Lyapunov exponent (LE), 0-1 test, correlation dimension (CD) and Kolmogorov entropy (KE). In this paper, a new hyperchaotic system so-called 2D Rosenbrock map is designed by exploiting the Rosenbrock function, which has perfect swinging characteristics in modular form. In order to manage the map, two control parameters are inserted to the Rosenbrock function. The proposed 2D Rosenbrock map is self-verified and also validated over a comparison with the recently reported results. The 2D Rosenbrock map has excellent ergodicity and diversity properties. Moreover, the 2D Rosenbrock map is implemented to multimedia encryption. The findings manifest that the designed 2D Rosenbrock map owns superior chaotic capability due to its reproduction and oscillation features.
•A 2D hyperchaotic system using the Rosenbrock function is designed.•The Rosenbrock function is widely used for testing optimization algorithms.•Effectiveness of the 2D Rosenbrock map is verified via chaos measuring tools.•The 2D Rosenbrock map is also validated through a comprehensive comparison.•Practical capability the 2D Rosenbrock map is examined on image encryption. |
|---|---|
| AbstractList | The hyperchaotic systems are essentially needed for various applications, especially multimedia encryption, watermarking and communications. However, existing chaotic systems have limited chaotic performance in terms of precise chaos measuring tools like bifurcation and attractor diagrams, Lyapunov exponent (LE), 0-1 test, correlation dimension (CD) and Kolmogorov entropy (KE). In this paper, a new hyperchaotic system so-called 2D Rosenbrock map is designed by exploiting the Rosenbrock function, which has perfect swinging characteristics in modular form. In order to manage the map, two control parameters are inserted to the Rosenbrock function. The proposed 2D Rosenbrock map is self-verified and also validated over a comparison with the recently reported results. The 2D Rosenbrock map has excellent ergodicity and diversity properties. Moreover, the 2D Rosenbrock map is implemented to multimedia encryption. The findings manifest that the designed 2D Rosenbrock map owns superior chaotic capability due to its reproduction and oscillation features.
•A 2D hyperchaotic system using the Rosenbrock function is designed.•The Rosenbrock function is widely used for testing optimization algorithms.•Effectiveness of the 2D Rosenbrock map is verified via chaos measuring tools.•The 2D Rosenbrock map is also validated through a comprehensive comparison.•Practical capability the 2D Rosenbrock map is examined on image encryption. |
| ArticleNumber | 113032 |
| Author | Lai, Qiang Erkan, Uğur Toktas, Abdurrahim |
| Author_xml | – sequence: 1 givenname: Uğur surname: Erkan fullname: Erkan, Uğur email: ugurerkan@kmu.edu.tr organization: Department of Computer Engineering, Faculty of Engineering, Karamanoglu Mehmetbey University, 70200 Karaman, Turkey – sequence: 2 givenname: Abdurrahim surname: Toktas fullname: Toktas, Abdurrahim email: toktasa@ankara.edu.tr organization: Department of Artificial Intelligence and Data Engineering, Engineering Faculty, Ankara University, 06830 Gölbaşı, Ankara, Turkey – sequence: 3 givenname: Qiang surname: Lai fullname: Lai, Qiang email: laiqiang87@126.com organization: School of Electrical and Automation Engineering, East China Jiaotong University, Nanchang 330013, China |
| BookMark | eNp9kM1OwzAQhC1UJFrgCbj4BRL8U8fxgQMqv1IlLuVsuc6mcWnsynZB5elJKGdOK-3ujGa-GZr44AGhG0pKSmh1uy1tZ0IqGWGspJQTzs7QlNaSF6yu5QRNiapIQaRUF2iW0pYQQknFpuj9AZLbeBxanL8CblwPPrngzQ53xz3E0Tc7i9MxZehx7mI4bDoc9tn17tvk4RWvwduuN_EDtwdvx9UVOm_NLsH137xEq6fH1eKlWL49vy7ul4UdIuaCWdlwbjisJVfMCMUqNjdKzqGRLXBTQ62gMVbK4UiJFELQSom2Mo3gSvBLxE-2NoaUIrR6H90Q5Kgp0SMYvdW_YPQIRp_ADKq7kwqGZJ8Ook7WDRWgcRFs1k1w_-p_ADepcHM |
| CitedBy_id | crossref_primary_10_1007_s11042_023_17054_6 crossref_primary_10_1007_s11042_024_19024_y crossref_primary_10_1016_j_dsp_2024_104463 crossref_primary_10_1016_j_amc_2023_128340 crossref_primary_10_1016_j_apm_2024_02_009 crossref_primary_10_1016_j_chaos_2024_115076 crossref_primary_10_1007_s10489_023_04996_5 crossref_primary_10_1016_j_chaos_2024_114466 crossref_primary_10_1016_j_chaos_2024_115038 crossref_primary_10_1016_j_eswa_2024_123190 crossref_primary_10_1088_1402_4896_ace1ac crossref_primary_10_3390_sym16070840 crossref_primary_10_1016_j_eswa_2023_121452 crossref_primary_10_1016_j_eswa_2024_123583 |
