Authors : Ana-Magnolia Marin-Ramirez, Ruben-Dario Ortiz-Ortiz and Cristian-Fabian Baron-Pertuz
Abstract: In this study, we find Dulac functions for a quasi-homogeneous polynomial gradient system and several systems. Using quasi-homogeneous polynomial system theory, we prove non-existence of periodic orbits at the first quadrant on the plane for a gradient system.
Ana-Magnolia Marin-Ramirez, Ruben-Dario Ortiz-Ortiz and Cristian-Fabian Baron-Pertuz, 2017. A Generalization of a Quasi-Homogeneous Polynomial Gradient System. Journal of Engineering and Applied Sciences, 12: 8417-8420.