International Mathematical Forum, Vol. 8, 2013, no. 35, 1723 - 1726 HIKARI Ltd, www.m-hikari.com http://dx.doi.org/10.12988/imf.2013.39173 A Generalization of Van der Pol Equation Ana-Magnolia Marin-Ramirez Faculty of Exact and Natural Sciences University of Cartagena, Sede Piedra de Bolivar Avenue of Consulado, Cartagena de Indias Bolivar, Colombia amarinr@unicartagena.edu.co Ruben-Dario Ortiz-Ortiz Faculty of Exact and Natural Sciences University of Cartagena, Sede Piedra de Bolivar Avenue of Consulado, Cartagena de Indias Bolivar, Colombia rortizo@unicartagena.edu.co Joel-Arturo Rodriguez-Ceballos Morelia Institute of Technology, Morelia Mexico joel@ifm.umich.mx Copyright c  2013 Ana-Magnolia Marin-Ramirez, Ruben-Dario Ortiz-Ortiz and Joel- Arturo Rodriguez-Ceballos. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduc- tion in any medium, provided the original work is properly cited. Abstract In this paper we make an analysis of a generalization of van der Pol equation without periodic orbits in a domain on the plane. We use a Gasull’s result and Dulac’s criterion. Mathematics Subject Classiﬁcation: 34A34 Keywords: Dulac functions, Quasilinear partial diﬀerential equations, Bendixon–Dulac criterion