Chaotic Dynamics of a Mixed Rayleigh–Liénard Oscillator Driven by Parametric Periodic Damping and External Excitations
In this paper, chaotic dynamics of a mixed Rayleigh–Liénard oscillator driven by parametric periodic damping and external excitations is investigated analytically and numerically. The equilibrium points and their stability evolutions are analytically analyzed, and the transitions of dynamical behavi...
Saved in:
Published in | Complexity (New York, N.Y.) Vol. 2021; no. 1 |
---|---|
Main Authors | , , , |
Format | Journal Article |
Language | English |
Published |
Hoboken
Hindawi
2021
Hindawi Limited Wiley |
Subjects | |
Online Access | Get full text |
Cover
Loading…
Abstract | In this paper, chaotic dynamics of a mixed Rayleigh–Liénard oscillator driven by parametric periodic damping and external excitations is investigated analytically and numerically. The equilibrium points and their stability evolutions are analytically analyzed, and the transitions of dynamical behaviors are explored in detail. Furthermore, from the Melnikov method, the analytical criterion for the appearance of the homoclinic chaos is derived. Analytical prediction is tested against numerical simulations based on the basin of attraction of initial conditions. As a result, it is found that for ω=ν, the chaotic region decreases and disappears when the amplitude of the parametric periodic damping excitation increases. Moreover, increasing of F1 and F0 provokes an erosion of the basin of attraction and a modification of the geometrical shape of the chaotic attractors. For ω≠ν and η=0.8, the fractality of the basin of attraction increases as the amplitude of the external periodic excitation and constant term increase. Bifurcation structures of our system are performed through the fourth-order Runge–Kutta ode 45 algorithm. It is found that the system displays a remarkable route to chaos. It is also found that the system exhibits monostable and bistable oscillations as well as the phenomenon of coexistence of attractors. |
---|---|
AbstractList | In this paper, chaotic dynamics of a mixed Rayleigh–Liénard oscillator driven by parametric periodic damping and external excitations is investigated analytically and numerically. The equilibrium points and their stability evolutions are analytically analyzed, and the transitions of dynamical behaviors are explored in detail. Furthermore, from the Melnikov method, the analytical criterion for the appearance of the homoclinic chaos is derived. Analytical prediction is tested against numerical simulations based on the basin of attraction of initial conditions. As a result, it is found that for ω=ν, the chaotic region decreases and disappears when the amplitude of the parametric periodic damping excitation increases. Moreover, increasing of F1 and F0 provokes an erosion of the basin of attraction and a modification of the geometrical shape of the chaotic attractors. For ω≠ν and η=0.8, the fractality of the basin of attraction increases as the amplitude of the external periodic excitation and constant term increase. Bifurcation structures of our system are performed through the fourth-order Runge–Kutta ode 45 algorithm. It is found that the system displays a remarkable route to chaos. It