ar X iv : m at h - ph / 0 10 10 22 v 1 2 3 Ja n 20 01 Poincaré renormalized forms and regular singular points of vector fields in the plane Giuseppe

/ 0 10 10 22 v 2 2 8 Fe b 20 01 Poincaré renormalized forms and regular singular points of vector fields in the plane

We discuss the local behaviour of vector fields in the plane R around a regular singular point using a special kind of reduced normal forms recently introduced, i.e. Poincaré renormalized forms [Ann. I.H.P. 70 (1999), 461-514]. We give a complete classification, and provide explicit formulas for non-degenerate cases. A computational error for a degenerate case of codimension 3 contained in prev...

Poincaré and Lie renormalized forms for regular singular points of vector fields in the plane

We discuss the local behaviour of vector fields in the plane R around a regular singular point, using recently introduced reduced normal forms, i.e. Poincaré and Lie renormalized forms [30, 31, 32]. We give a complete classification, and provide explicit formulas, using Poincaré renormalized forms for non-degenerate cases, and Lie ones for certain degenerate cases. Both schemes are completely a...

Poincar E Renormalized Forms and Regular Singular Points of Vector Elds in the Plane

We discuss the local behaviour of vector elds in the plane R 2 around a singular point (i.e. a zero), on the basis of standard (Poincar e-Dulac) normal forms theory, and from the point of view of Poincar e renormalized forms 28]. We give a complete classiication for regular singular points and provide explicit formulas for non-degenerate cases. A computational error for a degenerate case of cod...

ar X iv : m at h - ph / 0 31 10 01 v 4 3 N ov 2 00 4 Clifford Valued Differential Forms , Algebraic Spinor Fields

ar X iv : m at h / 06 01 74 3 v 1 [ m at h . SP ] 3 0 Ja n 20 06 DETERMINANTS OF ZEROTH ORDER OPERATORS