Some Applications of the Extended Bendixson-Dulac Theorem
Classical Analysis and ODEs
2013-05-16 v1
Abstract
During the last years the authors have studied the number of limit cycles of several families of planar vector fields. The common tool has been the use of an extended version of the celebrated Bendixson-Dulac Theorem. The aim of this work is to present an unified approach of some of these results, together with their corresponding proofs. We also provide several applications.
Keywords
Cite
@article{arxiv.1305.3402,
title = {Some Applications of the Extended Bendixson-Dulac Theorem},
author = {Armengol Gasull and Hector Giacomini},
journal= {arXiv preprint arXiv:1305.3402},
year = {2013}
}
Comments
19 pages, 3 figures