@article{b8d31b5067a64503ba0b0f1229671b37,
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.",
keywords = "Newton diagram, Topological index, Vector fields",
author = "Jaume Llibre and Radu Saghin",
note = "Funding Information: The first author has been supported by the grants MCI/FEDER grant number MTM 2008-03437, CICYT grant number 2009-SGR410 and by ICREA Academia. The second author has been supported by Marie Curie IEF grant number 234559, and would like to thank CRM Barcelona for their hospitality.",
year = "2011",
month = nov,
day = "15",
doi = "10.1016/j.jde.2011.04.015",
language = "English",
volume = "251",
pages = "2822--2832",
journal = "Journal of Differential Equations",
issn = "0022-0396",
number = "10",
}