VECTOR FIELDS IN R2 WITH MAXIMAL INDEX |
| |
| Authors: | Nabarro, A. C. Ruas, M. A. S. |
| |
| Affiliation: | Universidade de São Paulo, Instituto de Ciências Matemáticas e de Computação, Caixa Postal 668, 13560-970 São Carlos, SP, Brazil |
| |
| Abstract: | We consider the method of Poincaré to investigate thelocal index of vector fields in the plane. If m is the degreeof the first non-zero jet, Xm, of the vector field X at an isolatedzero, we explore the geometry of the pencil generated by thecoordinate functions of Xm when the absolute value of the indexof X, |ind (X)|, is m. We also find necessary and sufficientconditions for |ind (X)| to be m. |
| |
| Keywords: | |
| 本文献已被 Oxford 等数据库收录！ |
|
