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

Alessandro Fortunati, Stephen Wiggins

Research output: Contribution to journalArticle (Academic Journal)peer-review

5 Citations (Scopus)

Abstract

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.
Original languageEnglish
Pages (from-to)476-485
Number of pages10
JournalRegular and Chaotic Dynamics
Volume20
Issue number4
DOIs
Publication statusPublished - 2015

Fingerprint

Dive into the research topics of 'A Kolmogorov theorem for nearly integrable Poisson systems with asymptotically decaying time-dependent perturbation'. Together they form a unique fingerprint.

Cite this