Volume no :22, Issue no: 1, July

A STUDY OF A VAN DER POL EQUATION

Author's: A. M. MARIN, R. D. ORTIZ and J. A. RODRIGUEZ
Pages: [39] - [43]
Received Date: July 25, 2013
Submitted by:

Abstract

In this paper, we make a study of a dynamical system on the plane without periodic orbits in a domain on the plane. We use a Gasull’s result and Dulac’s criterion that give sufficient conditions for the non-existence of periodic orbits of dynamical systems in simply connected regions of the plane.

Keywords

Dulac functions, quasilinear partial differential equations, Bendixson-Dulac criterion.