| Cites_doi | 10.1007/s11071-021-06663-1 10.1142/S0218127406015970 10.1109/ACCESS.2021.3111691 10.1016/j.matcom.2004.09.001 10.1109/TCSI.2021.3121555 10.1016/j.image.2014.06.012 10.1007/s00500-014-1549-5 10.1088/1741-2560/10/3/036023 10.1016/j.ins.2014.11.018 10.1016/j.ins.2021.12.030 10.1007/s11071-021-06472-6 10.1016/j.ins.2018.12.048 10.1016/j.sigpro.2022.108489 10.1016/j.sigpro.2020.107457 10.1109/ACCESS.2019.2953924 10.1016/j.chaos.2021.111691 10.1109/ACCESS.2021.3070350 10.1103/PhysRevA.36.4456 10.1007/s10489-021-02727-2 10.1109/TSMC.2021.3096967 10.1109/TCYB.2016.2642166 10.1016/j.ins.2020.02.008 10.1103/PhysRevA.28.2591 10.1103/PhysRevLett.50.346 10.1109/TCYB.2014.2363168 10.1016/j.optlastec.2021.107252 10.1016/j.ins.2021.02.022 10.1109/TIFS.2018.2812080 10.1016/j.chaos.2022.112770 10.1109/TCSI.2014.2336512 10.1016/j.eswa.2022.118845 10.1093/comjnl/3.3.175 10.1038/261459a0 10.1016/j.ins.2020.09.032 10.1016/j.eswa.2022.119076 10.1109/TSMC.2020.3034746 10.1016/j.ins.2021.12.126 10.1109/TII.2022.3157641 |
| ContentType | Journal Article |
| Copyright | 2022 Elsevier Ltd |
| Copyright_xml | – notice: 2022 Elsevier Ltd |
| DBID | AAYXX CITATION |
| DOI | 10.1016/j.chaos.2022.113032 |
| DatabaseName | CrossRef |
| DatabaseTitle | CrossRef |
| DatabaseTitleList | |
| DeliveryMethod | fulltext_linktorsrc |
| Discipline | Sciences (General) Mathematics |
| EISSN | 1873-2887 |
| ExternalDocumentID | 10_1016_j_chaos_2022_113032 S0960077922012115 |
| GroupedDBID | --K --M -~X .~1 0R~ 1B1 1RT 1~. 1~5 29B 4.4 457 4G. 5GY 5VS 7-5 71M 8P~ 9JN AABNK AACTN AAEDT AAEDW AAIAV AAIKJ AAKOC AALRI AAOAW AAQFI AAQXK AAXUO ABMAC ABNEU ABTAH ABXDB ABYKQ ACDAQ ACFVG ACGFS ACNNM ACRLP ADBBV ADEZE ADMUD AEBSH AEKER AENEX AFFNX AFKWA AFTJW AGHFR AGUBO AGYEJ AHHHB AIEXJ AIKHN AITUG AIVDX AJBFU AJOXV ALMA_UNASSIGNED_HOLDINGS AMFUW AMRAJ ASPBG AVWKF AXJTR AZFZN BBWZM BKOJK BLXMC CS3 DU5 EBS EFJIC EFLBG EJD EO8 EO9 EP2 EP3 F5P FDB FEDTE FGOYB FIRID FNPLU FYGXN G-Q GBLVA HLZ HMV HVGLF HZ~ IHE J1W KOM LG9 M38 M41 MO0 N9A NDZJH O-L O9- OAUVE OGIMB OZT P-8 P-9 P2P PC. Q38 R2- RIG RNS ROL RPZ SBC SDF SDG SDP SES SEW SPC SPCBC SPD SPG SSQ SSZ T5K WUQ XPP ZY4 ~G- AAXKI AAYXX AFJKZ AKRWK CITATION |
| ID | FETCH-LOGICAL-c303t-2c7d33a3eb7392a592624a974ed7fe3a8e89edac772a51075551695f6ad53953 |
| IEDL.DBID | AIKHN |
| ISSN | 0960-0779 |
| IngestDate | Wed Oct 16 15:13:34 EDT 2024 Fri Feb 23 02:38:48 EST 2024 |
| IsPeerReviewed | true |
| IsScholarly | true |
| Keywords | Image encryption Chaotic system Nonlinear system Rosenbrock function |
| Language | English |
| LinkModel | DirectLink |
| MergedId | FETCHMERGED-LOGICAL-c303t-2c7d33a3eb7392a592624a974ed7fe3a8e89edac772a51075551695f6ad53953 |
| ParticipantIDs | crossref_primary_10_1016_j_chaos_2022_113032 elsevier_sciencedirect_doi_10_1016_j_chaos_2022_113032 |
| PublicationCentury | 2000 |
| PublicationDate | February 2023 2023-02-00 |
| PublicationDateYYYYMMDD | 2023-02-01 |
| PublicationDate_xml | – month: 02 year: 2023 text: February 2023 |
| PublicationDecade | 2020 |
| PublicationTitle | Chaos, solitons and fractals |
| PublicationYear | 2023 |
| Publisher | Elsevier Ltd |
| Publisher_xml | – name: Elsevier Ltd |
| References | Zhou, Hua, Pun, Philip Chen (bb0060) 2015; 45 Erkan, Thanh, Hieu, Enginoglu (bb0200) 2019; 7 Grassberger, Procaccia (bb0150) 1983; 28 Zheng, Zeng (bb0020) 2022 Zhu, Jiang, Ni, Wang, Rong, Ahmad (bb0110) 2022; 195 Rosenbrock (bb0115) 1960; 3 Zhang, Zhao, Wang (bb0185) 2014; 29 Erkan, Toktas, Lai (bb0125) 2023; 213 Mansouri, Wang (bb0135) 2020; 520 Márquez-Martínez, Cuesta-García, Pena (bb0045) 2022; 155 Cao, Mao, Zhou (bb0075) 2020; 171 Alvarez, Li (bb0165) 2006; 16 Huang, Wang, Zong (bb0070) 2022; 52 Wang, Jiang, Ge, Hu, Hu (bb0015) 2021; 68 Toktas, Erkan, Toktas, Yetgin (bb0160) 2021; 9 