English

Finite cyclicity of quadratic slow-fast Darboux systems with a two-saddle loop

Dynamical Systems 2013-07-17 v1

Abstract

We prove that the cyclicity of a quadratic slow-fast integrable system of Darboux type with a double heteroclinic loop is finite and uniformly bounded.

Cite

@article{arxiv.1307.4121,
  title  = {Finite cyclicity of quadratic slow-fast Darboux systems with a two-saddle loop},
  author = {Marcin Bobieński and Lubomir Gavrilov},
  journal= {arXiv preprint arXiv:1307.4121},
  year   = {2013}
}

Comments

13 figures, 15 pages