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arxiv: 1509.09206 · v2 · pith:ZRW67UZFnew · submitted 2015-09-30 · 🌊 nlin.CD

Looking more closely to the Rabinovich-Fabrikant system

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

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