Logistic映射多尺度熵分析

Multiscale entropy analysis of Logistic map

为Logistic映射的理论分析和保密通信应用提供理论支撑,结合Logistic映射系统特性随参数μ变化的关系,以及多尺度熵能够反映混沌系统远离平衡状态程度的特点,提出了一种运用多尺度熵分析Logistic映射非线性动力学特性的方法。从仿真结果得到,多尺度熵能够区分出Logistic混沌系统不同状态,并且能够作为量化Logistic映射非线性动力学行为的指标。

Considering the characteristic of Logistic chaos system varying with the parameterμ, and the feature that the multiscale entropy reflects the degree away from the equilibrium, a new method is proposed to estimate the characteristic of Logistic nonlinear system based on multiscale entropy. Numerical simulations prove that different states of Logistic chaos system can be distinguished based on multiscale entropy, and quantifiable nonlinear dynamical behavior index is obtained. This work provides a theoretical basis for understanding Logistic chaos analysis and chaos application of secret communication.