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

2014/12/31 by Álvaro Castañeda, Castañeda, Alvaro, Gonzalo Robledo +1
Biochemistry, Genetics and Molecular Biology · Computer Science · Mathematics · #39A06 #39A12 #Advanced Differential Equations and Dynamical Systems #Classical Analysis and ODEs (math.CA) #FOS: Mathematics #Gene Regulatory Network Analysis #Nonlinear Dynamics and Pattern Formation

paper · pdf · doi:10.48550/arxiv.1501.00147

openalex publication_date 2014/12/31 · openalex created_date 2022/10/03 · openalex updated_date 2026/07/28

Abstract

We obtain sufficient conditions ensuring the topological equivalence of two\nperturbed difference linear systems whose linear part has a property of\ngeneralized exponential dichotomy. When the exponential dichotomy is verified,\nwe obtain a strongly and H "older topological equivalence.\n

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