English

Heteroclinic Solutions in Singularly Perturbed Discontinuous Differential Equations

Dynamical Systems 2023-04-26 v2

Abstract

We derive Melnikov type conditions for the persistence of heteroclinic solutions in perturbed slowly varying discontinuous differential equations extending to these equations similar results for continuous differential equations.

Keywords

Cite

@article{arxiv.2302.12618,
  title  = {Heteroclinic Solutions in Singularly Perturbed Discontinuous Differential Equations},
  author = {Flaviano Battelli and Michal Fečkan and JinRong Wang},
  journal= {arXiv preprint arXiv:2302.12618},
  year   = {2023}
}
R2 v1 2026-06-28T08:48:47.097Z