一类直线倒立摆系统的分岔及混沌分析
Analysis of the bifurcation and chaos in a class of the linear inverted pendulum system
云南民族大学学报:自然科学版,2016,25(5):428-435

蒲新会 PXH

摘要


分析了一个四维倒立摆系统的对称性、不变性、混沌吸引子存在性及平衡点稳定性.基于数值仿真得到的系统分岔图、Lyapunov指数谱、庞加莱截面和相图,分析了系统在参数变化时的动力学特性,发现系统在随着参数值的变化会发生倍周期分岔和混沌. The symmetry and invariance of a four-dimensional inverted pendulum system,the existence of chaotic attractors and the stability of equilibrium of this system are studied in this paper.The nonlinear dynamic characteristic of the system is discussed with the changes of different parameters based on the obtained numerical simulation bifurcation diagram,the Lyapunov exponent spectrum,Poincaré maps and phase diagram; meanwhile,the doubling bifurcation and chaos are found with the changes of different values of the parameters.

参考



全文: PDF      下载: 230      浏览: 129


counter for myspace
云南民族大学学报(自然科学版) 1991—2016 Copyright
地址:云南省昆明市一二.一大街134号 邮编:650031 全国邮发代号:64-47
电话:0871-65132114 传真:0871-65137493 Email:ynmzxyxb@163.com