Necessary and sufficient conditions for the topological conjugacy of surface diffeomorphisms with a~finite number of orbits of heteroclinic tangency

T. M. Mitryakova ; O. V. Pochinka

Informatics and Automation, Differential equations and dynamical systems, Tome 270 (2010), pp. 198-219.

Résumé

We consider diffeomorphisms of orientable surfaces with the nonwandering set consisting of a finite number of hyperbolic fixed points and the wandering set containing a finite number of heteroclinic orbits of transversal and nontransversal intersection. We distinguish a meaningful class of diffeomorphisms and present a complete topological invariant for this class. The invariant is a scheme consisting of a set of numerical parameters and a set of geometric objects.

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