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On the phase change for perturbations of Hamiltonian systems (non-parametric case)

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posted on 16.03.2020, 16:01 authored by Anatoly NeishtadtAnatoly Neishtadt, Alexey Okunev
We consider perturbations of Hamiltonian systems with one degree of freedom such that the evolution leads to separatrix crossings. Such crossings are described by a parameter called the pseudo-phase. We prove a formula for the dependence of the pseudo-phase on the initial conditions.

Funding

Leverhulme Trust (Grant No. RPG-2018-143)

History

School

  • Science

Department

  • Mathematical Sciences

Published in

arXiv

Citation

NEISHTADT, A. and OKUNEV, A., 2020. On the phase change for perturbations of Hamiltonian systems (non-parametric case). arXiv: arXiv:2003.05828v1

Publisher

arXiv

Version

SMUR (Submitted Manuscript Under Review)

Publication date

2020-03-12

Language

en

Depositor

Alexey Okunev. Deposit date: 13 March 2020

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