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.

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Bibliographic Details
Main Authors: Anatoly Neishtadt, Alexey Okunev
Format: Default Preprint
Published: 2020
Subjects:
Online Access:https://hdl.handle.net/2134/11982339.v1
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