English

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

Classical Analysis and ODEs 2015-08-31 v2

Abstract

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.

Keywords

Cite

@article{arxiv.1501.00147,
  title  = {A topological equivalence result for a family of nonlinear difference systems having generalized exponential dichotomy},
  author = {Alvaro Castañeda and Gonzalo Robledo},
  journal= {arXiv preprint arXiv:1501.00147},
  year   = {2015}
}