July  2000, 6(3): 741-749. doi: 10.3934/dcds.2000.6.741

On pairs of foliations defined by vector fields in the plane

1. 

Instituto de Matemática e Estatística, Universidade de São Paulo, Rua do Matão 1010, 05508-900 São Paulo, S.P., Brazil

2. 

Department of Mathematics, Technion, 32000 Haifa, Israel

Received  April 1999 Revised  October 1999 Published  April 2000

We obtain a smooth and analytic local classification of pairs of foliations of the plane assuming that one of the foliations is defined by a nonsingular vector field and the other foliation is defined by a singular vector field.
Citation: Jorge Sotomayor, Michail Zhitomirskii. On pairs of foliations defined by vector fields in the plane. Discrete & Continuous Dynamical Systems, 2000, 6 (3) : 741-749. doi: 10.3934/dcds.2000.6.741
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