On a Dynamical System with Multiple Chaotic attractors

نویسندگان

  • Xiaodong Luo
  • Michael Small
  • Marius-F. Danca
  • Guanrong Chen
چکیده

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.

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عنوان ژورنال:
  • I. J. Bifurcation and Chaos

دوره 17  شماره 

صفحات  -

تاریخ انتشار 2007