Hidden transient chaotic attractors of Rabinovich-Fabrikant system

Marius-F. Danca

doi:10.1007/s11071-016-2962-3

Hidden transient chaotic attractors of Rabinovich-Fabrikant system

Chaotic Dynamics 2016-08-09 v3

Authors: Marius-F. Danca

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Abstract

In [1], it is shown that the Rabinovich-Fabrikant (RF) system admits self-excited and hidden chaotic attractors. In this paper, we further show that the RF system also admits a pair of symmetric transient hidden chaotic attractors. We reveal more extremely rich dynamics of this system, such as a new kind of "virtual saddles".

Keywords

Rabinovich-Fabrikant system hidden chaotic attractor transient attractor self-excited attractor symmetric attractor virtual saddle nonlinear dynamics

Cite

@article{arxiv.1604.04055,
  title  = {Hidden transient chaotic attractors of Rabinovich-Fabrikant system},
  author = {Marius-F. Danca},
  journal= {arXiv preprint arXiv:1604.04055},
  year   = {2016}
}

Comments

revised

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