Zhang, Hua, Bao, Huang, Zhou (bb0030) 2022 Chan, Lee, Tan (bb0025) 2022; 52 Wu, Zhou, Bao (bb0055) 2014; 61 Erkan, Toktas, Toktas, Alenezi (bb0190) 2022; 589 Zhou, Wu, Wang, Rahnamayan (bb0050) 2016; 203 Hua, Zhu, Yi, Zhang, Huang (bb0100) 2021; 546 Gao (bb0085) 2021; 142 Preishuber, Hütter, Katzenbeisser, Uhl (bb0195) 2018; 13 Hua, Yi, Zhou, Li, Wu (bb0010) 2018; 48 Gao, Wang, Chen (bb0155) 2013; 10 Franzen (bb0170) 2013 Mansouri, Wang (bb0005) 2021; 563 Theiler (bb0145) 1987; 36 Sun (bb0105) 2021; 9 Castro, Sierra, Seznec, Izquierdo, Ribagorda (bb0175) 2005; 68 Lai, Hu, Erkan, Toktas (bb0180) 2023; 213 Hua, Zhu, Chen, Li (bb0080) 2021; 1044 Hua, Zhou, Huang (bb0120) 2019; 480 Hua, Chen, Bao, Zhou (bb0095) 2022; 52 Hua, Zhou, Pun, Chen (bb0035) 2015; 297 Zheng, Hu (bb0065) 2022; 587 Teng, Wang, Yang, Xian (bb0090) 2021; 2021 Wu, Gao, Wang, Liu, Li, Erkan (bb0130) 2022; 165 Grassberger, Procaccia (bb0140) 1983; 50 May (bb0040) 1976; 261 Mansouri (10.1016/j.chaos.2022.113032_bb0005) 2021; 563 Alvarez (10.1016/j.chaos.2022.113032_bb0165) 2006; 16 Hua (10.1016/j.chaos.2022.113032_bb0095) 2022; 52 Zheng (10.1016/j.chaos.2022.113032_bb0065) 2022; 587 Preishuber (10.1016/j.chaos.2022.113032_bb0195) 2018; 13 Castro (10.1016/j.chaos.2022.113032_bb0175) 2005; 68 Cao (10.1016/j.chaos.2022.113032_bb0075) 2020; 171 Zhang (10.1016/j.chaos.2022.113032_bb0185) 2014; 29 Hua (10.1016/j.chaos.2022.113032_bb0010) 2018; 48 Theiler (10.1016/j.chaos.2022.113032_bb0145) 1987; 36 May (10.1016/j.chaos.2022.113032_bb0040) 1976; 261 Wu (10.1016/j.chaos.2022.113032_bb0130) 2022; 165 Mansouri (10.1016/j.chaos.2022.113032_bb0135) 2020; 520 Franzen (10.1016/j.chaos.2022.113032_bb0170) Márquez-Martínez (10.1016/j.chaos.2022.113032_bb0045) 2022; 155 Hua (10.1016/j.chaos.2022.113032_bb0120) 2019; 480 Zheng (10.1016/j.chaos.2022.113032_bb0020) 2022 Chan (10.1016/j.chaos.2022.113032_bb0025) 2022; 52 Erkan (10.1016/j.chaos.2022.113032_bb0125) 2023; 213 Rosenbrock (10.1016/j.chaos.2022.113032_bb0115) 1960; 3 Gao (10.1016/j.chaos.2022.113032_bb0155) 2013; 10 Hua (10.1016/j.chaos.2022.113032_bb0035) 2015; 297 Zhou (10.1016/j.chaos.2022.113032_bb0050) 2016; 203 Toktas (10.1016/j.chaos.2022.113032_bb0160) 2021; 9 Hua (10.1016/j.chaos.2022.113032_bb0080) 2021; 1044 Hua (10.1016/j.chaos.2022.113032_bb0100) 2021; 546 Zhu (10.1016/j.chaos.2022.113032_bb0110) 2022; 195 Lai (10.1016/j.chaos.2022.113032_bb0180) 2023; 213 Wang (10.1016/j.chaos.2022.113032_bb0015) 2021; 68 Zhang (10.1016/j.chaos.2022.113032_bb0030) 2022 Huang (10.1016/j.chaos.2022.113032_bb0070) 2022; 52 Wu (10.1016/j.chaos.2022.113032_bb0055) 2014; 61 Teng (10.1016/j.chaos.2022.113032_bb0090) 2021; 2021 Gao (10.1016/j.chaos.2022.113032_bb0085) 2021; 142 Zhou (10.1016/j.chaos.2022.113032_bb0060) 2015; 45 Grassberger (10.1016/j.chaos.2022.113032_bb0140) 1983; 50 Erkan (10.1016/j.chaos.2022.113032_bb0200) 2019; 7 Sun (10.1016/j.chaos.2022.113032_bb0105) 2021; 9 Grassberger (10.1016/j.chaos.2022.113032_bb0150) 1983; 28 Erkan (10.1016/j.chaos.2022.113032_bb0190) 2022; 589 |
| References_xml | – volume: 297 start-page: 80 year: 2015 end-page: 94 ident: bb0035 article-title: 2D sine logistic modulation map for image encryption publication-title: Inf Sci (Ny) contributor: fullname: Chen – volume: 10 start-page: 36023 year: 2013 ident: bb0155 article-title: Event-related desynchronization and synchronization quantification in motor-related EEG by kolmogorov entropy publication-title: J Neural Eng contributor: fullname: Chen – volume: 563 start-page: 91 year: 2021 end-page: 110 ident: bb0005 article-title: A novel one-dimensional chaotic map generator and its application in a new index representation-based image encryption scheme publication-title: Inf Sci (Ny) contributor: fullname: Wang – volume: 195 year: 2022 ident: bb0110 article-title: A stable meaningful image encryption scheme using the newly-designed 2D discrete fractional-order chaotic map and Bayesian compressive sensing publication-title: Signal Process contributor: fullname: Ahmad – volume: 29 start-page: 902 year: 2014 end-page: 913 ident: bb0185 article-title: Chaotic image encryption