English

Pseudo-Abelian integrals on slow-fast Darboux systems

Dynamical Systems 2010-07-14 v1

Abstract

We study pseudo-Abelian integrals associated with polynomial deformations of slow-fast Darboux integrable systems. Under some assumptions we prove local boundedness of the number of their zeros.

Keywords

Cite

@article{arxiv.1007.2001,
  title  = {Pseudo-Abelian integrals on slow-fast Darboux systems},
  author = {Marcin Bobienski and Pavao Mardesic and Dmitry Novikov},
  journal= {arXiv preprint arXiv:1007.2001},
  year   = {2010}
}

Comments

11 pages, 6 figures

R2 v1 2026-06-21T15:47:18.566Z