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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2010, Volume 270, Pages 198–219 (Mi tm3021)  
This article is cited in 10 scientific papers (total in 10 papers)

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

Lobachevsky State University of Nizhni Novgorod, Nizhni Novgorod, Russia
Full-text PDF (427 kB) Citations (10)
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Abstract: 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.
Received in January 2010
English version:
Proceedings of the Steklov Institute of Mathematics, 2010, Volume 270, Pages 194–215
DOI: https://doi.org/10.1134/S0081543810030156
Bibliographic databases:
Document Type: Article
UDC: 517.938
Language: Russian
Citation: T. M. Mitryakova, O. V. Pochinka, “Necessary and sufficient conditions for the topological conjugacy of surface diffeomorphisms with a finite number of orbits of heteroclinic tangency”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 270, MAIK Nauka/Interperiodica, Moscow, 2010, 198–219; Proc. Steklov Inst. Math., 270 (2010), 194–215
Citation in format AMSBIB
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\paper Necessary and sufficient conditions for the topological conjugacy of surface diffeomorphisms with a~finite number of orbits of heteroclinic tangency
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
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\pages 198--219
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 10 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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