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arxiv: 1501.00147 · v2 · pith:5R4AT24Unew · submitted 2014-12-31 · 🧮 math.CA

A topological equivalence result for a family of nonlinear difference systems having generalized exponential dichotomy

classification 🧮 math.CA
keywords dichotomyequivalenceexponentialtopologicaldifferencegeneralizedlinearobtain
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We obtain sufficient conditions ensuring the topological equivalence of two perturbed difference linear systems whose linear part has a property of generalized exponential dichotomy. When the exponential dichotomy is verified, we obtain a strongly and H\"older topological equivalence.

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