is also found that the system exhibits monostable and bistable oscillations as well as the phenomenon of coexistence of attractors. In this paper, chaotic dynamics of a mixed Rayleigh–Liénard oscillator driven by parametric periodic damping and external excitations is investigated analytically and numerically. The equilibrium points and their stability evolutions are analytically analyzed, and the transitions of dynamical behaviors are explored in detail. Furthermore, from the Melnikov method, the analytical criterion for the appearance of the homoclinic chaos is derived. Analytical prediction is tested against numerical simulations based on the basin of attraction of initial conditions. As a result, it is found that for ω = ν , the chaotic region decreases and disappears when the amplitude of the parametric periodic damping excitation increases. Moreover, increasing of F 1 and F 0 provokes an erosion of the basin of attraction and a modification of the geometrical shape of the chaotic attractors. For ω ≠ ν and η = 0.8, the fractality of the basin of attraction increases as the amplitude of the external periodic excitation and constant term increase. Bifurcation structures of our system are performed through the fourth‐order Runge–Kutta ode 45 algorithm. It is found that the system displays a remarkable route to chaos. It is also found that the system exhibits monostable and bistable oscillations as well as the phenomenon of coexistence of attractors. |
Author | Hinvi, Laurent Amoussou Adéchinan, Joseph Adébiyi Miwadinou, Clément Hodévèwan Kpomahou, Yélomè Judicaël Fernando |
Author_xml | – sequence: 1 givenname: Yélomè Judicaël Fernando orcidid: 0000-0003-4496-818X surname: Kpomahou fullname: Kpomahou, Yélomè Judicaël Fernando organization: Department of Industrial and Technical SciencesLARPETENSET-LokossaUniversité Nationale des Sciences, TechnologiesIngénierie et Mathématiques-AbomeyAbomeyBenin – sequence: 2 givenname: Laurent Amoussou surname: Hinvi fullname: Hinvi, Laurent Amoussou organization: Département de Génie Mécanique et Productique (GMP)Institut National Supérieur de Technologie Industrielle (INSTI) Lokossa/UNSTIM-AbomeyAbomeyBenin – sequence: 3 givenname: Joseph Adébiyi surname: Adéchinan fullname: Adéchinan, Joseph Adébiyi organization: Department of PhysicsFAST-NatitingouUniversité Nationale des Sciences, TechnologiesIngénierie et Mathématiques-AbomeyAbomeyBenin – sequence: 4 givenname: Clément Hodévèwan orcidid: 0000-0001-9369-9583 surname: Miwadinou fullname: Miwadinou, Clément Hodévèwan organization: Department of PhysicsENS-NatitingouUniversité Nationale des Sciences, TechnologiesIngénierie et Mathématiques-AbomeyAbomeyBenin |
BookMark | eNp9kUtuFDEQhi0UJJLAjgNYYpk08aPttpdoEiDSoEQoWVvVtnvGox57YnceveMOnIJzcBNOQjcTZcmqSqVPX6nqP0IHMUWP0HtKPlIqxBkjjJ5JySnR9St0OBVdEcHkwdw3smKNat6go1I2hBAteXOIxsUa0hAsPh8jbIMtOHUY8Lfw5B3-DmPvw2r958fPZfj9K0J2-KrY0PcwpIzPc3jwEbcjvoYMWz_kyXPtc0huFsJ2F-IKQ3T44mnwOUI_NTYMMIQUy1v0uoO--HfP9Rjdfr64WXytlldfLheflpWtCR8qYG2tuCLS-7qWbU1py1vhmRZNZy1nDpzimigvpdetpbLVVDkOrhXSqlrwY3S597oEG7PLYQt5NAmC-TdIeWUgTx_ovZG00U5yZ4VoajepmBPgOOk4lZ40anJ92Lt2Od3d-zKYTbqfDyuGCaKYlEzTiTrdUzanUrLvXrZSYuagzByUeQ5qwk_2-DpEB4_h__Rf1baVdQ |
