English

Smoothness of class $C^2$ of nonautonomous linearization without spectral conditions

Dynamical Systems 2021-07-15 v1 Classical Analysis and ODEs

Abstract

We prove that smoothness of nonautonomous linearization is of class C2.C^2. Our approach admits the existence of stable and unstable manifolds determined by a family of nonautonomous hyperbolicities. Moreover, our goal is reached without spectral conditions.

Keywords

Cite

@article{arxiv.2107.06745,
  title  = {Smoothness of class $C^2$ of nonautonomous linearization without spectral conditions},
  author = {Nestor Jara},
  journal= {arXiv preprint arXiv:2107.06745},
  year   = {2021}
}