Approximating hidden chaotic attractors via parameter switching

Marius-F. Danca, Nikolay Kuznetsov, Guanrong Chen

Full text: http://dx.doi.org/10.1063/1.5007925

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Abstract

In this paper, the problem of approximating hidden chaotic attractors of a general class of nonlinear systems is investigated. The parameter switching (PS) algorithm is utilized, which switches the control parameter within a given set of values with the initial value problem numerically solved. The PS-generated attractor approximates the attractor obtained by averaging the control parameter with the switched values, which represents the hidden chaotic attractor. The hidden chaotic attractors of a generalized Lorenz system and the Rabinovich-Fabrikant system are simulated for illustration.

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