The index of singularities of vector fields and finite jets

Jaume Llibre, RADU SAGHIN

Research output: Contribution to journalArticlepeer-review

3 Scopus citations

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.

Original languageEnglish
Pages (from-to)2822-2832
Number of pages11
JournalJournal of Differential Equations
Volume251
Issue number10
DOIs
StatePublished - 15 Nov 2011

Keywords

  • Newton diagram
  • Topological index
  • Vector fields

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