Farid Tari
Two-parameter families of implicit differential equations
Tari, Farid
Authors
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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