American Journal of Applied Sciences

A Generalization of the Modified Liouville Equation

José-Luis Rovira-Florián, Ana-Magnolia Marin-Ramirez and Ruben-Dario Ortiz-Ortiz

DOI : 10.3844/ajassp.2016.1326.1329

American Journal of Applied Sciences

Volume 13, Issue 11

Pages 1326-1329

Abstract

We study the modified Liouville equation using various transformations to build dynamical systems and we use Dulac's criterion for give sufficient conditions of the non-existence of periodic orbits in the dynamical systems generated of the modified Liouville equation.

Copyright

© 2016 José-Luis Rovira-Florián, Ana-Magnolia Marin-Ramirez and Ruben-Dario Ortiz-Ortiz. This is an open access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are credited.