The index of singularities of vector fields and finite jets

Jaume Llibre, Radu Saghin

Research output: Contribution to journalArticleResearchpeer-review

3 Citations (Scopus)

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 languageEnglish
Pages (from-to)2822-2832
JournalJournal of Differential Equations
Volume251
Issue number10
DOIs
Publication statusPublished - 15 Nov 2011

Keywords

  • Newton diagram
  • Topological index
  • Vector fields

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