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General hyperbolicity conditions for set-valued mappings |
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| Authors: | S.?Yu .Pilyugin author-information" > author-information__contact u-icon-before" > mailto:sp@sp.spb.edu" title=" sp@sp.spb.edu" itemprop=" email" data-track=" click" data-track-action=" Email author" data-track-label=" " >Email author,J.?Rieger |
| Affiliation: | 1.St. Petersburg State University,St. Petersburg,Russia;2.Universit?t Bielefeld,Bielefeld,Germany |
| Abstract: | A definition of hyperbolicity for dynamical systems generated by set-valued mappings of general form in terms of local selectors is given. It is shown that a system hyperbolic in this sense has the shadowing and inverse shadowing properties. It is also shown that the hyperbolicity property holds true for a certain class of set-valued mappings where images of points are convex polytopes. Bibliography: 13 titles. |
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