Uniformly hyperbolic attractor of the Smale-Williams type for a Poincar\'e map in the Kuznetsov system
Dynamical Systems
2016-02-29 v1 Chaotic Dynamics
Abstract
We propose a general algorithm for computer assisted verification of uniform hyperbolicity for maps which exhibit a robust attractor. The method has been successfully applied to a Poincare map for a system of coupled non-autonomous van der Pol oscillators. The model equation has been proposed by Kuznetsov and the attractor seems to be of the Smale-Williams type.
Keywords
Cite
@article{arxiv.1006.0614,
title = {Uniformly hyperbolic attractor of the Smale-Williams type for a Poincar\'e map in the Kuznetsov system},
author = {Daniel Wilczak},
journal= {arXiv preprint arXiv:1006.0614},
year = {2016}
}
Comments
20 pages, 5 figures