CitedBy_id | crossref_primary_10_1016_j_aeue_2022_154397 crossref_primary_10_1088_1402_4896_ad5066 crossref_primary_10_1142_S0218127423300069 crossref_primary_10_1140_epjp_s13360_022_02997_w crossref_primary_10_1007_s12648_021_02266_z crossref_primary_10_1007_s12043_022_02412_0 crossref_primary_10_1016_j_cjph_2022_03_052 crossref_primary_10_1088_1402_4896_acf3ad crossref_primary_10_31801_cfsuasmas_1126025 |
Cites_doi | 10.1142/S0218127492000197 10.1007/s11071-019-04890-1 10.1016/s0375-9601(98)00766-x 10.1007/s11071-011-0031-5 10.1007/s11071-016-2988-609.2021077 10.1142/s0218127412501337 10.1109/JPROC.2012.2190814 10.1007/978-3-030-11921-8 10.1504/ijndc.2018.093625 10.1142/s0218127400001419 10.1134/s1560354715020045 10.1002/cta.2492 10.1063/1.4934653 10.1177/1077546310395969 10.1103/physreva.41.726 10.1023/a:1012927427474 10.1155/2020/8822534 10.1016/j.chaos.2007.05.007 10.1016/s0006-3495(61)86902-6 10.1007/s11071-020-05831-z 10.1134/s2070048217030036 10.1016/s0362-546x(97)00237-x 10.1007/978-1-4684-0392-3 10.1016/j.ymssp.2018.03.061 10.1155/2020/8823458 10.1016/j.nonrwa.2012.11.002 10.1103/physreve.49.4950 10.1088/0022-3727/46/9/093001 10.1109/JRPROC.1962.288235 10.1016/j.amc.2017.08.008 10.1142/s0218127418500694 10.1109/jproc.2009.2021077 10.1007/s11071-017-3889-z 10.1007/s00422-013-0559-1 10.1155/2017/3769870 10.1134/s1560354714060070 10.1016/j.chaos.2008.03.013 10.1016/j.physa.2005.06.070 10.1007/s11071-018-4312-0 10.1016/j.amc.2015.08.049 10.1016/j.jmps.2018.06.004 10.1155/2015/561901 10.1098/rsta.2014.0402 10.1155/2019/3687635 10.1016/0304-3800(92)90043-e 10.1103/physreve.55.5134 10.1016/j.cnsns.2010.08.031 10.1016/j.jsv.2013.06.005 10.1016/j.ymssp.2016.02.037 10.1140/epjst/e2015-02480-1 10.1201/9781420035339 10.1007/s11431-019-1458-5 10.1155/2012/546364 10.1016/j.crvi.2006.12.001 10.1134/s1560354714060021 10.2991/icmmbe-16.2016.56 |
ContentType | Journal Article |
Copyright | Copyright © 2021 Yélomè Judicaël Fernando Kpomahou et al. Copyright © 2021 Yélomè Judicaël Fernando Kpomahou et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
Copyright_xml | – notice: Copyright © 2021 Yélomè Judicaël Fernando Kpomahou et al. – notice: Copyright © 2021 Yélomè Judicaël Fernando Kpomahou et al. This is an open access article distributed under the Creative Commons Attribution License (the “License”), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License. https://creativecommons.org/licenses/by/4.0 |
DBID | RHU RHW RHX AAYXX CITATION 3V. 7XB 8FE 8FG 8FK 8G5 ABUWG AFKRA ARAPS AZQEC BENPR BGLVJ CCPQU DWQXO GNUQQ GUQSH HCIFZ JQ2 K7- M2O MBDVC P5Z P62 PQEST PQQKQ PQUKI PRINS Q9U DOA |
DOI | 10.1155/2021/6631094 |
DatabaseName | Hindawi Publishing Complete Hindawi Publishing Subscription Journals Open Access Journals (Hindawi Publishing) CrossRef ProQuest Central (Corporate) ProQuest Central (purchase pre-March 2016) ProQuest SciTech Collection ProQuest Technology Collection ProQuest Central (Alumni) (purchase pre-March 2016) Research Library (Alumni Edition) ProQuest Central (Alumni) ProQuest Central Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Central Technology Collection ProQuest One Community College ProQuest Central Korea ProQuest Central Student Research Library Prep SciTech Premium Collection ProQuest Computer Science Collection Computer Science Database Research Library Research Library (Corporate) Advanced Technologies & Aerospace Database ProQuest Advanced Technologies & Aerospace Collection ProQuest One Academic Eastern Edition (DO NOT USE) ProQuest One Academic ProQuest One Academic UKI Edition ProQuest Central China ProQuest Central Basic DOAJ Directory of Open Access Journals |
