Hidden transient chaotic attractors of Rabinovich-Fabrikant system

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".

revised

References in corpus (3)

• Homoclinic orbits, and self-excited and hidden attractors in a Lorenz-like system describing convective fluid motion
• Existence of perpetual points in nonlinear dynamical systems and its applications
• Unusual dynamics and hidden attractors of the Rabinovich-Fabrikant system

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