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Izvestiya: Mathematics, 2002, Volume 66, Issue 2, Pages 223–284
DOI: https://doi.org/10.1070/IM2002v066n02ABEH000378 (Mi im378) 		 
This article is cited in 16 scientific papers (total in 16 papers)

Structurally stable diffeomorphisms with basis sets of codimension one

V. Z. Grinesa, E. V. Zhuzhomab

a Nizhnii Novgorod State Agricultural Academy
b Nizhny Novgorod State Technical University
English version PDF (724 kB) Citations (16)
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DOI: https://doi.org/10.1070/IM2002v066n02ABEH000378
Abstract: We study the topological and homotopical structure of closed $n$-dimensional manifolds ($n\geqslant 3$) on which there are structurally stable diffeomorphisms with orientable expanding attractors and contracting repellers of codimension one. The results obtained are applied to the topological classification of such diffeomorphisms on the $n$-dimensional torus $T^n$, $n\geqslant 3$.
Received: 07.02.2001
Russian version:
Izvestiya Rossiiskoi Akademii Nauk. Seriya Matematicheskaya, 2002, Volume 66, Issue 2, Pages 3–66
DOI: https://doi.org/10.4213/im378
Bibliographic databases:
UDC: 517.9+513.83
MSC: 37C70, 37D99, 57R50, 34D30
Language: English
Original paper language: Russian
Citation: V. Z. Grines, E. V. Zhuzhoma, “Structurally stable diffeomorphisms with basis sets of codimension one”, Izv. RAN. Ser. Mat., 66:2 (2002), 3–66; Izv. Math., 66:2 (2002), 223–284
Citation in format AMSBIB
\Bibitem{GriZhu02}
\by V.~Z.~Grines, E.~V.~Zhuzhoma
\paper Structurally stable diffeomorphisms with basis sets of codimension one
\jour Izv. RAN. Ser. Mat.
\yr 2002
\vol 66
\issue 2
\pages 3--66
\mathnet{http://mi.mathnet.ru/im378}
\crossref{https://doi.org/10.4213/im378}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1918843}
\zmath{https://zbmath.org/?q=an:1017.37010}
\transl
\jour Izv. Math.
\yr 2002
\vol 66
\issue 2
\pages 223--284
\crossref{https://doi.org/10.1070/IM2002v066n02ABEH000378}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-33748483529}
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  • https://www.mathnet.ru/eng/im/v66/i2/p3
    • This publication is cited in the following 16 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Известия Российской академии наук. Серия математическая Izvestiya: Mathematics
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    Abstract page:579
    Russian version PDF:303
    English version PDF:16
    References:59
    First page:1
     
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