Please use this identifier to cite or link to this item: http://hdl.handle.net/10397/31769
Title: On a dynamical system with multiple chaotic attractors
Authors: Luo, X
Small, M
Danca, MF
Chen, G
Keywords: Chaos detection
LIL algorithm
Monte Carlo hypothesis test
Multiple attractors
Rabinovich-fabrikant system
Surrogate data test
Issue Date: 2007
Publisher: World Scientific
Source: International journal of bifurcation and chaos in applied sciences and engineering, 2007, v. 17, no. 9, p. 3235-3251 How to cite?
Journal: International journal of bifurcation and chaos in applied sciences and engineering 
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.
URI: http://hdl.handle.net/10397/31769
ISSN: 0218-1274
EISSN: 1793-6551
DOI: 10.1142/S0218127407018993
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