English

The number of medium amplitude limit cycles of some generalized Li\'enard systems

Dynamical Systems 2012-08-31 v2 Classical Analysis and ODEs

Abstract

We will consider two special families of polynomial perturbations of the linear center. For the resulting perturbed systems, which are generalized Li\'enard systems, we provide the exact upper bound for the number of limit cycles that bifurcate from the periodic orbits of the linear center.

Keywords

Cite

@article{arxiv.1208.2621,
  title  = {The number of medium amplitude limit cycles of some generalized Li\'enard systems},
  author = {Salomón Rebollo-Perdomo},
  journal= {arXiv preprint arXiv:1208.2621},
  year   = {2012}
}