Uniformly hyperbolic attractor of the Smale-Williams type for a Poincaré map in the Kuznetsov system

Details Uniformly hyperbolic attractor of the Smale-Williams type for a Poincaré map in the Kuznetsov system Uniformly hyperbolic attractor of the Smale-Williams type for a Poincaré map in the Kuznetsov system

2010-06-03

arxiv.org/abs/1006.0614v1

Mathematics

Dynamical Systems

20 pages, 5 figures

Scientific paper

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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