On pairs of differential $1$-forms in the plane

R.D.S. Oliveira; F. Tari

doi:10.3934/dcds.2000.6.519

Article Contents

2000, Volume 6, Issue 3: 519-536. Doi: 10.3934/dcds.2000.6.519

This issue Previous Article Extended gradient systems: Dimension one Next Article A note on boundary layer effects in periodic homogenization with Dirichlet boundary conditions

On pairs of differential $1$-forms in the plane

R.D.S. Oliveira^1, and
F. Tari¹

1.
Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação, Caixa Postal 668, CEP 13560-970, São Carlos (SP)

Received: April 30, 1999

Revised: February 29, 2000

Published: June 2000

Abstract Related Papers Cited by

Abstract

We classify pairs of germs of differential $1$-forms $(\alpha, beta)$ in the plane, where $\alpha$, $beta$ are either regular or have a singularity of type saddle/node/focus. The main tools used here are singularity theory and the method of polar blowing up. We also present a desingularization theorem for pairs of germs of differential $1$-forms in the plane.

Keywords:

Mathematics Subject Classification: 34C20, 34A34, 58C27.

Citation:

Article Metrics

HTML views() PDF downloads(72) Cited by(0)

On pairs of differential $1$-forms in the plane

Abstract

Access History

Article Metrics

Access History

Other Articles By Authors

Catalog

On pairs of differential $1$-forms in the plane

Abstract

Access History

SHARE

Article Metrics

Access History

Other Articles By Authors

Catalog

Export File

Citation

Format

Content