On change of slow variables at crossing the separatrices
Dynamical Systems
2023-06-12 v1
Abstract
We consider general (not necessarily Hamiltonian) perturbations of Hamiltonian systems with one degree of freedom near separatrices of the unperturbed system. We present asymptotic formulas for change of slow variables at evolution across separatrices.
Cite
@article{arxiv.2306.05765,
title = {On change of slow variables at crossing the separatrices},
author = {Anatoly Neishtadt},
journal= {arXiv preprint arXiv:2306.05765},
year = {2023}
}