On the phase change for perturbations of Hamiltonian systems (non-parametric case)
preprintposted 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.
Leverhulme Trust (Grant No. RPG-2018-143)
- Mathematical Sciences