based on circular substitution box and key stream buffer publication-title: Signal Process Image Commun contributor: fullname: Wang – volume: 16 start-page: 2129 year: 2006 end-page: 2151 ident: bb0165 article-title: Some basic cryptographic requirements for chaos-based cryptosystems publication-title: Int J Bifurcation Chaos contributor: fullname: Li – volume: 13 start-page: 2137 year: 2018 end-page: 2150 ident: bb0195 article-title: Depreciating motivation and empirical security analysis of chaos-based image and video encryption publication-title: IEEE Trans Inf Forensics Secur contributor: fullname: Uhl – volume: 61 start-page: 3469 year: 2014 end-page: 3477 ident: bb0055 article-title: Discrete wheel-switching chaotic system and applications publication-title: IEEE Trans Circuits Syst I Regul Pap contributor: fullname: Bao – volume: 546 start-page: 1063 year: 2021 end-page: 1083 ident: bb0100 article-title: Cross-plane colour image encryption using a two-dimensional logistic tent modular map publication-title: Inf Sci (Ny) contributor: fullname: Huang – volume: 480 start-page: 403 year: 2019 end-page: 419 ident: bb0120 article-title: Cosine-transform-based chaotic system for image encryption publication-title: Inf Sci (Ny) contributor: fullname: Huang – volume: 36 start-page: 4456 year: 1987 end-page: 4462 ident: bb0145 article-title: Efficient algorithm for estimating the correlation dimension from a set of discrete points publication-title: Phys Rev A contributor: fullname: Theiler – year: 2022 ident: bb0020 article-title: An image encryption algorithm using a dynamic S-box and chaotic maps publication-title: Appl Intell contributor: fullname: Zeng – volume: 52 start-page: 5938 year: 2022 end-page: 5948 ident: bb0070 article-title: Support vector machine classification over encrypted data publication-title: Appl Intell contributor: fullname: Zong – volume: 7 start-page: 167847 year: 2019 end-page: 167859 ident: bb0200 article-title: An iterative mean filter for image denoising publication-title: IEEE Access contributor: fullname: Enginoglu – volume: 587 start-page: 226 year: 2022 end-page: 246 ident: bb0065 article-title: A highly secure stream cipher based on analog-digital hybrid chaotic system publication-title: Inf Sci (Ny) contributor: fullname: Hu – year: 2013 ident: bb0170 article-title: Kodak. Kodak lossless true color image suite contributor: fullname: Franzen – volume: 589 start-page: 770 year: 2022 end-page: 789 ident: bb0190 article-title: 2D eπ-map for image encryption publication-title: Inf Sci (Ny) contributor: fullname: Alenezi – volume: 68 start-page: 4957 year: 2021 end-page: 4969 ident: bb0015 article-title: Finite-/fixed-time synchronization of memristor chaotic systems and image encryption application publication-title: IEEE Trans Circuits Syst I Regul Pap contributor: fullname: Hu – volume: 261 start-page: 459 year: 1976 end-page: 467 ident: bb0040 article-title: Simple mathematical models with very complicated dynamics publication-title: Nature contributor: fullname: May – volume: 45 start-page: 2001 year: 2015 end-page: 2012 ident: bb0060 article-title: Cascade chaotic system with applications publication-title: IEEE Trans Cybern contributor: fullname: Philip Chen – volume: 68 start-page: 1 year: 2005 end-page: 7 ident: bb0175 article-title: The strict avalanche criterion randomness test publication-title: Math Comput Simul contributor: fullname: Ribagorda – volume: 520 start-page: 46 year: 2020 end-page: 62 ident: bb0135 article-title: A novel one-dimensional sine powered chaotic map and its application in a new image encryption scheme publication-title: Inf Sci (Ny) contributor: fullname: Wang – volume: 2021 start-page: 1859 year: 2021 end-page: 1876 ident: bb0090 article-title: Color image encryption based on cross 2D hyperchaotic map using combined cycle shift scrambling and selecting diffusion publication-title: Nonlinear Dyn contributor: fullname: Xian – volume: 155 year: 2022 ident: bb0045 article-title: Boosting synchronization in chaotic systems: combining past and present interactions publication-title: