Looking More Closely at the Rabinovich–Fabrikant System-Reference-Cited by-同舟云学术

Looking More Closely at the Rabinovich–Fabrikant System

Published:2016-02 Issue:02 Volume:26 Page:1650038
ISSN:0218-1274
Container-title:International Journal of Bifurcation and Chaos
language:en
Short-container-title:Int. J. Bifurcation Chaos

Author:

Danca Marius-F.¹²,Fec̆kan Michal³⁴,Kuznetsov Nikolay⁵⁶,Chen Guanrong⁷

Affiliation:

1. Department of Mathematics and Computer Science, Avram Iancu University of Cluj-Napoca, Romania

2. Romanian Institute of Science and Technology, Cluj-Napoca, Romania

3. Department of Mathematical Analysis and Numerical Mathematics, Comenius University in Bratislava, Slovakia

4. Mathematical Institute Slovak Academy of Sciences, Bratislava, Slovakia

5. Department of Applied Cybernetics, Saint-Petersburg State University, Russia

6. University of Jyväskylä, Finland

7. Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, P. R. China

Abstract

Recently, we looked more closely into the Rabinovich–Fabrikant system, after a decade of study [Danca & Chen, 2004], discovering some new characteristics such as cycling chaos, transient chaos, chaotic hidden attractors and a new kind of saddle-like attractor. In addition to extensive and accurate numerical analysis, on the assumptive existence of heteroclinic orbits, we provide a few of their approximations.

Publisher

World Scientific Pub Co Pte Lt

Subject

Applied Mathematics,Modeling and Simulation,Engineering (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218127416500383

Reference27 articles.

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