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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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摘要 扩大未击中货车 der Pol 振荡器的动态行为详细数字地被调查。在象分叉图和 Poincar é地图那样的一些数字模拟工具的帮助下,到混乱和奇怪的引起注意的人的各种各样的形状的不同线路被观察。为了描绘这个振荡器系统, Lyapunov 代表的光谱和 Lyapunov 尺寸的混乱行为,也被采用。 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.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 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
关键词 奇怪吸引子 振荡器 波尔 LYAPUNOV 倍周期 瀑布 数值模拟 动态行为 extended Duffing-Van der Pol oscillator, bifurcation, chaos
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