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中国物理学会期刊

分数阶共轭Chen混沌系统中的混沌及其电路实验仿真

CSTR: 32037.14.aps.58.2957

Chaos in the fractional-order conjugate Chen system and its circuit emulation

CSTR: 32037.14.aps.58.2957
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  • 研究了分数阶共轭Chen混沌系统的混沌行为, 给出了分数阶共轭Chen系统存在混沌吸引子的必要条件. 并设计了一种传递函数的新电路单元用来实现分数阶共轭Chen混沌系统, 利用Multisim2001电子工作平台进行了电路实验仿真. 数值模拟和电路实验仿真结果相符, 证实了分数阶共轭Chen系统确实存在混沌现象和所设计电路单元的有效性.

     

    This paper studies the chaotic behaviors of the fractional-order conjugate Chen system. The necessary condition for the existence of chaotic attractors in the fractional-order conjugate Chen chaotic system is obtained. Furthermore, a new circuit unit is proposed to realize the fractional-order chaotic system. The results between numerical emulation and circuit experimental simulation are in agreement with each other and prove that chaos actually exits in the fractional-order conjugate Chen system.

     

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