DatabaseTitle | CrossRef Advanced Technologies & Aerospace Collection Research Library Prep Computer Science Database ProQuest Central Student Technology Collection ProQuest Central Basic ProQuest Advanced Technologies & Aerospace Collection ProQuest Central Essentials ProQuest Computer Science Collection ProQuest One Academic Eastern Edition ProQuest Central (Alumni Edition) SciTech Premium Collection ProQuest One Community College ProQuest Technology Collection Research Library (Alumni Edition) ProQuest SciTech Collection ProQuest Central China ProQuest Central Advanced Technologies & Aerospace Database ProQuest One Academic UKI Edition ProQuest Central Korea ProQuest Research Library ProQuest One Academic ProQuest Central (Alumni) |
DatabaseTitleList | CrossRef Advanced Technologies & Aerospace Collection |
Database_xml | – sequence: 1 dbid: RHX name: Open Access Journals (Hindawi Publishing) url: http://www.hindawi.com/journals/ sourceTypes: Publisher – sequence: 2 dbid: DOA name: DOAJ Directory of Open Access Journals url: https://www.doaj.org/ sourceTypes: Open Website – sequence: 3 dbid: 8FG name: ProQuest Technology Collection url: https://search.proquest.com/technologycollection1 sourceTypes: Aggregation Database |
DeliveryMethod | fulltext_linktorsrc |
Discipline | Sciences (General) Mathematics |
EISSN | 1099-0526 |
Editor | Fu, Chong |
Editor_xml | – sequence: 1 givenname: Chong surname: Fu fullname: Fu, Chong – fullname: Chong Fu |
ExternalDocumentID | oai_doaj_org_article_6179d63dc5574d16b2d5ad30f316e078 10_1155_2021_6631094 |
GroupedDBID | .3N .DC .GA 05W 0R~ 10A 1L6 1OC 33P 3SF 3V. 3WU 4.4 4ZD 50Y 50Z 51W 51X 52M 52N 52O 52P 52S 52T 52U 52W 52X 5GY 66C 702 7PT 8-0 8-1 8-3 8-4 8-5 8FE 8FG 8G5 8UM 930 A03 AAESR AAFWJ AAJEY AAONW ABCQN ABEML ABIJN ABPVW ABUWG ACSCC ADBBV ADIZJ AENEX AFBPY AFKRA AFPKN AJXKR ALAGY ALMA_UNASSIGNED_HOLDINGS AMBMR ARAPS ATUGU AZBYB AZQEC AZVAB BAFTC BCNDV BENPR BGLVJ BHBCM BNHUX BPHCQ BROTX BRXPI BY8 CCPQU CS3 D-E D-F DPXWK DR2 DU5 DWQXO EBD EBS F00 F01 F04 F5P G-S G.N GNP GNUQQ GODZA GROUPED_DOAJ GUQSH H.T H.X HBH HCIFZ HHY HZ~ IAO ITC IX1 J0M JPC K6V K7- KQQ LAW LC2 LC3 LP6 LP7 M2O MK4 N04 N05 N9A NF~ NNB O66 O9- OIG OK1 P2P P2W P2X P4D P62 PQQKQ PROAC Q.N Q11 QB0 QRW R.K RHU RHW RHX RWI RX1 RYL SUPJJ TUS V2E W8V W99 WBKPD WIH WQJ WRC XBAML XG1 XPP XSW XV2 ~IA ~WT .Y3 24P 31~ 3R3 5VS AAEVG AAHHS AAYXX ACBWZ ACCFJ ACXQS ADZOD AEEZP AEIMD AEQDE AFZJQ AIWBW AJBDE ASPBG AVWKF AZFZN BDRZF BFHJK CITATION DCZOG EJD FEDTE H13 HF~ HVGLF LH4 LW6 ROL WYUIH 7XB 8FK JQ2 MBDVC PQEST PQUKI PRINS Q9U |
ID | FETCH-LOGICAL-c403t-a2b483806ee446b411b3b5e2957fcc32dad83908e66e9bc16b918d3adb56c8453 |
IEDL.DBID | RHX |
ISSN | 1076-2787 |
IngestDate | Tue Oct 22 15:10:40 EDT 2024 Thu Oct 10 19:32:50 EDT 2024 Fri Aug 23 04:18:27 EDT 2024 Sun Jun 02 19:16:35 EDT 2024 |
IsDoiOpenAccess | true |
IsOpenAccess | true |
IsPeerReviewed | true |
