On the phase change for perturbations of Hamiltonian systems (non-parametric case)
preprintposted on 16.03.2020, 16:01 by Anatoly NeishtadtAnatoly Neishtadt, Alexey OkunevAlexey 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