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Matematicheskie Zametki, 2001, Volume 70, Issue 2, Pages 181–194
DOI: https://doi.org/10.4213/mzm732 (Mi mzm732) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Topological Equivalence of Local Singularities of Particular Type for Dynamical Systems with Shock Interactions

S. P. Gorbikov

Research Institute for Applied Mathematics and Cybernetics, N. I. Lobachevski State University of Nizhnii Novgorod
Full-text PDF (221 kB) Citations (2)
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DOI: https://doi.org/10.4213/mzm732
Abstract: A theorem on topological equivalence is proved for local singularities of particular type for dynamical systems with shock interactions. The proof is based on a previously established result concerning the description of motion in the neighborhood of the specified local singularity in terms of smooth differential equations.
Received: 03.12.1999
Revised: 30.11.2000
English version:
Mathematical Notes, 2001, Volume 70, Issue 2, Pages 163–174
DOI: https://doi.org/10.1023/A:1010246607005
Bibliographic databases:
UDC: 517.938.5
Language: Russian
Citation: S. P. Gorbikov, “Topological Equivalence of Local Singularities of Particular Type for Dynamical Systems with Shock Interactions”, Mat. Zametki, 70:2 (2001), 181–194; Math. Notes, 70:2 (2001), 163–174
Citation in format AMSBIB
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\transl
\jour Math. Notes
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\pages 163--174
\crossref{https://doi.org/10.1023/A:1010246607005}
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  • https://www.mathnet.ru/eng/mzm732
  • https://doi.org/10.4213/mzm732
  • https://www.mathnet.ru/eng/mzm/v70/i2/p181
    • This publication is cited in the following 2 articles:
    1. S. P. Gorbikov, “Auxiliary sliding motions of vibro-impact systems”, Autom. Remote Control, 81:8 (2020), 1413–1430  mathnet  crossref  crossref  isi  elib  elib
    2. Gorbikov S.P., Men'shenina A.V., “Bifurcation resulting in chaotic motions in dynamical systems with shock interactions”, Differential Equations, 41:8 (2005), 1097–1104  mathnet  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    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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