Title: Chaos excited chaos synchronizations of integral and fractional order generalized van der Pol systems
Authors: Ge, Zheng-Ming
Hsu, Mao-Yuan
Department of Mechanical Engineering
Issue Date: 1-May-2008
Abstract: In this paper, chaos excited chaos synchronizations of generalized van der Pol systems with integral and fractional order are studied. Synchronizations of two identified autonomous generalized van der Pot chaotic systems are obtained by replacing their corresponding exciting terms by the same function of chaotic states of a third nonautonomous or autonomous generalized van der Pot system. Numerical simulations, such as phase portraits, Poincare maps and state error plots are given. It is found that chaos excited chaos synchronizations exist for the fractional order systems with the total fractional order both less than and more than the number of the states of the integer order generalized van der Pot system. (c) 2006 Elsevier Ltd. All rights reserved.
URI: http://dx.doi.org/10.1016/j.chaos.2006.06.093
ISSN: 0960-0779
DOI: 10.1016/j.chaos.2006.06.093
Volume: 36
Issue: 3
Begin Page: 592
End Page: 604
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