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Globally exponential hyperchaos (lag) synchronization in a family of modified hyperchaotic Rossler systems
Yan, Zhenya; Yu, Pei
2007-05-01
Source PublicationINTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS
ISSN0218-1274
Volume17Issue:5Pages:1759-1774
AbstractIn this paper, we consider a new family of modified hyperchaotic Rossler systems, recently studied by Nikolov and Clodong using proper nonlinear feedback controllers. Particular attention is given to (i) globally exponential lag synchronization ( GELS) for tau > 0; and (ii) globally exponential synchronization (GES) for tau = 0. As a representative example, one system of the family of modified hyperchaotic Rossler systems is particularly studied, and Lyapunov stability criteria for the GELS and GES are derived via eight families of proper nonlinear feedback controllers. Moreover, we also present some nonlinear feedback control laws for other modified hyperchaotic Rossler systems. Numerical simulations are used to illustrate the theoretical results.
Keywordmodified hyperchaotic Rossler system GES GELS feedback control lyapunov function
Language英语
WOS Research AreaMathematics ; Science & Technology - Other Topics
WOS SubjectMathematics, Interdisciplinary Applications ; Multidisciplinary Sciences
WOS IDWOS:000251388300019
PublisherWORLD SCIENTIFIC PUBL CO PTE LTD
Citation statistics
Cited Times:13[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/27917
Collection系统科学研究所
Affiliation1.Acad Mil Med Sci, Chinese Acad Sci, Inst Syst Sci, Beijing 100080, Peoples R China
2.Univ Western Ontario, Dept Appl Math, London, ON N6A 5B7, Canada
Recommended Citation
GB/T 7714
Yan, Zhenya,Yu, Pei. Globally exponential hyperchaos (lag) synchronization in a family of modified hyperchaotic Rossler systems[J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,2007,17(5):1759-1774.
APA Yan, Zhenya,&Yu, Pei.(2007).Globally exponential hyperchaos (lag) synchronization in a family of modified hyperchaotic Rossler systems.INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS,17(5),1759-1774.
MLA Yan, Zhenya,et al."Globally exponential hyperchaos (lag) synchronization in a family of modified hyperchaotic Rossler systems".INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS 17.5(2007):1759-1774.
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