Synchronization stability of three chaotic systems with linear coupling

Tianshou Zhou; Jinhu Lü; Guanrong Chen; Yun Tang

doi:10.1016/S0375-9601(02)00973-8

Author(s)

Tianshou Zhou
Jinhu Lü
Guanrong Chen
Yun Tang

Related Research Unit(s)

Department of Electrical Engineering

Detail(s)

Original language	English
Pages (from-to)	231-240
Journal / Publication	Physics Letters, Section A: General, Atomic and Solid State Physics
Volume	301
Issue number	3-4
Publication status	Published - 26 Aug 2002

Link(s)

DOI	DOI https://doi.org/10.1016/S0375-9601(02)00973-8 Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-0037179029&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(33fa97fe-557e-449c-84db-1cd22b108f4b).html

Abstract

This Letter introduces a new method - mode decomposition - for stability analysis of periodic orbits. Using this method, the stability of a periodic solution of an autonomous system, as well as the stability of synchronization within three chaotic systems with linear coupling, can be analyzed. As an example, a rigorous sufficient condition on the coupling coefficients for achieving chaos synchronization is obtained, for the case of three-coupled identical Lorenz systems. Numerical simulations are shown for demonstration. © 2002 Elsevier Science B.V. All rights reserved.

Citation Format(s)

[ RIS ] [ BibTeX ]

Synchronization stability of three chaotic systems with linear coupling. / Zhou, Tianshou; Lü, Jinhu; Chen, Guanrong et al.

In: Physics Letters, Section A: General, Atomic and Solid State Physics, Vol. 301, No. 3-4, 26.08.2002, p. 231-240.

Research output: Journal Publications and Reviews (RGC: 21, 22, 62) › 21_Publication in refereed journal › peer-review

Zhou, T, Lü, J, Chen, G & Tang, Y 2002, 'Synchronization stability of three chaotic systems with linear coupling', Physics Letters, Section A: General, Atomic and Solid State Physics, vol. 301, no. 3-4, pp. 231-240. https://doi.org/10.1016/S0375-9601(02)00973-8

Zhou, T., Lü, J., Chen, G., & Tang, Y. (2002). Synchronization stability of three chaotic systems with linear coupling. Physics Letters, Section A: General, Atomic and Solid State Physics, 301(3-4), 231-240. https://doi.org/10.1016/S0375-9601(02)00973-8

Zhou T, Lü J, Chen G, Tang Y. Synchronization stability of three chaotic systems with linear coupling. Physics Letters, Section A: General, Atomic and Solid State Physics. 2002 Aug 26;301(3-4):231-240. doi: 10.1016/S0375-9601(02)00973-8

Zhou, Tianshou ; Lü, Jinhu ; Chen, Guanrong et al. / Synchronization stability of three chaotic systems with linear coupling. In: Physics Letters, Section A: General, Atomic and Solid State Physics. 2002 ; Vol. 301, No. 3-4. pp. 231-240.