Filippov系统中滑动现象引起的混沌
Chaos induced by sliding phenomena in Filippov systems
摘要：
在本文中，我们提供了一个完整的拓扑和遍历描述Filippov系统附近的滑动Shilnikov轨道的动力学。更具体地说，我们证明了第一个返回地图，定义在这个轨道附近，是拓扑共轭的Bernoulli移位与无限拓扑熵。特别地，我们看到，对于每个自然数m，它有无穷多个周期为m的周期点。
英文摘要：
In this paper we provide a full topological and ergodic description of the dynamics of Filippov systems nearby a sliding Shilnikov orbit. More specifically we prove that the first return map, defined nearby this orbit, is topologically conjugate to a Bernoulli shift with infinite topological entropy. In particular, we see that for each natural number m it has infinitely many periodic points with period m.
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