T. Mitryakova

Address: 23, Gagarina av., Nizhny Novgorod, 603950 Russia

E-mail: mtm@mm.unn.ru

University: Nizhny Novgorod State University

Publications:

Mitryakova T. M., Pochinka O. V.

To a question on classification of diffeomorphisms of surfaces with a finite number of moduli of topological conjugacy
2010, Vol. 6, No. 1, pp. 91-105

Abstract

In this paper diffeomorphisms on orientable surfaces are considered, whose non-wandering set consists of a finite number of hyperbolic fixed points and the wandering set contains a finite number of heteroclinic orbits of transversal and non-transversal intersections. We investigate substantial class of diffeomorphisms for which it is found complete topological invariant — a scheme consisting of a set of geometrical objects equipped by numerical parametres (moduli of topological conjugacy).

Keywords: orbits of heteroclinic tangency, one-sided tangency, topological conjugacy, moduli of topological conjugacy

Citation: Mitryakova T. M., Pochinka O. V., To a question on classification of diffeomorphisms of surfaces with a finite number of moduli of topological conjugacy, Rus. J. Nonlin. Dyn., 2010, Vol. 6, No. 1, pp. 91-105

DOI:10.20537/nd1001007

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