Chaos Solitons Fractals contributor: fullname: Pena – volume: 52 start-page: 4402 year: 2022 end-page: 4414 ident: bb0095 article-title: Two-dimensional parametric polynomial chaotic system publication-title: IEEE Trans Syst Man, Cybern Syst contributor: fullname: Zhou – volume: 9 start-page: 127814 year: 2021 end-page: 127832 ident: bb0160 article-title: Chaotic map optimization for image encryption using triple objective differential evolution algorithm publication-title: IEEE Access contributor: fullname: Yetgin – volume: 142 year: 2021 ident: bb0085 article-title: Image encryption algorithm based on 2D hyperchaotic map publication-title: Opt Laser Technol contributor: fullname: Gao – volume: 28 start-page: 2591 year: 1983 end-page: 2593 ident: bb0150 article-title: Estimation of the kolmogorov entropy from a chaotic signal publication-title: Phys Rev A contributor: fullname: Procaccia – volume: 213 year: 2023 ident: bb0125 article-title: 2D hyperchaotic system based on schaffer function for image encryption publication-title: Expert Syst Appl contributor: fullname: Lai – volume: 213 year: 2023 ident: bb0180 article-title: A novel pixel-split image encryption scheme based on 2D Salomon map publication-title: Expert Syst Appl contributor: fullname: Toktas – volume: 1044 start-page: 4505 year: 2021 end-page: 4522 ident: bb0080 article-title: Color image encryption using orthogonal Latin squares and a new 2D chaotic system publication-title: Nonlinear Dyn contributor: fullname: Li – volume: 203 start-page: 907 year: 2016 end-page: 924 ident: bb0050 article-title: Gaussian bare-bones artificial bee colony algorithm publication-title: Soft Comput contributor: fullname: Rahnamayan – volume: 9 start-page: 59313 year: 2021 end-page: 59327 ident: bb0105 article-title: 2D-SCMCI hyperchaotic map for image encryption algorithm publication-title: IEEE Access contributor: fullname: Sun – volume: 171 year: 2020 ident: bb0075 article-title: Designing a 2D infinite collapse map for image encryption publication-title: Signal Process contributor: fullname: Zhou – volume: 52 start-page: 1869 year: 2022 end-page: 1881 ident: bb0025 article-title: Secure communication through a chaotic system and a sliding-mode observer publication-title: IEEE Trans Syst Man, Cybern Syst contributor: fullname: Tan – start-page: 1 year: 2022 ident: bb0030 article-title: An n-dimensional chaotic system generation method using parametric Pascal matrix publication-title: IEEE Trans Ind Inf contributor: fullname: Zhou – volume: 3 start-page: 175 year: 1960 end-page: 184 ident: bb0115 article-title: An automatic method for finding the greatest or least value of a function publication-title: Comput J contributor: fullname: Rosenbrock – volume: 50 start-page: 346 year: 1983 end-page: 349 ident: bb0140 article-title: Characterization of strange attractors publication-title: Phys Rev Lett contributor: fullname: Procaccia – volume: 48 start-page: 463 year: 2018 end-page: 473 ident: bb0010 article-title: Designing hyperchaotic cat maps with any desired number of positive lyapunov exponents publication-title: IEEE Trans Cybern contributor: fullname: Wu – volume: 165 year: 2022 ident: bb0130 article-title: AEA-NCS: an audio encryption algorithm based on a nested chaotic system publication-title: Chaos Solitons Fractals contributor: fullname: Erkan – volume: 2021 start-page: 1859 issue: 105 year: 2021 ident: 10.1016/j.chaos.2022.113032_bb0090 article-title: Color image encryption based on cross 2D hyperchaotic map using combined cycle shift scrambling and selecting diffusion publication-title: Nonlinear Dyn doi: 10.1007/s11071-021-06663-1 contributor: fullname: Teng – volume: 16 start-page: 2129 year: 2006 ident: 10.1016/j.chaos.2022.113032_bb0165 article-title: Some basic cryptographic requirements for chaos-based cryptosystems publication-title: Int J Bifurcation Chaos doi: 10.1142/S0218127406015970 contributor: fullname: Alvarez – volume: 9 start-page: 127814 year: 2021 ident: 10.1016/j.chaos.2022.113032_bb0160 article-title: Chaotic map optimization for image encryption using triple objective