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ON A DYNAMICAL SYSTEM WITH MULTIPLE CHAOTIC ATTRACTORS

XIAODONG LUO

Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, P. R. China

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MICHAEL SMALL

Department of Electronic and Information Engineering, Hong Kong Polytechnic University, Hong Kong, P. R. China

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MARIUS-F. DANCA

Department of Applied Sciences, Avram Iancu University, Cluj-Napoca, Romania

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, and

GUANRONG CHEN

Department of Electronic Engineering, City University of Hong Kong, Hong Kong, P. R. China

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https://doi.org/10.1142/S0218127407018993Cited by:43 (Source: Crossref)

Abstract

The chaotic behavior of the Rabinovich–Fabrikant system, a model with multiple topologically different chaotic attractors, is analyzed. Because of the complexity of this system, analytical and numerical studies of the system are very difficult tasks. Following the investigation of this system carried out in [Danca & Chen, 2004], this paper verifies the presence of multiple chaotic attractors in the system. Moreover, the Monte Carlo hypothesis test (or, equivalently, surrogate data test) is applied to the system for the detection of chaos.

Keywords:

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