IsScholarly | true |
Issue | 1 |
Language | English |
License | This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. |
LinkModel | DirectLink |
MergedId | FETCHMERGED-LOGICAL-c403t-a2b483806ee446b411b3b5e2957fcc32dad83908e66e9bc16b918d3adb56c8453 |
ORCID | 0000-0003-4496-818X 0000-0001-9369-9583 |
OpenAccessLink | https://dx.doi.org/10.1155/2021/6631094 |
PQID | 2508266291 |
PQPubID | 2029978 |
ParticipantIDs | doaj_primary_oai_doaj_org_article_6179d63dc5574d16b2d5ad30f316e078 proquest_journals_2508266291 crossref_primary_10_1155_2021_6631094 hindawi_primary_10_1155_2021_6631094 |
PublicationCentury | 2000 |
PublicationDate | 2021-00-00 |
PublicationDateYYYYMMDD | 2021-01-01 |
PublicationDate_xml | – year: 2021 text: 2021-00-00 |
PublicationDecade | 2020 |
PublicationPlace | Hoboken |
PublicationPlace_xml | – name: Hoboken |
PublicationTitle | Complexity (New York, N.Y.) |
PublicationYear | 2021 |
Publisher | Hindawi Hindawi Limited Wiley |
Publisher_xml | – name: Hindawi – name: Hindawi Limited – name: Wiley |
References | Gradshteyn I. S. (e_1_2_8_63_2) 2007 e_1_2_8_28_2 e_1_2_8_49_2 Kpomahou Y. J. F. (e_1_2_8_2_2) 2015; 3 e_1_2_8_24_2 e_1_2_8_45_2 e_1_2_8_9_2 e_1_2_8_5_2 e_1_2_8_7_2 Kpomahou Y. J. F. (e_1_2_8_26_2) 2020; 10 e_1_2_8_20_2 e_1_2_8_41_2 Xu Q. (e_1_2_8_47_2) 2017; 5 e_1_2_8_66_2 e_1_2_8_22_2 e_1_2_8_43_2 e_1_2_8_64_2 e_1_2_8_62_2 e_1_2_8_60_2 e_1_2_8_17_2 e_1_2_8_38_2 e_1_2_8_13_2 e_1_2_8_34_2 e_1_2_8_59_2 e_1_2_8_15_2 e_1_2_8_36_2 Miwadinou C. H. (e_1_2_8_18_2) 2015; 28 Vaidyanathan S. (e_1_2_8_57_2) 2016; 9 e_1_2_8_30_2 e_1_2_8_55_2 e_1_2_8_11_2 e_1_2_8_32_2 e_1_2_8_53_2 e_1_2_8_51_2 e_1_2_8_27_2 e_1_2_8_29_2 e_1_2_8_23_2 e_1_2_8_46_2 e_1_2_8_25_2 e_1_2_8_48_2 e_1_2_8_67_2 Grimshaw R. (e_1_2_8_10_2) 1990 Monwanou A. V. (e_1_2_8_21_2) 2017; 3 e_1_2_8_4_2 e_1_2_8_6_2 e_1_2_8_8_2 e_1_2_8_42_2 e_1_2_8_65_2 e_1_2_8_44_2 e_1_2_8_61_2 Kpomahou Y. J. F. (e_1_2_8_19_2) 2019; 7 e_1_2_8_40_2 e_1_2_8_16_2 e_1_2_8_39_2 Monsia M. D. (e_1_2_8_3_2) 2012; 3 e_1_2_8_12_2 e_1_2_8_35_2 e_1_2_8_58_2 e_1_2_8_14_2 e_1_2_8_37_2 e_1_2_8_56_2 Kpomahou F. Y. J. (e_1_2_8_1_2) 2019; 3 e_1_2_8_31_2 e_1_2_8_54_2 e_1_2_8_33_2 e_1_2_8_52_2 e_1_2_8_50_2 |
References_xml | – volume: 3 start-page: 107 year: 2012 ident: e_1_2_8_3_2 article-title: A mathematical model for predicting the relaxation of creep strains in materials publication-title: Physical Review and Research International contributor: fullname: Monsia M. D. – ident: e_1_2_8_38_2 doi: 10.1142/S0218127492000197 – ident: e_1_2_8_48_2 doi: 10.1007/s11071-019-04890-1 – ident: e_1_2_8_65_2 doi: 10.1016/s0375-9601(98)00766-x – ident: e_1_2_8_31_2 doi: 10.1007/s11071-011-0031-5 – volume: 5 start-page: 21039 year: 2017 ident: e_1_2_8_47_2 article-title: Non-autonomous second-order memristive chaotic circuit publication-title: IEEE contributor: fullname: Xu Q. – ident: e_1_2_8_46_2 doi: 10.1007/s11071-016-2988-609.2021077 – ident: e_1_2_8_58_2 doi: 10.1142/s0218127412501337 – ident: e_1_2_8_42_2 doi: 10.1109/JPROC.2012.2190814 – ident: e_1_2_8_43_2 doi: 10.1007/978-3-030-11921-8 – ident: e_1_2_8_16_2 doi: 10.1504/ijndc.2018.093625 – ident: e_1_2_8_29_2 doi: 10.1142/s0218127400001419 – volume: 3 start-page: 1 year: 2019 ident: e_1_2_8_1_2 article-title: A mathematical