地磁场发电机Rossler模型的混沌分析与数值仿真

Chaos Analysis and Numerical Simulation of Geomagnetic Field Generator Rossler Model

本文根据混沌理论分析方法,讨论了地磁场发电机Rossler模型的产生混沌现象的参数值,并据此进行数值仿真。讨论了Rossler模型的耗散性以及吸引子的存在性;系统的平衡点及其在给定参数值下的局部稳定性;利用MATLAB进行数值仿真作图,从分岔图、最大Lyapnov指数图、吸引子图等各个指标说明结论的正确性。

In this paper, the parameter values of Rossler model for geomagnetic field generator are discussed and numerical simulation is carried out. The dissipation of Rossler model and the existence of attractors are discussed. The equilibrium point of the system and its local stability under the given parameter value;MATLAB numerical simulation is used to illustrate the correctness of the conclusion from the bifurcation diagram, maximum Lyapnov index diagram, attractor diagram and other indicators.