Two-parameter families of implicit differential equations | Zendy

Farid Tari | Zendy

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Two-parameter families of implicit differential equations

Author(s) -

Farid Tari

Publication year - 2005

Publication title -

discrete and continuous dynamical systems

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.289

H-Index - 70

eISSN - 1553-5231

pISSN - 1078-0947

DOI - 10.3934/dcds.2005.13.139

Subject(s) - gravitational singularity , codimension , mathematics , order (exchange) , germ , differential equation , zero (linguistics) , pure mathematics , singular point of a curve , function (biology) , mathematical analysis , linguistics , philosophy , finance , evolutionary biology , economics , biology

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

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