阶次不等的分数阶混沌系统同步

物理学报

阶次不等的分数阶混沌系统同步

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胡建兵, 肖建, 赵灵冬. 2011: 阶次不等的分数阶混沌系统同步, 物理学报, 60(11): 173-176.

引用本文:

胡建兵, 肖建, 赵灵冬. 2011: 阶次不等的分数阶混沌系统同步, 物理学报, 60(11): 173-176.

2011: Synchronizing fractional chaotic systems with different orders, Acta Physica Sinica, 60(11): 173-176.

Citation:

2011: Synchronizing fractional chaotic systems with different orders, Acta Physica Sinica, 60(11): 173-176.

Synchronizing fractional chaotic systems with different orders

摘要: 针对阶次不等的分数阶混沌系统同步问题,提出了一种将不等阶分数阶系统转化为等阶系统的方法,将不等阶分数阶系统的同步问题转化为等阶的异结构同步问题.利用该方法实现了阶次不等的分数阶Lorenz混沌系统的同步,数值仿真结果验证了该理论的正确性.
- 不等阶 /
- 分数阶混沌系统 /
- 同步 /
- 异结构
Abstract: To synchronize fractional chaotic systems with different orders,a method is proposed in which a fractional chaotic system with different orders is changed into a fractional chaotic system with the same order but different structures,according to the properties of fractional differential equation.This method is successfully used to synchronize fractional Lorenz chaotic systems.Numerical simulation demonstrates the effectiveness of the method.