Generating 3-D multi-scroll chaotic attractors: A hysteresis series switching method

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• 作者：Lü ; Jinhu ; Han ; Fengling ; Yu ; Xinghuo ; Chen ; Guanrong
• 关键词：Chaos generation ; Multi-scroll chaotic attractor ; Hysteresis series ; Switching control
• 刊名：Automatica
• 出版年：2004
• 出版时间：October, 2004
• 年：2004
• 卷：40
• 期：10
• 页码：1677-1687
• 全文大小：1.41 M

文摘

This paper introduces a systematic method—a hysteresis series switching approach—for generating multi-scroll chaotic attractors from a three-dimensional linear autonomous system, including 1-D n-scroll, 2-D n×m-grid scroll, and 3-D n×m×l-grid scroll chaotic attractors. The chaos generation mechanism is studied by analyzing the system trajectories and the hysteresis switching dynamics of the controlled chaotic systems are explored. Moreover, a two-dimensional Poincaré return map is rigorously derived. This map and its maximum Lyapunov exponent are applied to verifying the chaotic behaviors of the generated 3-D multi-scroll chaotic attractors.