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arXiv · 1006.0614

Uniformly hyperbolic attractor of the Smale-Williams type for a Poincar\'e map in the Kuznetsov system

Daniel Wilczak
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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.

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Daniel Wilczak. 2010-06-03. Uniformly hyperbolic attractor of the Smale-Williams type for a Poincar\'e map in the Kuznetsov system. https://doi.org/10.1137/100795176

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