摘要
研究了同时含有平方项和高次幂项的Van der Pol-Duffing系统的混沌行为及混沌控制问题,数值仿真分析了该系统存在的典型非线性动力学行为.主要采用单初始点分岔分析方法、最大Lyapunov指数和Poincare映射方法,从不同侧面揭示了在周期激振力作用下系统的周期运动、混沌运动,以及运动形式的演化过程,并用x|x|控制方法实现了系统的混沌抑制问题.
The chaotic behavior and chaotic control of Van der Pol-Duffing system with square term and high power term are studied.The typical nonlinear dynamic behavior of the system is analyzed by numerical simulation.The periodic motion,the chaotic motion and the evolution process of the motion form of the system under periodic excitation force are revealed from different aspects by using single initial point bifurcation analysis method,maximum Lyapunov exponent and Poincare mapping method.The chaotic suppression problem of the system is realized by using the x|x|control method.
作者
张莉
彭建奎
ZHANG Li;PENG Jian-kui(Basic Courses Department,Lanzhou Institute of Technology,Lanzhou 730050,China;School of Education,Lanzhou University of Arts and Science,Lanzhou 730000,China)
出处
《兰州文理学院学报（自然科学版）》
2019年第1期1-5,共5页
Journal of Lanzhou University of Arts and Science(Natural Sciences)
基金
甘肃省自然科学基金项目(17JR5RA096)
兰州工业学院青年科技创新项目(17K-016)
