TY - JOUR
T1 - A Kolmogorov theorem for nearly integrable Poisson systems with asymptotically decaying time-dependent perturbation
AU - Fortunati, Alessandro
AU - Wiggins, Stephen
PY - 2015
Y1 - 2015
N2 - The aim of this paper is to prove the Kolmogorov theorem of persistence of Diophantine flows for nearly integrable Poisson systems associated to a real analytic Hamiltonian with aperiodic time dependence, provided that the perturbation is asymptotically vanishing. The paper is an extension of an analogous result by the same authors for canonical Hamiltonian systems; the flexibility of the Lie series method developed by A. Giorgilli et al. is profitably used in the present generalization.
AB - The aim of this paper is to prove the Kolmogorov theorem of persistence of Diophantine flows for nearly integrable Poisson systems associated to a real analytic Hamiltonian with aperiodic time dependence, provided that the perturbation is asymptotically vanishing. The paper is an extension of an analogous result by the same authors for canonical Hamiltonian systems; the flexibility of the Lie series method developed by A. Giorgilli et al. is profitably used in the present generalization.
U2 - 10.1134/S1560354715040061
DO - 10.1134/S1560354715040061
M3 - Article (Academic Journal)
SN - 1560-3547
VL - 20
SP - 476
EP - 485
JO - Regular and Chaotic Dynamics
JF - Regular and Chaotic Dynamics
IS - 4
ER -