Martin Shoptrajanov

    Sts "Cyril and Methodius"


    Shekutkovski N., Shoptrajanov M.
    This paper concerns the connection between shape theory and attractors for semidynamical systems in metric spaces. We show that intrinsic shape theory from [6] is a convenient framework to study the global properties which the attractor inherits from the phase space. Namely, following [6] we’ll improve some of the previous results about the shape of global attractors in arbitrary metrizable spaces by using the intrinsic approach to shape which combines continuity up to a covering and the corresponding homotopies of first order.
    Keywords: intrinsic shape, regular covering, continuity over a covering, attractor, proximate net
    Citation: Shekutkovski N., Shoptrajanov M.,  Intrinsic Shape Property of Global Attractors in Metrizable Spaces, Rus. J. Nonlin. Dyn., 2020, Vol. 16, no. 1, pp.  181-194

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