English

Looking more closely to the Rabinovich-Fabrikant system

Chaotic Dynamics 2015-10-02 v2

Abstract

Recently, we look more closely into the Rabinovich-Fabrikant system, after a decade of the study in [Danca & Chen, 2004], discovering some new characteristics such as cycling chaos, transient chaos, chaotic hidden attractors and a new kind of saddles-like attractor. In addition to extensive and accurate numerical analysis, on the assumptive existence of heteroclinic orbits, we provide a few of their approximations.

Keywords

Cite

@article{arxiv.1509.09206,
  title  = {Looking more closely to the Rabinovich-Fabrikant system},
  author = {Marius-F. Danca and Michal Feckan and Nikolay Kuznetsov and Guanrong Chen},
  journal= {arXiv preprint arXiv:1509.09206},
  year   = {2015}
}