no_param.pdf (1.06 MB)

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

Download (1.06 MB)
preprint
posted on 16.03.2020, 16:01 by Anatoly 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

Mr Alexey Okunev. Deposit date: 13 March 2020

Exports

Loughborough Publications

Categories

Exports