TY - JOUR
T1 - Normal forms á la moser for aperiodically time-dependent hamiltonians in the vicinity of a hyperbolic equilibrium
AU - Fortunati, Alessandro
AU - Wiggins, Stephen R
PY - 2016/8/1
Y1 - 2016/8/1
N2 - The classical theorem of Moser, on the existence of a normal form in the neighbourhood of a hyperbolic equilibrium, is extended to a class of real-analytic Hamiltonians with aperiodically time-dependent perturbations. A stronger result is obtained in the case in which the perturbing function exhibits a time decay.
AB - The classical theorem of Moser, on the existence of a normal form in the neighbourhood of a hyperbolic equilibrium, is extended to a class of real-analytic Hamiltonians with aperiodically time-dependent perturbations. A stronger result is obtained in the case in which the perturbing function exhibits a time decay.
KW - Hamiltonian systems
KW - Moser normal form
KW - Aperiodic time dependence
UR - https://arxiv.org/abs/1503.05134v2
U2 - 10.3934/dcdss.2016044
DO - 10.3934/dcdss.2016044
M3 - Article (Academic Journal)
SN - 1937-1632
VL - 9
SP - 1109
EP - 1118
JO - Discrete and Continuous Dynamical Systems - Series S
JF - Discrete and Continuous Dynamical Systems - Series S
IS - 4
ER -