Unusual dynamics and hidden attractors of the Rabinovich-Fabrikant system

TL;DR

This paper investigates complex and unusual behaviors in the Rabinovich-Fabrikant system, revealing hidden attractors and novel dynamics through numerical analysis due to its high nonlinearity.

Contribution

It uncovers new types of dynamics, including hidden attractors and virtual saddles, in the Rabinovich-Fabrikant system using numerical methods.

Findings

Identification of hidden chaotic attractors

Discovery of virtual saddles and tornado-like cycles

Numerical analysis of complex nonlinear behaviors

Abstract

This paper presents some unusual dynamics of the Rabinovich-Fabrikant system, such as "virtual" saddles, "tornado"-like stable cycles and hidden chaotic attractors. Due to the strong nonlinearity and high complexity, the results are obtained numerically with some insightful descriptions and discussions.