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