Approximating hidden chaotic attractors via parameter switching
Chaotic Dynamics
2018-10-24 v1
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 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
Keywords
Cite
@article{arxiv.1810.08106,
title = {Approximating hidden chaotic attractors via parameter switching},
author = {Marius-F. Danca and Nikolay Kuznetsovc and Guanrong Chen},
journal= {arXiv preprint arXiv:1810.08106},
year = {2018}
}