Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2010, Volume 6, Number 1, Pages 91–105 (Mi nd58)  

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
Full-text PDF (736 kB) Citations (3)
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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
Bibliographic databases:
Document Type: Article
UDC: 517.938
MSC: 37E30
Language: Russian
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
Citation in format AMSBIB
\Bibitem{MitPoc10}
\by T.~M.~Mitryakova, O.~V.~Pochinka
\paper To a question on classification of diffeomorphisms of surfaces with a finite number of moduli of topological conjugacy
\jour Nelin. Dinam.
\yr 2010
\vol 6
\issue 1
\pages 91--105
\mathnet{http://mi.mathnet.ru/nd58}
\elib{https://elibrary.ru/item.asp?id=13411473}
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  • https://www.mathnet.ru/eng/nd/v6/i1/p91
  • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Нелинейная динамика
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