Generating 3-D multi-scroll chaotic attractors: A hysteresis series switching method
2004; Elsevier BV; Volume: 40; Issue: 10 Linguagem: Inglês
10.1016/j.automatica.2004.06.001
ISSN1873-2836
AutoresJinhu Lü, Fengling Han, Xinghuo Yu, Guanrong Chen,
Tópico(s)Neural Networks Stability and Synchronization
ResumoThis 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.
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