On pairs of polynomial planar foliations

Regilene D. S. Oliveira, Marco Antonio Teixeira

DOI: http://dx.doi.org/10.12775/TMNA.2007.022

Abstract


In this article we deal with pairs of polynomial planar
foliations. The main results concern global and local structural
stability as well as the finite determinacy for these pairs. These
results can be applied to study a special class of quadratic
differential forms in the plane.

Keywords


Differential forms; vector fields; singularities; structural stability; finite determinacy

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