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

Author(s)
Leung, Andrew Yee Tak  
Author(s)
Das, S.
Srivastava, M.
Date Issued
2013
Publisher
Springer
Journal
Nonlinear Dynamics
Volume
73
Start page
2261
End page
2272
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.
URI
https://repository.sfu.edu.hk/handle/sfu/2332
DOI
10.1007/s11071-013-0939-z
SFU Affiliated Publication
No
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