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

T. M. Mitryakova ; O. V. Pochinka

Russian journal of nonlinear dynamics, Tome 6 (2010) no. 1, pp. 91-105.

Résumé

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).

Détail

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

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