A Kolmogorov theorem for nearly integrable Poisson systems with asymptotically decaying time-dependent perturbation

作者：Fortunati Alessandro^*; Wiggins Stephen

来源：Regular & Chaotic Dynamics, 2015, 20(4): 476-485.

DOI：10.1134/S1560354715040061

• Poisson systems
• Kolmogorov theorem
• aperiodic time dependence

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.

• 出版日期2015-7