Wavelet Phase Synchronization of Fractional-Order Chaotic Systems
CHEN Feng1, XIA Lei2, LI Chun-Guang3**
1School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054 2Xi'an Institute of Electromechanical Information Technology, Xi'an 710065 3 Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027
Wavelet Phase Synchronization of Fractional-Order Chaotic Systems
CHEN Feng1, XIA Lei2, LI Chun-Guang3**
1School of Electronic Engineering, University of Electronic Science and Technology of China, Chengdu 610054 2Xi'an Institute of Electromechanical Information Technology, Xi'an 710065 3 Department of Information Science and Electronic Engineering, Zhejiang University, Hangzhou 310027
摘要Nowadays, fractional-order systems are attracting more and more attention. There are several ways available for analyzing fractional-order systems, among which wavelet transform is an efficient method for analyzing system dynamics in both time and frequency domains. We investigate the wavelet phase synchronization employing wavelet transform to explore the phase synchronization behaviors of fractional-order chaotic oscillators. We analyze in detail the synchronization behaviors with changes to the coupling strength, the central frequency Ω0, and the time scale of the wavelet.
Abstract：Nowadays, fractional-order systems are attracting more and more attention. There are several ways available for analyzing fractional-order systems, among which wavelet transform is an efficient method for analyzing system dynamics in both time and frequency domains. We investigate the wavelet phase synchronization employing wavelet transform to explore the phase synchronization behaviors of fractional-order chaotic oscillators. We analyze in detail the synchronization behaviors with changes to the coupling strength, the central frequency Ω0, and the time scale of the wavelet.
2012, Vol. 29 
