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On a dynamical system with multiple chaotic attractors

Domenii publicaţii > Matematica + Tipuri publicaţii > Articol în revistã ştiinţificã

Autori: X. Luo, M. Small, Marius-F. Danca and G. Chen

Editorial: World Scientific, International Journal Bifurcation & Chaos, 17, p.3235-3251, 2007.

Rezumat:

In this paper, we carefully reexamine the chaotic RF model, first studied by Rabinovich and
Fabrikant [1979], and have found many new and rich complex dynamics of the model that
were mostly not reported before. The chaotic RF model has proved to be a great challenge
to classical numerical methods, in the sense that most classical numerical methods have not
been very successful in the study of complex dynamics of this special RF model. Therefore, in
this paper, we present and apply a special numerical method, the Local Iterative Linearization
(LIL) method, along with a special Turbo Pascal code based on this accurate LIL algorithm,
for a careful numerical study of this complex RF model. Many interesting new findings are
summarized and reported in this paper.

Cuvinte cheie: Bifurcation; Chaos, Iterative linearization method.