model for polarization dynamics in a BTS15 ceramics publication-title: Journal of Materials Sciences Research and Reviews contributor: fullname: Kpomahou F. Y. J. – ident: e_1_2_8_5_2 doi: 10.1134/s1560354715020045 – ident: e_1_2_8_49_2 doi: 10.1002/cta.2492 – ident: e_1_2_8_59_2 doi: 10.1063/1.4934653 – ident: e_1_2_8_32_2 doi: 10.1177/1077546310395969 – ident: e_1_2_8_67_2 doi: 10.1103/physreva.41.726 – ident: e_1_2_8_17_2 doi: 10.1023/a:1012927427474 – ident: e_1_2_8_27_2 doi: 10.1155/2020/8822534 – ident: e_1_2_8_22_2 doi: 10.1016/j.chaos.2007.05.007 – ident: e_1_2_8_53_2 doi: 10.1016/s0006-3495(61)86902-6 – ident: e_1_2_8_52_2 doi: 10.1007/s11071-020-05831-z – ident: e_1_2_8_55_2 doi: 10.1134/s2070048217030036 – ident: e_1_2_8_66_2 doi: 10.1016/s0362-546x(97)00237-x – ident: e_1_2_8_9_2 doi: 10.1007/978-1-4684-0392-3 – volume: 3 start-page: 96 year: 2017 ident: e_1_2_8_21_2 article-title: Nonlinear resonances in a forced modified Rayleigh-Duffing oscillator publication-title: International Journal of Scientific Engineering and Applied Science contributor: fullname: Monwanou A. V. – ident: e_1_2_8_36_2 doi: 10.1016/j.ymssp.2018.03.061 – ident: e_1_2_8_62_2 doi: 10.1155/2020/8823458 – ident: e_1_2_8_12_2 doi: 10.1016/j.nonrwa.2012.11.002 – ident: e_1_2_8_28_2 doi: 10.1103/physreve.49.4950 – ident: e_1_2_8_45_2 doi: 10.1088/0022-3727/46/9/093001 – ident: e_1_2_8_54_2 doi: 10.1109/JRPROC.1962.288235 – ident: e_1_2_8_14_2 doi: 10.1016/j.amc.2017.08.008 – ident: e_1_2_8_15_2 doi: 10.1142/s0218127418500694 – ident: e_1_2_8_44_2 doi: 10.1109/jproc.2009.2021077 – ident: e_1_2_8_33_2 doi: 10.1007/s11071-017-3889-z – ident: e_1_2_8_56_2 doi: 10.1007/s00422-013-0559-1 – ident: e_1_2_8_24_2 doi: 10.1155/2017/3769870 – ident: e_1_2_8_7_2 doi: 10.1134/s1560354714060070 – ident: e_1_2_8_23_2 doi: 10.1016/j.chaos.2008.03.013 – volume: 7 start-page: 29 year: 2019 ident: e_1_2_8_19_2 article-title: Regular and chaotic oscillations in a modified Rayleigh-Liénard system under parametric excitation publication-title: International Journal of Advances in Applied Mathematics and Mechanics contributor: fullname: Kpomahou Y. J. F. – ident: e_1_2_8_64_2 doi: 10.1016/j.physa.2005.06.070 – ident: e_1_2_8_34_2 doi: 10.1007/s11071-018-4312-0 – ident: e_1_2_8_13_2 doi: 10.1016/j.amc.2015.08.049 – volume-title: Table of Integrals, Series, and Products year: 2007 ident: e_1_2_8_63_2 contributor: fullname: Gradshteyn I. S. – ident: e_1_2_8_35_2 doi: 10.1016/j.jmps.2018.06.004 – ident: e_1_2_8_50_2 doi: 10.1155/2015/561901 – volume: 28 start-page: 1830005-1 year: 2015 ident: e_1_2_8_18_2 article-title: Chaotic motions in forced mixed Rayleigh-Liénard oscillator with external and parametric periodic excitations publication-title: International Journal of Bifurcation and Chaos contributor: fullname: Miwadinou C. H. – ident: e_1_2_8_30_2 doi: 10.1098/rsta.2014.0402 – ident: e_1_2_8_61_2 doi: 10.1155/2019/3687635 – ident: e_1_2_8_11_2 doi: 10.1016/0304-3800(92)90043-e – ident: e_1_2_8_25_2 doi: 10.1103/physreve.55.5134 – ident: e_1_2_8_37_2 doi: 10.1016/j.cnsns.2010.08.031 – ident: e_1_2_8_39_2 doi: 10.1016/j.jsv.2013.06.005 – ident: e_1_2_8_40_2 doi: 10.1016/j.ymssp.2016.02.037 – volume: 10 start-page: 48 year: 2020 ident: e_1_2_8_26_2 