摘要
通过理论分析和数值计算,讨论了一类碰撞振动系统的Lyapunov指数谱计算方法,利用数值仿真分析了该系统的Lyapunov指数谱随参数大范围的变化规律。将系统的Lyapunov指数谱图与系统全局分叉图进行分析比较,验证了利用Lyapunov指数谱图分析系统稳定性方法的正确性与可行性。
Calculation method of Lyapunov exponential spectrum on a vibro-impact system is discussed by theoretical analysis and numerical calculation in this paper. The global parameters-varying rules of the Lyapunov exponential spectrum on this system are analyzed by numerical simulations. In order to show the feasibility of this method for large parameters range,the paper calculates Lyapunov exponents to classify attractors observed in bifurcation diagrams.
出处
《承德石油高等专科学校学报》
CAS
2007年第2期38-41,共4页
Journal of Chengde Petroleum College