differential evolution algorithm publication-title: IEEE Access doi: 10.1109/ACCESS.2021.3111691 contributor: fullname: Toktas – volume: 68 start-page: 1 year: 2005 ident: 10.1016/j.chaos.2022.113032_bb0175 article-title: The strict avalanche criterion randomness test publication-title: Math Comput Simul doi: 10.1016/j.matcom.2004.09.001 contributor: fullname: Castro – volume: 68 start-page: 4957 year: 2021 ident: 10.1016/j.chaos.2022.113032_bb0015 article-title: Finite-/fixed-time synchronization of memristor chaotic systems and image encryption application publication-title: IEEE Trans Circuits Syst I Regul Pap doi: 10.1109/TCSI.2021.3121555 contributor: fullname: Wang – volume: 29 start-page: 902 year: 2014 ident: 10.1016/j.chaos.2022.113032_bb0185 article-title: Chaotic image encryption based on circular substitution box and key stream buffer publication-title: Signal Process Image Commun doi: 10.1016/j.image.2014.06.012 contributor: fullname: Zhang – volume: 203 start-page: 907 issue: 20 year: 2016 ident: 10.1016/j.chaos.2022.113032_bb0050 article-title: Gaussian bare-bones artificial bee colony algorithm publication-title: Soft Comput doi: 10.1007/s00500-014-1549-5 contributor: fullname: Zhou – volume: 10 start-page: 36023 year: 2013 ident: 10.1016/j.chaos.2022.113032_bb0155 article-title: Event-related desynchronization and synchronization quantification in motor-related EEG by kolmogorov entropy publication-title: J Neural Eng doi: 10.1088/1741-2560/10/3/036023 contributor: fullname: Gao – volume: 297 start-page: 80 year: 2015 ident: 10.1016/j.chaos.2022.113032_bb0035 article-title: 2D sine logistic modulation map for image encryption publication-title: Inf Sci (Ny) doi: 10.1016/j.ins.2014.11.018 contributor: fullname: Hua – volume: 587 start-page: 226 year: 2022 ident: 10.1016/j.chaos.2022.113032_bb0065 article-title: A highly secure stream cipher based on analog-digital hybrid chaotic system publication-title: Inf Sci (Ny) doi: 10.1016/j.ins.2021.12.030 contributor: fullname: Zheng – volume: 1044 start-page: 4505 issue: 104 year: 2021 ident: 10.1016/j.chaos.2022.113032_bb0080 article-title: Color image encryption using orthogonal Latin squares and a new 2D chaotic system publication-title: Nonlinear Dyn doi: 10.1007/s11071-021-06472-6 contributor: fullname: Hua – volume: 480 start-page: 403 year: 2019 ident: 10.1016/j.chaos.2022.113032_bb0120 article-title: Cosine-transform-based chaotic system for image encryption publication-title: Inf Sci (Ny) doi: 10.1016/j.ins.2018.12.048 contributor: fullname: Hua – year: 2022 ident: 10.1016/j.chaos.2022.113032_bb0020 article-title: An image encryption algorithm using a dynamic S-box and chaotic maps publication-title: Appl Intell contributor: fullname: Zheng – ident: 10.1016/j.chaos.2022.113032_bb0170 contributor: fullname: Franzen – volume: 195 year: 2022 ident: 10.1016/j.chaos.2022.113032_bb0110 article-title: A stable meaningful image encryption scheme using the newly-designed 2D discrete fractional-order chaotic map and Bayesian compressive sensing publication-title: Signal Process doi: 10.1016/j.sigpro.2022.108489 contributor: fullname: Zhu – volume: 171 year: 2020 ident: 10.1016/j.chaos.2022.113032_bb0075 article-title: Designing a 2D infinite collapse map for image encryption publication-title: Signal Process doi: 10.1016/j.sigpro.2020.107457 contributor: fullname: Cao – volume: 7 start-page: 167847 year: 2019 ident: 10.1016/j.chaos.2022.113032_bb0200 article-title: An iterative mean filter for image denoising publication-title: IEEE Access doi: 10.1109/ACCESS.2019.2953924 contributor: fullname: Erkan – volume: 155 year: 2022 ident: 10.1016/j.chaos.2022.113032_bb0045 article-title: Boosting synchronization in chaotic systems: combining past and present interactions publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2021.111691 contributor: fullname: Márquez-Martínez – volume: 9 start-page: 59313 year: 2021 ident: 10.1016/j.chaos.2022.113032_bb0105 article-title: 2D-SCMCI hyperchaotic map for image encryption algorithm publication-title: IEEE Access doi: 10.1109/ACCESS.2021.3070350 