Approximating hidden chaotic attractors via parameter switching

Marius-F Danca; Nikolay V Kuznetsov; Guanrong Chen

doi:10.1063/1.5007925

Approximating hidden chaotic attractors via parameter switching

Chaos. 2018 Jan;28(1):013127. doi: 10.1063/1.5007925.

Authors

Marius-F Danca¹, Nikolay V Kuznetsov², Guanrong Chen³

Affiliations

¹ Department of Mathematics and Computer Science, Avram Iancu University of Cluj-Napoca, Cluj-Napoca, Romania.
² Department of Applied Cybernetics, Saint-Petersburg State University, Saint-Petersburg, Russia.
³ Department of Electronic Engineering, City University of Hong Kong, Hong Kong SAR, China.

PMID: 29390631
DOI: 10.1063/1.5007925

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.