Singularity analysis in planar vector fields

摘要

The aim of singularity analysis is to build local solutions around their singularities in the complex time. Integrability properties or the existence of particular solutions follow from the detailed analysis of the series expansions of the local solutions once they are constructed. In this work we made a survey of the most important results of the singularity analysis which we apply to planar vector fields. (C) 2014 AIP Publishing LLC.