article-title: Nonlinear dynamics and active control in a Liénard-type oscillator under parametric and external excitations publication-title: American Journal of Computational and Applied Mathematics contributor: fullname: Kpomahou Y. J. F. – ident: e_1_2_8_60_2 doi: 10.1140/epjst/e2015-02480-1 – ident: e_1_2_8_4_2 doi: 10.1201/9781420035339 – ident: e_1_2_8_51_2 doi: 10.1007/s11431-019-1458-5 – ident: e_1_2_8_41_2 doi: 10.1155/2012/546364 – volume: 9 start-page: 413 year: 2016 ident: e_1_2_8_57_2 article-title: Global chaos control of the FitzHugh-Nagumo chaotic neuron model via integral sliding mode control publication-title: International Journal of PharmTech Research contributor: fullname: Vaidyanathan S. – ident: e_1_2_8_8_2 doi: 10.1016/j.crvi.2006.12.001 – volume-title: Nonlinear Ordinary Differential Equations year: 1990 ident: e_1_2_8_10_2 contributor: fullname: Grimshaw R. – ident: e_1_2_8_6_2 doi: 10.1134/s1560354714060021 – ident: e_1_2_8_20_2 doi: 10.2991/icmmbe-16.2016.56 – volume: 3 start-page: 16 year: 2015 ident: e_1_2_8_2_2 article-title: Hardening nonlinearity effects on forced vibration of viscoelastic dynamical systems to external step perturbation field publication-title: International Journal of Advances in Applied Mathematics and Mechanics contributor: fullname: Kpomahou Y. J. F. |
SSID | ssj0009637 |
Score | 2.324653 |
Snippet | In this paper, chaotic dynamics of a mixed Rayleigh–Liénard oscillator driven by parametric periodic damping and external excitations is investigated... |
SourceID | doaj proquest crossref hindawi |
SourceType | Open Website Aggregation Database Publisher |
SubjectTerms | Accuracy Algorithms Amplitudes Attraction Behavior Chaos theory Circuits Damping Dynamic stability Dynamical systems Eigenvalues Equilibrium Excitation Initial conditions Mathematical analysis Ordinary differential equations Oscillators Runge-Kutta method Stability analysis Vibration |
SummonAdditionalLinks | – databaseName: DOAJ Directory of Open Access Journals dbid: DOA link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwrV3LSsQwFA3iShfiE8cXWSjootg0jzZLdUYGcXQQBXclr-Is7IgdUXf-g1_hd_gnfok3bSqKCzcuCqUpSbj3JPeekJwgtA2QoY5mKoqF5BFLjYg01TYycVJIybQ0xB8UHpyJ_hU7uebX36768nvCGnngxnD7EGGlFdQazlNmidCJ5crSuKBEOIhv9exLeEumWrldUatlArcRUQKYbLe8c-7ZPtmHOEtiyX4Eo1qzH9LgG0-GH0e_Juc64hzPo7mQKuKDposLaMqVi2h28KWzWi2ihTA0K7wb9KP3ltDz0Y0aQznuNrfNV3hcYIUHoydn8QUwdL8a-vHyejp6fysBIPgcwiCgAdg37t772Q_rZzxUftuW1-_HQ0Dp2PoK1a0_XoVVaXEvyEfDiwk639UyujruXR71o3DDQmRYTCeRSjTLaBYL54AWakYIOIq7RPK0MIYmVllIoOLMCeGkNmB9STJLldVcmIxxuoKmy3HpVhGmWsSaSQePZqk2WqW-LlYkVhYFVR2005o6v2uENPKagHCee5fkwSUddOj98PWPl7-uPwAo8gCK_C9QdNB28OIfbW20Ls7D0K1yyAmBcolEkrX_6Mo6mvFNNqs2G2h6cv_gNiGPmeitGrKfNVztJA priority: 102 providerName: Directory of Open Access Journals – databaseName: ProQuest Central dbid: BENPR link: http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwhV3NbtQwELagvcAB0QJiaUE-FAkOVuPfxCdE260qxJZVRaXeIv-l3QNJ2WwFvfEOPAXPwZvwJMxkva0QEhwiRXHkWJnxzDdj-xtCdkBlZJKVY4WxmqkyGOaljywUorFWeRs4HhSeHJujU_XuTJ_lhFuft1WubOJgqGMXMEe-C64akLARlr-5_MywahSuruYSGnfJuuAKl2nX98bH05Nb2l0zsGZCjGOYAN1cbX3XGqN-vgv-lhdW_eGUBu5-gMMXGBR_mf1lpAfPc_iQPMiQkb5dyniD3EntJrk_ueFb7TfJRp6iPX2VeaRfPyLX-xeug3Z6sKw639OuoY5OZl9TpCcQqWNW9Ne37-9nP3-0oCj0A7hD0AqIwunBHK0g9dd06nD7FvL40yloaxexQ_cJj1lR10Y6zjTScBMy33f_mJwejj_uH7FcaYEFVcgFc8KrSlaFSQnCQ684B4HpJKwumxCkiC4CkCqqZEyyPnDjLa-idNFrEyql5ROy1nZtekqo9Kbwyia4vCp98K7EvlQjom0a6Ubk5epX15dLQo16CES0rlEkdRbJiOyhHG7eQRrs4UE3P6_zrKoBftloZAxalyrCsETULsqikdwkAD8jspOl-J9vba9EXOcp3Ne3Cvfs381b5B52tszLbJO1xfwqPQeksvAvsjr-Bo6S5qg priority: 102 providerName: ProQuest |
