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Looking More Closely at the Rabinovich-Fabrikant System

2016

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.

Control of chaosheteroclinic orbitLIL numerical methodApplied Mathematicsta111Chaotictransient chaos01 natural sciencesRabinovich-Fabrikant system010305 fluids & plasmasNonlinear Sciences::Chaotic DynamicsClassical mechanicsModeling and Simulation0103 physical sciencesAttractorHeteroclinic orbitStatistical physicscycling chaos010301 acousticsEngineering (miscellaneous)MathematicsInternational Journal of Bifurcation and Chaos

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