arXiv:2003.05828 Abstract | arXiv Analytics

arXiv:2003.05828 [math.DS]Abstract References Reviews Resources

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

Published 2020-03-12Version 1

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.

Comments: 16 pages, 1 figure

Categories: math.DS

Subjects: 34C29

Keywords: hamiltonian systems, non-parametric case, phase change, perturbations, separatrix crossings

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