一个类Lorenz系统的非线性分析

Nonlinear analysis of a Lorenz-like system

研究了1个类Lorenz系统的非线性动力学.更精确地研究了1个四参数二次混沌系统的稳定性和分岔.通过Lyapunov指数、Poincare截面图和Lyapunov维数研究了系统的动力学特性,结果显示该系统拥有丰富的动力学行为.

This paper focuses on the study of the nonlinear dynamics of a Lorez - like system and gives a more precise analysis of the stability and bifurcations of a four parameter quadratic chaotic system. It uses the Lyapunov exponent, Poincare section and Lyapunov dimension to study the dynamics of the system, and the results show that the chaotic system has abundant dynamical behaviors.