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arXiv · 1804.10769

Hidden chaotic attractors in fractional-order systems

Marius-F. Danca
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Abstract

In this paper, we present a scheme for uncovering hidden chaotic attrac- tors in nonlinear autonomous systems of fractional order. The stability of equilibria of fractional-order systems is analyzed. The underlying initial value problem is nu- merically integrated with the predictor-corrector Adams-Bashforth-Moulton algo- rithm for fractional-order differential equations. Three examples of fractional-order systems are considered: a generalized Lorenz system, the Rabinovich-Fabrikant system and a non-smooth Chua system.

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Marius-F. Danca. 2018-04-28. Hidden chaotic attractors in fractional-order systems. https://doi.org/10.1007/s11071-017-3472-7

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