Abstract
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.
Original language | English |
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Pages (from-to) | 2822-2832 |
Journal | Journal of Differential Equations |
Volume | 251 |
Issue number | 10 |
DOIs | |
Publication status | Published - 15 Nov 2011 |
Keywords
- Newton diagram
- Topological index
- Vector fields