Hidden chaotic attractors in fractional-order systems
Chaotic Dynamics
2018-05-01 v1
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.
Keywords
Cite
@article{arxiv.1804.10769,
title = {Hidden chaotic attractors in fractional-order systems},
author = {Marius-F. Danca},
journal= {arXiv preprint arXiv:1804.10769},
year = {2018}
}
Comments
uncorrected proof