TY - JOUR
T1 - On a dynamical system with multiple chaotic attractors
AU - Luo, Xiaodong
AU - Small, Michael
AU - Danca, Marius-F.
AU - Chen, Guanrong
PY - 2007/9
Y1 - 2007/9
N2 - 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. © World Scientific Publishing Company.
AB - 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. © World Scientific Publishing Company.
KW - Chaos detection
KW - LIL algorithm
KW - Monte Carlo hypothesis test
KW - Multiple attractors
KW - Rabinovich-fabrikant system
KW - Surrogate data test
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UR - https://www.scopus.com/record/pubmetrics.uri?eid=2-s2.0-36749037740&origin=recordpage
U2 - 10.1142/S0218127407018993
DO - 10.1142/S0218127407018993
M3 - RGC 21 - Publication in refereed journal
SN - 0218-1274
VL - 17
SP - 3235
EP - 3251
JO - International Journal of Bifurcation and Chaos
JF - International Journal of Bifurcation and Chaos
IS - 9
ER -