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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2010, Volume 6, Number 1, Pages 91–105
(Mi nd58)
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This article is cited in 3 scientific papers (total 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.
Received: 16.01.2010
Citation:
T. M. Mitryakova, O. V. Pochinka, “To a question on classification of diffeomorphisms of surfaces with a finite number of moduli of topological conjugacy”, Nelin. Dinam., 6:1 (2010), 91–105
Linking options:
https://www.mathnet.ru/eng/nd58 https://www.mathnet.ru/eng/nd/v6/i1/p91
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Abstract page: | 270 | Full-text PDF : | 64 | References: | 35 | First page: | 1 |
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