Looking More Closely at the Rabinovich-Fabrikant System

6533b830fe1ef96bd129726c

RESEARCH PRODUCT

Looking More Closely at the Rabinovich-Fabrikant System

Marius-f. Danca Michal Fečkan Michal Fečkan Nikolay Kuznetsov Nikolay Kuznetsov Guanrong Chen

subject

Control of chaos heteroclinic orbit LIL numerical method Applied Mathematics ta111 Chaotic transient chaos 01 natural sciences Rabinovich-Fabrikant system 010305 fluids & plasmas Nonlinear Sciences::Chaotic Dynamics Classical mechanics Modeling and Simulation 0103 physical sciences Attractor Heteroclinic orbit Statistical physics cycling chaos 010301 acoustics Engineering (miscellaneous)Mathematics

description

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.

year	journal	country	edition	language
2016-02-01	International Journal of Bifurcation and Chaos

10.1142/s0218127416500383 http://juuli.fi/Record/0278565616

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