摘要
对一类带有粘性阻尼摆参数振动系统复杂动力学行为进行研究.根据系统运动拉格朗日程和牛顿第二定律,建立了系统动力学程,借助Poincaré截面和分岔图研究了系统混沌行为,通过数值仿真其相图、Poincaré映射图、分岔图和Lyapunov指数谱,进而证明了该模型是混沌数学模型;对该系统弹簧振刚度增加,可致该系统产生新混沌区域.
According to Lagrange equation of the dynamic motion and Newton＇s second law, the paper makes a study on the complex dynamic behavior of a kind of autoparametric vibration system with a viscous damping pendulum and thus establishes the kinetic equation of the system. With the help of the Poincaré sections and the bifurcation diagram, the paper has studied the chaotic behavior of the system, and then obtained its phase diagram, Poincaré map, bifurcation diagram and Lyapunov exponent spectrum by numerical simulation, and thus proved that the model is a chaotic mathematical one. And the increase of the spring oscillator stiffness of the system will cause the system to produce a new chaotic region
出处
《温州大学学报（自然科学版）》
2012年第6期19-24,共6页
Journal of Wenzhou University(Natural Science Edition)
基金
甘肃省自然科学基金(1010RJZA066
1010RJZA067)
