碰撞系统的全局分析方法

The cell mapping method of dynamical systems with impacts

基于胞映射的思想,针对碰撞系统的特点,提出了1种碰撞系统全局分析的方法.通过典型的谐和激励下单边约束的Duffing碰撞振子的应用分析,得到了系统的吸引子、吸引域、复杂的边界及边界上的不稳定集,证实了该方法的有效性.

Based on the cell mapping method and in view of the characteristics of non - smooth dynamical systems with impacts, a new cell mapping method is introduced to investigate the global character of vibro - impact systems. As an illustrative example, Duffing oscillator with one - side constraint is investigated. The numerical results show that coexistent attractors, domains of attraction and complicated boundary embedded with the unstable invariant set well demonstrate the validity of the presented method.