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Trudy Matematicheskogo Instituta imeni V.A. Steklova, 2008, Volume 261, Pages 140–153 (Mi tm745)  
This article is cited in 2 scientific papers (total in 2 papers)

Legendre Singularities in Systems of Implicit ODEs and Slow–Fast Dynamical Systems

V. M. Zakalyukinab, A. O. Remizovc

a M. V. Lomonosov Moscow State University
b University of Liverpool
c University of Porto
Full-text PDF (231 kB) Citations (2)
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Abstract: Generic properties of regular first integrals of systems of implicit differential equations are considered. In particular, for systems of two equations with two phase variables, a classification of generic bifurcations of integral level surfaces is described.
Received in January 2008
English version:
Proceedings of the Steklov Institute of Mathematics, 2008, Volume 261, Pages 136–148
DOI: https://doi.org/10.1134/S0081543808020119
Bibliographic databases:
UDC: 517.922
Language: Russian
Citation: V. M. Zakalyukin, A. O. Remizov, “Legendre Singularities in Systems of Implicit ODEs and Slow–Fast Dynamical Systems”, Differential equations and dynamical systems, Collected papers, Trudy Mat. Inst. Steklova, 261, MAIK Nauka/Interperiodica, Moscow, 2008, 140–153; Proc. Steklov Inst. Math., 261 (2008), 136–148
Citation in format AMSBIB
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\paper Legendre Singularities in Systems of Implicit ODEs and Slow--Fast Dynamical Systems
\inbook Differential equations and dynamical systems
\bookinfo Collected papers
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\vol 261
\pages 140--153
\publ MAIK Nauka/Interperiodica
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    • This publication is cited in the following 2 articles:
    1. Oset Sinha R., Saji K., “On the Geometry of Folded Cuspidal Edges”, Rev. Mat. Complut., 31:3 (2018), 627–650  crossref  mathscinet  isi  scopus
    2. I. A. Bogaevsky, “Interaction of the folded Whitney umbrella and swallowtail in slow–fast systems”, Proc. Steklov Inst. Math., 278 (2012), 22–26  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Труды Математического института имени В. А. Стеклова Proceedings of the Steklov Institute of Mathematics
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