Stability of vector fields on R3 determined by the first non-vanishing jet

Author:

Urbina Ana María,de la Barra Mario León,de la Barra Guillermo León

Publisher

Elsevier BV

Subject

Analysis,Applied Mathematics

Reference11 articles.

1. P. Bonckaert, F. Dumortier, and S. van Strien, Singularities of vector fields on R3 determined by their first, non-vanishing jet, preprint.

2. Geometric properties of homogeneous vector fields of degree two in R3;Camacho;Trans. Amer. Math. Soc.,1981

3. A contribution to the topological classification of homogeneous vector fields in R3;Camacho;J. Differential Equations,1985

4. Singularities of vector fields on the plane;Dumortier;J. Differential Equations,1977

5. Singularities of vector fields;Dumortier,1978

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1. Topics on singularities and bifurcations of vector fields;Normal Forms, Bifurcations and Finiteness Problems in Differential Equations;2004

2. On the Local Structure of Real Vector Fields at a Dicritical Singularity;Journal of Differential Equations;1999-03

3. Nilpotent Singularities in Generic 4-Parameter Families of 3-Dimensional Vector Fields;Journal of Differential Equations;1996-05

4. Genericity of hyperbolic homogeneous vector fields in R3;Journal of Differential Equations;1992-06

5. Transition functions and moduli of stability for 3-dimensional homogeneous vector fields with a hyperbolic blowing-up;Journal of Differential Equations;1991-12

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