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On the phase change for perturbations of Hamiltonian systems (non-parametric case)
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
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arXivCitation
NEISHTADT, A. and OKUNEV, A., 2020. On the phase change for perturbations of Hamiltonian systems (non-parametric case). arXiv: arXiv:2003.05828v1Publisher
arXivVersion
- SMUR (Submitted Manuscript Under Review)
Publication date
2020-03-12Publisher version
Language
- en
Depositor
Alexey Okunev. Deposit date: 13 March 2020Usage metrics
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