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We propose a general algorithm for computer assisted verification of uniformhyperbolicity for maps which exhibit a robust attractor.  The method has been successfully applied to a Poincare map for a system ofcoupled non-autonomous van der Pol oscillators. The model equation has beenproposed by Kuznetsov and the attractor seems to be of the Smale-Williams type.

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