基于降阶方法的分数阶多涡卷混沌系统的同步控制

doi:10.6040/j.issn.1672-3961.0.2017.614

摘要/Abstract

摘要：

基于降阶方法研究整数阶分数阶多涡卷混沌系统的同步问题,将三阶分数阶多涡卷混沌系统转化为一阶系统,利用分数阶微积分给出了驱动-响应系统取得混沌同步的充分条件,给出严格的数学证明和推理过程,仿真例子验证了方法的有效性。

Abstract:

The problem of synchronization control of intergal-order and fractional-order multi-scroll chaotic systems were studied based on reduced-order method. Third fractional-order multi-scroll system was transferred into a first-order system. The chaotic synchronization sufficient conditions were arrived for the drive-response systems of fractional-order multi-scroll system which acquired synchronization using fractional-order Lyapunov. The strict proof in mathematics was given out, and the simulations examples demonstrated the efficient of the proposed method.

Key words: fractional-order, multi-scroll systems, reduced-order, synchronization

中图分类号:

O482.4

王春彦, 邸金红. 基于降阶方法的分数阶多涡卷混沌系统的同步控制[J]. 山东大学学报 (工学版), 2018, 48(5): 91-94.

Chunyan WANG, Jinhong DI. Synchronization control of fractional-order multi-scroll chaotic system based on reduced-order method[J]. Journal of Shandong University(Engineering Science), 2018, 48(5): 91-94.

图/表 2

图1

图2

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