TY - JOUR
T1 - Polynomial and linearized normal forms for almost periodic differential systems
AU - Li, Weigu
AU - Llibre, Jaume
AU - Wu, Hao
PY - 2016/1/1
Y1 - 2016/1/1
N2 - For almost periodic differential systems x = εf (x,t, ε) with x ∈ Cn, 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 ∫T0f (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.
AB - For almost periodic differential systems x = εf (x,t, ε) with x ∈ Cn, 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 ∫T0f (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.
KW - Almost periodic differential systems
KW - Averaging method
KW - Linearization
KW - Normal form
UR - https://www.scopus.com/pages/publications/84942292170
U2 - 10.3934/dcds.2016.36.345
DO - 10.3934/dcds.2016.36.345
M3 - Article
SN - 1078-0947
VL - 36
SP - 345
EP - 360
JO - Discrete and Continuous Dynamical Systems
JF - Discrete and Continuous Dynamical Systems
IS - 1
ER -