Attractors of a chaotic dynamical system

Fractals and Chaos

By Marius-F. Danca

Periodic and strange attractors of the Rabinovich Fabrikant dynamical system

The pictures show periodic and strange attractors of the Rabinovich Fabrikant dynamical system [1] obtained with a special numerical method for the ODE [2].

This particular system has proved to be a great challenge for classical numerical methods and presents multiple chaotic attractors [3].


Periodic motion of Rabinovich Fabrikant system.


Chaotic attractor of Rabinovich Fabrikant system.


[1] Marius-F. Danca, and Guanrong Chen, Bifurcation and Chaos in a Complex Model of Dissipative Medium, IJBC, 14 (10), 2004, 3409-3447.
[2] Marius-F. Danca, A multistep algorithm for ODEs, Dynamics of Continuous, Discrete Impulsive and Systems, Series B: Applications and Algorithms, 2005, accepted.
[3] Xiaodong Luo, Marius-F. Danca, Michael Small and Guanrong Chen, On a dynamical System with Multiple Chaotic Attractors, IJBC, 2006, accepted.

Author Institutional Affiliation"Tehnofrig" Technical College, Dept. of Mathematics, Cluj-Napoca, Romania
Author Email
Keywordschaos, strange attractors, multiple chaotic attractors

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