Daniel Wilczak

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

    Authors: Daniel Wilczak
    Subjects: Dynamical Systems
    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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