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Get Free AccessThe 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.
Xiaodong Luo, Michael Small, Marius‐F. Danca, Guanrong Chen (2007). ON A DYNAMICAL SYSTEM WITH MULTIPLE CHAOTIC ATTRACTORS. International Journal of Bifurcation and Chaos, 17(09), pp. 3235-3251, DOI: 10.1142/s0218127407018993.
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Type
Article
Year
2007
Authors
4
Datasets
0
Total Files
0
Language
English
Journal
International Journal of Bifurcation and Chaos
DOI
10.1142/s0218127407018993
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