Polynomial and linearized normal forms for almost periodic differential systems

Weigu Li, Jaume Llibre, Hao Wu

Research output: Contribution to journalArticleResearchpeer-review

2 Citations (Scopus)

Abstract

For almost periodic differential systems x = εf (x,t, ε) with x ∈ C<sup>n</sup>, t ∈ R and ε > 0 small enough, we get a polynomial normal form in a neigh-1 borhood of a hyperbolic singular point of the system x = ε lim T→∞1/T ∫<sup>T</sup><inf>0</inf>f (x, t, 0) dt, if its eigenvalues are in the Poincaré domain. The normal form linearizes if the real part of the eigenvalues are non-resonant.
Original languageEnglish
Pages (from-to)345-360
JournalDiscrete and Continuous Dynamical Systems
Volume36
Issue number1
DOIs
Publication statusPublished - 1 Jan 2016

Keywords

  • Almost periodic differential systems
  • Averaging method
  • Linearization
  • Normal form

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