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

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

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

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

35 Citations (Scopus)

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.

Original language	English
Pages (from-to)	2261-2272
Journal	Nonlinear Dynamics
Volume	73
Issue number	4
DOIs	https://doi.org/10.1007/s11071-013-0939-z
Publication status	Published - Sept 2013

Research Keywords

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

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10.1007/s11071-013-0939-z

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

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. {\textcopyright} 2013 Springer Science+Business Media Dordrecht.",

keywords = "Active control method, Chaos, Hybrid synchronization, Phase synchronization, Rikitake system, Windmi system",

author = "S. Das and M. Srivastava and Leung, {A. Y T}",

year = "2013",

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doi = "10.1007/s11071-013-0939-z",

language = "English",

volume = "73",

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journal = "Nonlinear Dynamics",

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TY - JOUR

T1 - Hybrid phase synchronization between identical and nonidentical three-dimensional chaotic systems using the active control method

AU - Das, S.

AU - Srivastava, M.

AU - Leung, A. Y T

PY - 2013/9

Y1 - 2013/9

N2 - 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.

AB - 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.

KW - Active control method

KW - Chaos

KW - Hybrid synchronization

KW - Phase synchronization

KW - Rikitake system

KW - Windmi system

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U2 - 10.1007/s11071-013-0939-z

DO - 10.1007/s11071-013-0939-z

M3 - RGC 21 - Publication in refereed journal

SN - 0924-090X

VL - 73

SP - 2261

EP - 2272

JO - Nonlinear Dynamics

JF - Nonlinear Dynamics

IS - 4

ER -

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

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Research Keywords

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