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Two-parameter families of implicit differential equations.

Tari, F. (2005) 'Two-parameter families of implicit differential equations.', Discrete and continuous dynamical systems : series A., 13 (1). pp. 139-162.

Abstract

We study in this paper local codimension 2 singularities of (first order) implicit differential equations F(x, y, p) = 0, where F is a germ of a smooth function, p = dy dx , Fp = 0 and Fpp = 0 at the singular point. We obtain topological models of these singularities and deal with their bifurcations in generic 2-parameter families of equations.

Item Type:Article
Keywords:Implicit differential equations, Singularities, Bifurcations.
Full text:PDF - Published Version (58Kb)
Status:Peer-reviewed
Publisher Web site:http://dx.doi.org/10.3934/dcds.2005.13.139
Record Created:15 Feb 2008
Last Modified:20 Aug 2014 10:57

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