Dynamical Systems Seminar
主講者: | Professor Kenneth J. Palmer (National Taiwan University) |
講題: | A Finite-Time Condition for Exponential Dichotomy |
時間: | 2010-08-20 (Fri.) 14:30 - 15:30 |
地點: | 數學所 722 研討室 (台大院區) |
Abstract: | We prove that if a difference equation on $Z$ has an exponential dichotomy on sufficiently many intervals of sufficiently large fixed length and with uniform constants and exponents, then it has an exponential dichotomy on $Z$. The result is applied to slowly varying systems, almost periodic systems, a perturbation theorem, shadowing, transversality of homoclinic orbits of a diffeomorphism and hyperbolicity of a compact invariant set of a diffeomorphism. |
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