Two-parameter families of implicit differential equations

Farid Tari

doi:10.3934/dcds.2005.13.139

Article Contents

2005, Volume 13, Issue 1: 139-162. Doi: 10.3934/dcds.2005.13.139

This issue Previous Article Quasiperiodic solutions of semilinear Liénard equations Next Article On generalized Benjamin type equations

Two-parameter families of implicit differential equations

Farid Tari^1,

1.
ICMC-USP, Dept. de Matemática, Av. do Trabalhador São-Carlense, 400 Centro, Caixa Postal 668, CEP 13560-970, São Carlos (SP)

Received: December 31, 2003

Revised: November 30, 2004

Published: March 2005

Abstract Related Papers Cited by

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, $p=\frac{dy}{dx}$, $F_p=0$ and $F_{p p}\ne 0$ at the singular point. We obtain topological models of these singularities and deal with their bifurcations in generic 2-parameter families of equations.

Keywords:

Mathematics Subject Classification: 34A09, 37G10, 37C10, 58K05, 53A05.

Citation:

Article Metrics

HTML views() PDF downloads(281) Cited by(0)

Two-parameter families of implicit differential equations

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

Two-parameter families of implicit differential equations

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content