Special dynamic behaviors of a temporal chaotic system
Mingxuan Zhang, Jinjiang Yu, Wangqiang Han
Abstract
Mingxuan Zhang, Jinjiang Yu, Wangqiang Han
Abstract
When dynamic behaviors of temporal chaotic system are analyzed, we find that a temporal chaotic system has not only generic dynamic behaviors of chaotic reflection, but also has phenomena influencing two chaotic attractors by original values. Along with the system parameters changing to certain value, the system will appear a break in chaotic region, and jump to another orbit of attractors. When it is opposite that the system parameters change direction, the temporal chaotic system appears complicated chaotic behaviors.
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When dynamic behaviors of temporal chaotic system are analyzed, we find that a temporal chaotic system has not only generic dynamic behaviors of chaotic reflection, but also has phenomena influencing two chaotic attractors by original values. Along with the system parameters changing to certain value, the system will appear a break in chaotic region, and jump to another orbit of attractors. When it is opposite that the system parameters change direction, the temporal chaotic system appears complicated chaotic behaviors.
Key concepts: Chaotic, Attractor, Chaotic hysteresis, Jump, Statistical physics, Crisis, Mathematics, Orbit (dynamics)