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This article is cited in 6 scientific papers (total in 6 papers)
The normal form of slow motions of an equation of relaxation type and fibrations of binomial surfaces
A. A. Davydov
Abstract:
Normal forms of fibrations of binomial surfaces are found. The results are applied to the study of slow motions of equations of relaxation type.
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Bibliography: 7 titles.
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English version:
Mathematics of the USSR-Sbornik, 1988, 60:1, 133–141
Bibliographic databases:
 
UDC:
517.91
MSC: Primary 58C27; Secondary 57R70, 32B30
Received: 10.10.1985
Citation:
A. A. Davydov, “The normal form of slow motions of an equation of relaxation type and fibrations of binomial surfaces”, Mat. Sb. (N.S.), 132(174):1 (1987), 131–139; Math. USSR-Sb., 60:1 (1988), 133–141
Citation in format AMSBIB
\Bibitem{Dav87}
\by A.~A.~Davydov
\paper The~normal form of slow motions of an equation of relaxation type and fibrations of binomial surfaces
\jour Mat. Sb. (N.S.)
\yr 1987
\vol 132(174)
\issue 1
\pages 131--139
\mathnet{http://mi.mathnet.ru/msb1766}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=883916}
\zmath{https://zbmath.org/?q=an:0656.58003|0618.58011}
\transl
\jour Math. USSR-Sb.
\yr 1988
\vol 60
\issue 1
\pages 133--141
\crossref{https://doi.org/10.1070/SM1988v060n01ABEH003159}
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M. E. Kazarian, “Flattenings of projective curves, singularities of Schubert stratifications of Grassmannians and flag varieties, and bifurcations of Weierstrass points of algebraic curves”, Russian Math. Surveys, 46:5 (1991), 91–136
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Goo Ishikawa, “The local model of an isotropic map-germ arising from one-dimensional symplectic reduction”, Math Proc Camb Phil Soc, 111:1 (1992), 103
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A. A. Davydov, “Whitney umbrella and slow-motion bifurcations of relaxation-type equations”, Journal of Mathematical Sciences (New York), 126:4 (2005), 1251
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A. A. Davydov, G. Ishikawa, S. Izumiya, W.-Z. Sun, “Generic singularities of implicit systems of first order differential equations on the plane”, Jpn J Math, 3:1 (2008), 93
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V. M. Zakalyukin, A. O. Remizov, “Legendre Singularities in Systems of Implicit ODEs and Slow–Fast Dynamical Systems”, Proc. Steklov Inst. Math., 261 (2008), 136–148
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I. A. Bogaevsky, “Interaction of the folded Whitney umbrella and swallowtail in slow–fast systems”, Proc. Steklov Inst. Math., 278 (2012), 22–26
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