English

A generalization of Siegmund's normal forms theorem to systems with $\mu$-dichotomies

Dynamical Systems 2023-12-08 v1

Abstract

We establish a theorem concerning the normal forms by examining the newly presented concept of μ\mu-dichotomy. This work establishes the nonresonance condition based on the associated spectrum of this general nonautonomous hyperbolicity.

Keywords

Cite

@article{arxiv.2312.04544,
  title  = {A generalization of Siegmund's normal forms theorem to systems with $\mu$-dichotomies},
  author = {Álvaro Castañeda and Néstor Jara},
  journal= {arXiv preprint arXiv:2312.04544},
  year   = {2023}
}