Hybrid phase synchronization between identical and nonidentical three-dimensional chaotic systems using the active control method

S. Das; M. Srivastava; A. Y T Leung

doi:10.1007/s11071-013-0939-z

Author(s)

S. Das
M. Srivastava
A. Y T Leung

Detail(s)

Original language	English
Pages (from-to)	2261-2272
Journal / Publication	Nonlinear Dynamics
Volume	73
Issue number	4
Publication status	Published - Sept 2013

Link(s)

DOI	DOI https://doi.org/10.1007/s11071-013-0939-z Final Published version
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Link to Scopus	https://www.scopus.com/record/display.uri?eid=2-s2.0-84882454634&origin=recordpage
Permanent Link	https://scholars.cityu.edu.hk/en/publications/publication(6422027a-3590-4568-9049-7278558a2bd8).html

Abstract

In this article, the active control method is used to investigate the hybrid phase synchronization between two identical Rikitake and Windmi systems, and also between two nonidentical systems taking Rikitake as the driving system and Windmi system as the response system. Based on the Lyapunov stability theory, the sufficient conditions for achieving the hybrid phase synchronization of two chaotic systems are derived. The active control method is found to be very effective and convenient to achieve hybrid phase chaos synchronization of the identical and nonidentical chaotic systems. Numerical simulation results which are carried out using the Runge-Kutta method show its feasibility and effectiveness for the synchronization of dynamical chaotic systems. © 2013 Springer Science+Business Media Dordrecht.

Research Area(s)

Active control method, Chaos, Hybrid synchronization, Phase synchronization, Rikitake system, Windmi system

Citation Format(s)

[ RIS ] [ BibTeX ]

Hybrid phase synchronization between identical and nonidentical three-dimensional chaotic systems using the active control method. / Das, S.; Srivastava, M.; Leung, A. Y T.
In: Nonlinear Dynamics, Vol. 73, No. 4, 09.2013, p. 2261-2272.

Research output: Journal Publications and Reviews › RGC 21 - Publication in refereed journal › peer-review

Das, S, Srivastava, M & Leung, AYT 2013, 'Hybrid phase synchronization between identical and nonidentical three-dimensional chaotic systems using the active control method', Nonlinear Dynamics, vol. 73, no. 4, pp. 2261-2272. https://doi.org/10.1007/s11071-013-0939-z

Das, S., Srivastava, M., & Leung, A. Y. T. (2013). Hybrid phase synchronization between identical and nonidentical three-dimensional chaotic systems using the active control method. Nonlinear Dynamics, 73(4), 2261-2272. https://doi.org/10.1007/s11071-013-0939-z

Das S, Srivastava M, Leung AYT. Hybrid phase synchronization between identical and nonidentical three-dimensional chaotic systems using the active control method. Nonlinear Dynamics. 2013 Sept;73(4):2261-2272. doi: 10.1007/s11071-013-0939-z

Das, S. ; Srivastava, M. ; Leung, A. Y T. / Hybrid phase synchronization between identical and nonidentical three-dimensional chaotic systems using the active control method. In: Nonlinear Dynamics. 2013 ; Vol. 73, No. 4. pp. 2261-2272.