We describe when the index of a singularity of a smooth vector field is determined by a finite jet at the singularity. We also give some criteria to determine some terms from the formal series expansion of the vector field at the singularity which determine the index. © 2011 Elsevier Inc.
|Journal||Journal of Differential Equations|
|Publication status||Published - 15 Nov 2011|
- Newton diagram
- Topological index
- Vector fields