基于符号相对熵的Logistic混沌系统时间不可逆性分析

Time Irreversibility Analysis of Logistic Chaos System Based on Symbolic Relative Entropy

该文结合Logistic混沌系统特性随参数m变化的关系,以及相对熵能够反映系统远离平衡状态程度的特点,提出一种基于符号相对熵估计Logistic混沌系统特性的新方法。从仿真结果得到,Logistic混沌系统存在时间不可逆性,并随着参数m的增大而逐渐增强,与初值0x无关,经分析推理得到一种新的可量化的非线性动力学行为指标,为深入了解Logistic混沌特性和混沌控制提供理论依据。

Considering that the characteristic of Logistic chaos system varies in the relationship of the parameter m , and the feature of that the relative entropy reflects the lack of equilibrium, this paper proposes a new method to estimate the characteristic of Logistic chaos system based on symbolic relative entropy. Numerical simulations prove that, Logistic chaos system possesses the property of time irreversibility which increases with parameter m and is irrelevant with initial value x 0 . Accordingly, a novel quantifiable nonlinear dynamical behavior index is obtained, which provides the theoretical basis for understanding Logistic chaos characteristic and chaos control