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 language | English |
|---|---|
| Pages (from-to) | 345-360 |
| Journal | Discrete and Continuous Dynamical Systems |
| Volume | 36 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 1 Jan 2016 |
Keywords
- Almost periodic differential systems
- Averaging method
- Linearization
- Normal form