English

Isochronicity and linearizability of a planar cubic system

Dynamical Systems 2017-01-11 v1

Abstract

In this paper we investigate the problem of linearizability for a family of cubic complex planar systems of ordinary differential equations. We give a classification of linearizable systems in the family obtaining conditions for linearizability in terms of parameters. We also discuss coexistence of isochronous centers in the systems.

Keywords

Cite

@article{arxiv.1701.02657,
  title  = {Isochronicity and linearizability of a planar cubic system},
  author = {Wilker Fernandes and Valery G. Romanovski and Marzhan Sultanova and Yilei Tang},
  journal= {arXiv preprint arXiv:1701.02657},
  year   = {2017}
}