一种新混沌系统的动力学行为及符号序列排序规则

Dynamical Behavior and Ordering Rules of Symbolic Sequences in a New Chaotic System

研究在Liu系统的基础上构造而成的混沌动力学系统,经适当选取参数值,其相应的受控系统在Poincaré截面上展现丰富的动力学行为。对该受控系统进行符号动力学分析发现,可建立四字母的符号动力学,且其符号序列排序规则与Lorenz系统的一致。

A new chaotic system is proposed based on the so-called Liu system. The rich dynamical behaviors can be found in the Poincare surface of section for the corresponding controlled system via appropriately choosing the values of the parameters. After executing symbolic dynamical analysis for this new system,one can find that the 4-letter symbolic dynamics may be constructed,and that the ordering rules of symbolic sequences in this system and the Lorenz equations are the same.