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.
|Journal||Discrete and Continuous Dynamical Systems|
|Publication status||Published - 1 Jan 2016|
- Almost periodic differential systems
- Averaging method
- Normal form