Title | Chaotic Dynamics of a Mixed Rayleigh–Liénard Oscillator Driven by Parametric Periodic Damping and External Excitations |
URI | https://dx.doi.org/10.1155/2021/6631094 https://www.proquest.com/docview/2508266291 https://doaj.org/article/6179d63dc5574d16b2d5ad30f316e078 |
Volume | 2021 |
hasFullText | 1 |
inHoldings | 1 |
isFullTextHit | |
isPrint | |
link | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwjV3LTttAFL0qdAOLqrxEWhrNgkp0YeHxPOxZFkiIqgaiqEjZWfOykgVOhVMBu_5Dv6Lf0T_pl_SOMwFRFu3Ckp9jy-eO7znjmTMAhxgyzLNCJ6lUIuG5lYlhxiU2zSqluFGWhoHCwws5uOKfJmISTZKa57_wMdsFeU6PMTFSVCJrsFYUwSJ_PJg8euvK1hoThYxMMgzAVf_2v659knlag37kvNOgfG9nz77EbXrpv4ZXkReSj0sgt-CFr7dhc_hgqtpsw1ashw05imbRH3bg_nSq53icnC2nlm_IvCKaDGd33pExyvHQ9Pn7-4_Ps18_a4wGcok5D6FHqU3ObsKnjph7MtKhj1Yw6ycjDMm5CwXq6zCWiujakV70isYVG029m1246ve-nA6SOJ1CYnnKFonODC9YkUrvUQMaTimiInymRF5ZyzKnHbKltPBSemUslUbRwjHtjJC24ILtwXo9r_0-EGZkarjyuBieG2t0HsriVeZUVTHdgferV11-XbpmlK3aEKIMkJQRkg6cBBwezgle1-0OxL-MVadEjqWcZM4KkXOHj5U5oR1LK0alR4bTgcOI4j_udbCCuIz1tCmRAKK-kpmib_6vlLewETaXjTAHsL64-ebfIS1ZmC6GZv-8Cy9PehejcbcV9902UP8Armbeeg |
link.rule.ids | 315,786,790,869,870,883,884,2115,4043,12792,21416,27954,27955,27956,33406,33777,43633,43838 |
linkProvider | Hindawi Publishing |
linkToHtml | http://utb.summon.serialssolutions.com/2.0.0/link/0/eLvHCXMwhV3NbtQwELagHIADaguoCwV8KBIcosbxT-ITgrbLArulQq3Um-W_0D2QlM2itjfegafgOXiTPgkzWW8rhASHSFEcOVHm8_xl_A0hWwAZHnlls1xpmYnSq8xxFzKfF7XWwmnPcKPwZF-NjsT7Y3mcEm5dKqtc6sReUYfWY458G0w1eMKq0OzV6dcMu0bh39XUQuMmuSW44ojzavj2mnRX9ZyZEOGorABkLgvfpcSYn22DtWW5Fn-YpJ65H5zhEwyJz6Z_qeje7gxXyb3kMNLXCwmvkRuxWSd3J1dsq906WUsLtKMvEov0y_vkYufEtjBOdxc95zva1tTSyfQ8BvoJ4nTMiV5-_zGe_vrZAEzoRzCGgAmIwenuDHUgdRf0wGLxFrL40wPAahtwQvsFN1lR2wS6l0ik4cQntu_uATka7h3ujLLUZyHzIufzzBZOVLzKVYwQHDrBGIhLxkLLsvaeF8EGcKPyKioVtfNMOc2qwG1wUvlKSP6QrDRtEzcI5U7lTugIhxOl886WOJeoi6DrmtsBeb781OZ0Qadh-jBESoMiMUkkA_IG5XB1D5Jg9xfa2WeT1pQB50sHxYOXshQBXqsI0gae15ypCK7PgGwlKf7nWZtLEZu0gDtzDbdH_x5-Rm6PDidjM363_-ExuYMTLzI0m2RlPvsWn4DPMndPe2D-Bprf6C8 |
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=Chaotic+Dynamics+of+a+Mixed+Rayleigh%E2%80%93Li%C3%A9nard+Oscillator+Driven+by+Parametric+Periodic+Damping+and+External+Excitations&rft.jtitle=Complexity+%28New+York%2C+N.Y.%29&rft.au=Kpomahou%2C+Y%C3%A9lom%C3%A8+Judica%C3%ABl+Fernando&rft.au=Hinvi%2C+Laurent+Amoussou&rft.au=Ad%C3%A9chinan%2C+Joseph+Ad%C3%A9biyi&rft.au=Miwadinou%2C+Cl%C3%A9ment+Hod%C3%A9v%C3%A8wan&rft.date=2021&rft.pub=Hindawi&rft.issn=1076-2787&rft.eissn=1099-0526&rft.volume=2021&rft_id=info:doi/10.1155%2F2021%2F6631094&rft.externalDocID=10_1155_2021_6631094 |
thumbnail_l | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/lc.gif&issn=1076-2787&client=summon |
thumbnail_m | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/mc.gif&issn=1076-2787&client=summon |
thumbnail_s | http://covers-cdn.summon.serialssolutions.com/index.aspx?isbn=/sc.gif&issn=1076-2787&client=summon |