SYMMETRY OF ATTRACTORS AND ROUTES TO CHAOS IN A VIBRO-IMPACT SYSTEM WITH TWO-SIDED CONSTRAINTS

• 作 者: Y.Yue;J.H.Xie;
• 机 构: Department of Applied Mechanics and Engineering,Southwest Jiaotong University,Chengdu,610031,China
• 出 处: The Third International Conference on Dynamics,Vibration and
• 发表日期: 2004年期

　　Vibro-impact systems with two-sided rigid constraints can exhibit special dynamical behaviour.The chaotic motion of the LR model induced by the period-doubling bifurcation was investigated by use of phase planes and the Poincaré mapping sections in reference [1].In reference [2].A single-degree-of-freedom impact oscillator having two-sided amplitude constraints is considered.The digital simulations indicated that when the stable and unstable manifolds intersect, a complicated invariant set.a smale horseshoe exists.In reference [3].an inverted pendulum with symmetric rigid barriers is considered, the global bifurcation which result in the creation of horseshoes is studied.