摘要
提出了一种在MATLAB环境下,对混沌动力系统进行分析的技术路线。根据系统的动力学方程,利用简单的鼠标操作,就可以建立Simulink环境下的仿真模型,设置系统仿真参数后便可进行仿真。根据仿真结果,可以画出系统的运动轨迹相图,同时,也可以利用Fourier变换得到运动的频谱图。由运动轨迹相图和运动频谱图可以判断系统是否存在混沌现象。以一个混沌电路系统为例,说明了技术路线的主要步骤及其有效性。
A new scheme using MATLAB to analyze chaotic system is proposed.According to the Dynamic equations of the system,the model of Simulink can be established only by manipulating computer mouse.Having set some necessary paremeters,the simulation of the motion of the system can be carried out.The outputs of simulation can be utilized to plot the phase portraits directly,and further more power spectra can be produced by employing fast Fourier transormation.Whether or not the system exists chaotic motion will be determined by the phase portraits and power spectra.One example from a electric circuit is used to demonstrate the main procedure of the scheme and its effectiveness.
出处
《机械设计与制造》
北大核心
2010年第7期73-75,共3页
Machinery Design & Manufacture
基金
国家自然科学基金资助项目(50675180)
