Period-Doubling Cascades and Strange Attractors in Extended Duffing-Van der Pol Oscillator  

Period-Doubling Cascades and Strange Attractors in Extended Duffing-Van der Pol Oscillator

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作  者:YU Jun PAN Wei-Zhen ZHANG Rong-Bo 

机构地区:[1]Institute of Nonlinear Science, Shaoxing University, Shaoxing 312000, China

出  处:《Communications in Theoretical Physics》2009年第5期865-868,共4页理论物理通讯(英文版)

基  金:supported by the National Natural Science Foundation of China under Grant No.10875078;the Natural Science Foundation of Zhejiang Province of China under Grant No.Y7080455

摘  要:The dynamical behavior of the extended Duffing-Van der Pol oscillator is investigated numerically in detail. With the aid of some numerical simulation tools such as bifurcation diagrams and Poinearé maps, the different routes to chaos and various shapes of strange attractors are observed. To characterize chaotic behavior of this oscillator system, the spectrum of Lyapunov exponent and Lyapunov dimension are also employed.

关 键 词:extended Duffing-Van der Pol oscillator BIFURCATION CHAOS 

分 类 号:O415.5[理学—理论物理] TN752[理学—物理]

 

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