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This article is cited in 7 scientific papers (total in 7 papers)
A Kolmogorov Theorem for Nearly Integrable Poisson Systems with Asymptotically Decaying Time-dependent Perturbation
Alessandro Fortunati, Stephen Wiggins School of Mathematics, University of Bristol,
Bristol BS8 1TW, United Kingdom
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.
Keywords:
Poisson systems, Kolmogorov theorem, aperiodic time dependence.
Received: 24.02.2015
Citation:
Alessandro Fortunati, Stephen Wiggins, “A Kolmogorov Theorem for Nearly Integrable Poisson Systems with Asymptotically Decaying Time-dependent Perturbation”, Regul. Chaotic Dyn., 20:4 (2015), 476–485
Linking options:
https://www.mathnet.ru/eng/rcd27 https://www.mathnet.ru/eng/rcd/v20/i4/p476
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