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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