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 Zhurnal SVMO, 2012, Volume 14, Number 2, Pages 48–56 (Mi svmo316)

In Middle Volga Mathematical Society

On the realization of structurally stable diffeomorphisms with 2-dimensional surface basic sets

V. Z. Grines, Yu. A. Levchenko

Abstract: The present paper is continuation of the paper [2] which was devoted to topological classification of structurally stable diffeomorphisms with 2-dimensional connected surface basic sets. In the present paper topological classification of such diffeomorphisms was obtained in case if $NW(f)$ consist of 2-dimensional surface basic sets (which are not necessary connected) under certain conditions on the structure of the intersection of two-dimensional invariant manifolds. Moreover in this paper the problem of the realization of such diffeomorphisms was solved.

Keywords: diffeomorphism, basic set, attractor, topological classification

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UDC: 517.938