The index of singularities of vector fields and finite jets

作者：Llibre Jaume; Saghin Radu^*

来源：Journal of Differential Equations, 2011, 251(10): 2822-2832.

DOI：10.1016/j.jde.2011.04.015

• Topological index
• Vector fields
• Newton diagram

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.

• 出版日期2011-11-15