Dynamical Systems Seminar
主講者: | 呂明杰博士 (台灣大學數學系) |
講題: | A simple proof for persistence of snap-back repellers |
時間: | 2013-03-29 (Fri.) 15:00 - 16:30 |
地點: | 數學所 609 研討室 (台大院區) |
Abstract: | In 1978, Marotto introduced the concept of snap-back repeller and applied it to study chaos for higher dimensional discrete dynamical systems. He proved that if a differentiable map has a snap-back repeller then it exhibits the sense of Li-Yorke chaos. In this talk, we show that the snap-back repeller will persist under any small $C^{1}$ perturbation and hence has Li-Yorke chaos and positive topological entropy, by using the implicit function theorem. |
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