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Matematicheskie Zametki, 2013, Volume 93, Issue 6, Pages 902–919
DOI: https://doi.org/10.4213/mzm10244 (Mi mzm10244) 		 
This article is cited in 3 scientific papers (total in 3 papers)

Realization of Cascades on Surfaces with Finitely Many Moduli of Topological Conjugacy

T. M. Mitryakova, O. V. Pochinka

N. I. Lobachevski State University of Nizhni Novgorod
Full-text PDF (684 kB) Citations (3)
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DOI: https://doi.org/10.4213/mzm10244
Abstract: A method for constructing cascades on surfaces is developed, which makes it possible to model structurally unstable discrete dynamical systems with finitely many orbits of heteroclinic tangency and preset moduli of topological conjugacy.
Keywords: structurally unstable dynamical system, cascade, orbit of heteroclinic tangency, modulus of topological conjugacy, scheme of a diffeomorphism.
Received: 20.04.2012
Revised: 31.05.2012
English version:
Mathematical Notes, 2013, Volume 93, Issue 6, Pages 890–905
DOI: https://doi.org/10.1134/S0001434613050271
Bibliographic databases:
Document Type: Article
UDC: 517.938
Language: Russian
Citation: T. M. Mitryakova, O. V. Pochinka, “Realization of Cascades on Surfaces with Finitely Many Moduli of Topological Conjugacy”, Mat. Zametki, 93:6 (2013), 902–919; Math. Notes, 93:6 (2013), 890–905
Citation in format AMSBIB
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Linking options:
  • https://www.mathnet.ru/eng/mzm10244
  • https://doi.org/10.4213/mzm10244
  • https://www.mathnet.ru/eng/mzm/v93/i6/p902
    • This publication is cited in the following 3 articles:
    1. A. Morozov, O. Pochinka, “Classification of Morse–Smale diffeomorphisms with a finite set of heteroclinic orbits on surfaces”, Mosc. Math. J., 23:4 (2023), 571–590  mathnet
    2. Malyshev D. Morozov A. Pochinka O., “Combinatorial Invariant For Morse-Smale Diffeomorphisms on Surfaces With Orientable Heteroclinic”, Chaos, 31:2 (2021), 023119  crossref  mathscinet  isi  scopus
    3. V. Z. Grines, S. H. Kapkaeva, O. V. Pochinka, “A three-colour graph as a complete topological invariant for gradient-like diffeomorphisms of surfaces”, Sb. Math., 205:10 (2014), 1387–1412  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Математические заметки Mathematical Notes
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