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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 2010 Volume 6, Number 1, Pages 91–105 (Mi nd58)

This article is cited in 3 papers

To a question on classification of diffeomorphisms of surfaces with a finite number of moduli of topological conjugacy

T. M. Mitryakova, O. V. Pochinka

N. I. Lobachevski State University of Nizhni Novgorod

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.

UDC: 517.938

MSC: 37E30

Received: 16.01.2010



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