contributor: fullname: Sun – volume: 36 start-page: 4456 year: 1987 ident: 10.1016/j.chaos.2022.113032_bb0145 article-title: Efficient algorithm for estimating the correlation dimension from a set of discrete points publication-title: Phys Rev A doi: 10.1103/PhysRevA.36.4456 contributor: fullname: Theiler – volume: 52 start-page: 5938 year: 2022 ident: 10.1016/j.chaos.2022.113032_bb0070 article-title: Support vector machine classification over encrypted data publication-title: Appl Intell doi: 10.1007/s10489-021-02727-2 contributor: fullname: Huang – volume: 52 start-page: 4402 year: 2022 ident: 10.1016/j.chaos.2022.113032_bb0095 article-title: Two-dimensional parametric polynomial chaotic system publication-title: IEEE Trans Syst Man, Cybern Syst doi: 10.1109/TSMC.2021.3096967 contributor: fullname: Hua – volume: 48 start-page: 463 year: 2018 ident: 10.1016/j.chaos.2022.113032_bb0010 article-title: Designing hyperchaotic cat maps with any desired number of positive lyapunov exponents publication-title: IEEE Trans Cybern doi: 10.1109/TCYB.2016.2642166 contributor: fullname: Hua – volume: 520 start-page: 46 year: 2020 ident: 10.1016/j.chaos.2022.113032_bb0135 article-title: A novel one-dimensional sine powered chaotic map and its application in a new image encryption scheme publication-title: Inf Sci (Ny) doi: 10.1016/j.ins.2020.02.008 contributor: fullname: Mansouri – volume: 28 start-page: 2591 year: 1983 ident: 10.1016/j.chaos.2022.113032_bb0150 article-title: Estimation of the kolmogorov entropy from a chaotic signal publication-title: Phys Rev A doi: 10.1103/PhysRevA.28.2591 contributor: fullname: Grassberger – volume: 50 start-page: 346 year: 1983 ident: 10.1016/j.chaos.2022.113032_bb0140 article-title: Characterization of strange attractors publication-title: Phys Rev Lett doi: 10.1103/PhysRevLett.50.346 contributor: fullname: Grassberger – volume: 45 start-page: 2001 year: 2015 ident: 10.1016/j.chaos.2022.113032_bb0060 article-title: Cascade chaotic system with applications publication-title: IEEE Trans Cybern doi: 10.1109/TCYB.2014.2363168 contributor: fullname: Zhou – volume: 142 year: 2021 ident: 10.1016/j.chaos.2022.113032_bb0085 article-title: Image encryption algorithm based on 2D hyperchaotic map publication-title: Opt Laser Technol doi: 10.1016/j.optlastec.2021.107252 contributor: fullname: Gao – volume: 563 start-page: 91 year: 2021 ident: 10.1016/j.chaos.2022.113032_bb0005 article-title: A novel one-dimensional chaotic map generator and its application in a new index representation-based image encryption scheme publication-title: Inf Sci (Ny) doi: 10.1016/j.ins.2021.02.022 contributor: fullname: Mansouri – volume: 13 start-page: 2137 year: 2018 ident: 10.1016/j.chaos.2022.113032_bb0195 article-title: Depreciating motivation and empirical security analysis of chaos-based image and video encryption publication-title: IEEE Trans Inf Forensics Secur doi: 10.1109/TIFS.2018.2812080 contributor: fullname: Preishuber – volume: 165 year: 2022 ident: 10.1016/j.chaos.2022.113032_bb0130 article-title: AEA-NCS: an audio encryption algorithm based on a nested chaotic system publication-title: Chaos Solitons Fractals doi: 10.1016/j.chaos.2022.112770 contributor: fullname: Wu – volume: 61 start-page: 3469 year: 2014 ident: 10.1016/j.chaos.2022.113032_bb0055 article-title: Discrete wheel-switching chaotic system and applications publication-title: IEEE Trans Circuits Syst I Regul Pap doi: 10.1109/TCSI.2014.2336512 contributor: fullname: Wu – volume: 213 year: 2023 ident: 10.1016/j.chaos.2022.113032_bb0180 article-title: A novel pixel-split image encryption scheme based on 2D Salomon map publication-title: Expert Syst Appl doi: 10.1016/j.eswa.2022.118845 contributor: fullname: Lai – volume: 3 start-page: 175 year: 1960 ident: 10.1016/j.chaos.2022.113032_bb0115 article-title: An automatic method for finding the greatest or least value of a function publication-title: Comput J doi: 10.1093/comjnl/3.3.175 contributor: fullname: Rosenbrock – volume: 261 start-page: 459 year: 1976 ident: 10.1016/j.chaos.2022.113032_bb0040 article-title: Simple