dc.contributor.author | Lai, Qiang | |
dc.contributor.author | Akgül, Akif | |
dc.contributor.author | Varan, Metin | |
dc.contributor.author | Kengne, Jacques | |
dc.contributor.author | Ergüzel, Alper Turan | |
dc.date.accessioned | 2022-02-09T12:29:23Z | |
dc.date.available | 2022-02-09T12:29:23Z | |
dc.date.issued | 2018 | |
dc.identifier.issn | 0577-9073 | |
dc.identifier.uri | https://doi.org/10.1016/j.cjph.2018.09.015 | |
dc.identifier.uri | https://hdl.handle.net/20.500.14002/218 | |
dc.description.abstract | This paper reports a new four-dimensional chaotic system consisting of an exponential nonlinear term, two quadratic nonlinear terms and five linear terms. The system has only one equilibrium and performs stability, periodicity and chaos with the variation of the parameters. It losses its stability with the occurrence of Hopf bifurcation and goes into chaos via period-doubling bifurcation. One more interesting feature of the system is that it can generate multiple coexisting attractors for different initial conditions, such as two strange attractors with one limit cycle, one strange attractor with two limit cycles, etc. The dynamic properties of the system are presented by numerical simulation includes bifurcation diagrams, Lyapunov exponent spectrum and phase portraits. An electronic circuit is constructed to implement the chaotic attractor of the system. Based on the linear quadratic regulator (LQR) method, the synchronization control of the system is investigated. | en_US |
dc.description.sponsorship | National Natural Science Foundation of ChinaNational Natural Science Foundation of China (NSFC) [61603137]; Jiangxi Natural Science Foundation of ChinaNatural Science Foundation of Jiangxi Province [20171BAB212016]; Key Research and Development Program of Jiangxi Province of China [20181BBE50017] | en_US |
dc.description.sponsorship | This work was supported by the National Natural Science Foundation of China under Grant 61603137, the Jiangxi Natural Science Foundation of China under Grant 20171BAB212016, and the Key Research and Development Program of Jiangxi Province of China under Grant 20181BBE50017. | en_US |
dc.language.iso | eng | en_US |
dc.publisher | Elsevier Science Bv | en_US |
dc.relation.ispartof | Chinese Journal of Physics | en_US |
dc.rights | info:eu-repo/semantics/closedAccess | en_US |
dc.subject | Chaotic system | en_US |
dc.subject | Coexisting attractors | en_US |
dc.subject | Exponential term | en_US |
dc.subject | Synchronization control | en_US |
dc.subject | Bifurcation diagram | en_US |
dc.subject | Linear-Quadratic Regulator | en_US |
dc.subject | Circuit Implementation | en_US |
dc.title | Dynamic analysis and synchronization control of an unusual chaotic system with exponential term and coexisting attractors | en_US |
dc.type | article | en_US |
dc.authorid | AKGUL, Akif / 0000-0001-9151-3052 | |
dc.department | Fakülteler, Teknoloji Fakültesi, Elektrik ve Elektronik Mühendisliği Bölümü | en_US |
dc.identifier.doi | 10.1016/j.cjph.2018.09.015 | |
dc.identifier.volume | 56 | en_US |
dc.identifier.issue | 6 | en_US |
dc.identifier.startpage | 2837 | en_US |
dc.identifier.endpage | 2851 | en_US |
dc.relation.publicationcategory | Makale - Uluslararası Hakemli Dergi - Kurum Öğretim Elemanı | en_US |
dc.authorwosid | Lai, Qiang/S-5391-2019 | |
dc.authorwosid | AKGUL, Akif/A-2225-2016 | |
dc.authorscopusid | 56532339200 | |
dc.authorscopusid | 43261096500 | |
dc.authorscopusid | 48661591200 | |
dc.authorscopusid | 35107481300 | |
dc.authorscopusid | 57204099719 | |
dc.identifier.wos | WOS:000452305200021 | en_US |
dc.identifier.scopus | 2-s2.0-85054458085 | en_US |