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

Access to Document

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

https://ddd.uab.cat/record/150416

Cite this

@article{53b3066ea1a0404795e87e1d46107912,

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.",

keywords = "Newton diagram, Topological index, Vector fields",

author = "Jaume Llibre and Radu Saghin",

year = "2011",

month = nov,

day = "15",

doi = "https://doi.org/10.1016/j.jde.2011.04.015",

language = "English",

volume = "251",

pages = "2822--2832",

journal = "Journal of Differential Equations",

issn = "0022-0396",

publisher = "Academic Press Inc.",

number = "10",

}

TY - JOUR

T1 - The index of singularities of vector fields and finite jets

AU - Llibre, Jaume

AU - Saghin, Radu

PY - 2011/11/15

Y1 - 2011/11/15

N2 - 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.

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

U2 - https://doi.org/10.1016/j.jde.2011.04.015

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

M3 - Article

VL - 251

SP - 2822

EP - 2832

JO - Journal of Differential Equations

JF - Journal of Differential Equations

SN - 0022-0396

IS - 10

ER -

The index of singularities of vector fields and finite jets

Abstract

Keywords

Access to Document

Fingerprint

Cite this