mathematical models with very complicated dynamics publication-title: Nature doi: 10.1038/261459a0 contributor: fullname: May – volume: 546 start-page: 1063 year: 2021 ident: 10.1016/j.chaos.2022.113032_bb0100 article-title: Cross-plane colour image encryption using a two-dimensional logistic tent modular map publication-title: Inf Sci (Ny) doi: 10.1016/j.ins.2020.09.032 contributor: fullname: Hua – volume: 213 year: 2023 ident: 10.1016/j.chaos.2022.113032_bb0125 article-title: 2D hyperchaotic system based on schaffer function for image encryption publication-title: Expert Syst Appl doi: 10.1016/j.eswa.2022.119076 contributor: fullname: Erkan – volume: 52 start-page: 1869 year: 2022 ident: 10.1016/j.chaos.2022.113032_bb0025 article-title: Secure communication through a chaotic system and a sliding-mode observer publication-title: IEEE Trans Syst Man, Cybern Syst doi: 10.1109/TSMC.2020.3034746 contributor: fullname: Chan – volume: 589 start-page: 770 year: 2022 ident: 10.1016/j.chaos.2022.113032_bb0190 article-title: 2D eπ-map for image encryption publication-title: Inf Sci (Ny) doi: 10.1016/j.ins.2021.12.126 contributor: fullname: Erkan – start-page: 1 year: 2022 ident: 10.1016/j.chaos.2022.113032_bb0030 article-title: An n-dimensional chaotic system generation method using parametric Pascal matrix publication-title: IEEE Trans Ind Inf doi: 10.1109/TII.2022.3157641 contributor: fullname: Zhang |
| SSID | ssj0001062 |
| Score | 2.5483916 |
| Snippet | The hyperchaotic systems are essentially needed for various applications, especially multimedia encryption, watermarking and communications. However, existing... |
| SourceID | crossref elsevier |
| SourceType | Aggregation Database Publisher |
| StartPage | 113032 |
| SubjectTerms | Chaotic system Image encryption Nonlinear system Rosenbrock function |
| Title | Design of two dimensional hyperchaotic system through optimization benchmark function |
| URI | https://dx.doi.org/10.1016/j.chaos.2022.113032 |
| Volume | 167 |
| hasFullText | 1 |
| inHoldings | 1 |
| isFullTextHit | |
| isPrint | |
| link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV1LT8JAEJ7wuOjBCGrEB9mDB01cge622x4JSlADFyHh1mzb3YAGSgDjzd_ubLslmhgPXiedpv12dx7ZmW8ArmLf5UKLiCrfUZQHnqQSMyHKcX90Ij-JO9w0Jw9H3mDCn6butAS9ohfGlFVa25_b9MxaW0nLotlazeetFxN8t4UIHCfjKXPLUEV3xHkFqt3H58FoZ5Ax68kuE_B5ahQK8qGszCueydTQdjuOGW_SZs7vDuqb0-kfwoGNFkk3_6AalNSyDvvDHdXqpg41ezo35NpSSN8cweQ-K8wgqSbbj5QkhsI_p98gM0w8DT9Siuok53EmdlgPSdF-LGxjJonwrbOFXL8R4_uM6BjG_Ydxb0DtAAUa459sqROLhDHJVCQwDJKu4QbkEjMIlQitmPSVH6hExhhhSzybws1uzVztycRlgctOoLJMl-oUCIv8iEco1kHMmVJSKe23tcbo0NOB5zTgtgAtXOU0GWFRP_YaZhiHBuMwx7gBXgFs-GO1QzTkfyme_VfxHPbMoPi83voCKtv1u7rEcGIbNaF899lp2k3zBXITymg |
| link.rule.ids | 315,786,790,4521,24144,27955,27956,45618,45712 |
| linkProvider | Elsevier |
| linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwnV3PT8IwFH5BPKgHI6gRf_bgQRMn0G7rdjQoQQUuQsKt6bY2oIERwHjzb_d16_yRGA9em3bZ3tr3vpd-73sA53HguVzzyFEBVY4b-tKRmAk5Lu6PZhQkcdM1xcm9vt8Zug8jb1SCVlELY2iV1vfnPj3z1nakbq1Zn08m9ScDvhuch5RmOmXeGqwbNGB4XdfvXzwPzHmyqwSc7ZjphfRQRvKKxzI1ot2UmuYmDUZ_D0_fQk57B7YtViQ3-etUoKRmVdjqfQqtLqtQsWdzSS6sgPTlLgxvM1oGSTVZvaUkMQL-ufgGGWPaadSRUlxOchVnYlv1kBS9x9SWZZIInzqeysULMZHPDO3BoH03aHUc2z7BifFLVg6NecKYZCriCIKkZ5QBXYn5g0q4VkwGKghVImPE1xJPJveyOzNP-zLxWOixfSjP0pk6AMKiIHIjHNZh7DKlpFI6aGiN2NDXoU9rcFUYTcxzkQxRsMeeRWZjYWwschvXwC8MK378a4Fu_K-Fh_9deAYbnUGvK7r3_ccj2DQt43Pm9TGUV4tXdYLAYhWdZhvnAzssyz0 |
| 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=Design+of+two+dimensional+hyperchaotic+system+through+optimization+benchmark+function&rft.jtitle=Chaos%2C+solitons+and+fractals&rft.au=Erkan%2C+U%C4%9Fur&rft.au=Toktas%2C+Abdurrahim&rft.au=Lai%2C+Qiang&rft.date=2023-02-01&rft.issn=0960-0779&rft.volume=167&rft.spage=113032&rft_id=info:doi/10.1016%2Fj.chaos.2022.113032&rft.externalDBID=n%2Fa&rft.externalDocID=10_1016_j_chaos_2022_113032 |
| thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=0960-0779&client=summon |
| thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=0960-0779&client=summon |
| thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=0960-0779&client=summon |