The index of singularities of vector fields and finite jets

Jaume Llibre; Radu Saghin

doi:https://doi.org/10.1016/j.jde.2011.04.015

The index of singularities of vector fields and finite jets

Jaume Llibre, Radu Saghin

Department of Mathematics

Research output: Contribution to journal › Article › Research › peer-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 language	English
Pages (from-to)	2822-2832
Journal	Journal of Differential Equations
Volume	251
Issue number	10
DOIs	https://doi.org/10.1016/j.jde.2011.04.015
Publication status	Published - 15 Nov 2011

Keywords

Newton diagram
Topological index
Vector fields

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title = "The index of singularities of vector fields and finite jets",

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. {\textcopyright} 2011 Elsevier Inc.",

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author = "Jaume Llibre and Radu Saghin",

year = "2011",

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AU - Saghin, Radu

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AB - 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.

KW - Newton diagram

KW - Topological index

KW - Vector fields

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