Geodesic
To a question on classification of diffeomorphisms of surfaces with a finite number of moduli of topological conjugacy
Russian journal of nonlinear dynamics, Tome 6 (2010) no. 1, pp. 91-105

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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. 
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     author = {T. M. Mitryakova and O. V. Pochinka},
     title = {To a question on classification of diffeomorphisms of surfaces with a finite number of moduli of topological conjugacy},
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T. M. Mitryakova; O. V. Pochinka. To a question on classification of diffeomorphisms of surfaces with a finite number of moduli of topological conjugacy. Russian journal of nonlinear dynamics, Tome 6 (2010) no. 1, pp. 91-105. http://geodesic.mathdoc.fr/item/ND_2010_6_1_a5/