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Two-parameter families of implicit differential equations

Tari, Farid

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Authors

Farid Tari



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.

Citation

Tari, F. (2005). Two-parameter families of implicit differential equations. Discrete and Continuous Dynamical Systems - Series A, 13(1), 139-162. https://doi.org/10.3934/dcds.2005.13.139

Journal Article Type Article
Publication Date 2005-06
Deposit Date Feb 15, 2008
Publicly Available Date Aug 20, 2014
Journal Discrete and Continuous Dynamical Systems - Series A
Print ISSN 1078-0947
Electronic ISSN 1553-5231
Publisher American Institute of Mathematical Sciences (AIMS)
Peer Reviewed Peer Reviewed
Volume 13
Issue 1
Pages 139-162
DOI https://doi.org/10.3934/dcds.2005.13.139
Keywords Implicit differential equations, Singularities, Bifurcations.
Publisher URL http://www.aimsciences.org/journals/pdfs.jsp?paperID=921&mode=abstract

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