Hidden transient chaotic attractors of Rabinovich-Fabrikant system

TL;DR

This paper uncovers new transient hidden chaotic attractors and complex dynamics, including virtual saddles, in the Rabinovich-Fabrikant system, expanding understanding of its chaotic behavior.

Contribution

It introduces the existence of symmetric transient hidden attractors and virtual saddles in the RF system, revealing richer dynamics than previously known.

Findings

Discovery of symmetric transient hidden chaotic attractors

Identification of virtual saddle structures

Enhanced understanding of RF system's complex dynamics

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".