基于Lorenz衍生的混沌系统参数调节自适应同步

Adaptive Synchronization of Parameter Adjustment Based on Lorenz Derivative Chaotic System

通过结合Lorenz经典系统特征及原理、系统复杂的动力学,衍生出一类新的拓展系统.对该系统在不同参数下复杂的动力学现象进行分析,采用罗斯—霍维兹判别方法验证其正确性和可操作性,采用4阶龙格—库塔方法进行迭代计算,对主从系统的混沌同步进行计算机仿真模拟,实现对该系统混沌现象和参数调节自适应同步的研究.

By analyzing the characteristics and classical theory and combing with the complex dynamics of the system,a new system is derived from the expansion of the classical system.This paper analyzes the dynamical phenomena about this new system with different parameters,using the Routh-Hurwitz method to prove the correctness and the operability and the fourth-order Runge-Kutta method to solve the iteration,and then,using computer simulation to realize the chaotic synchronization of the main and deputy system.This paper finishes the phenomena of chaos and adaptive synchronization with different parameters about this new system.