A Generalization of the Modified Liouville Equation
- 1 Faculty of Exact and Natural Sciences, University of Cartagena, Cartagena de Indias, Colombia
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.
DOI: https://doi.org/10.3844/ajassp.2016.1326.1329
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.
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Keywords
- Modified Liouville Equation
- Dulac Functions
- Bendixson-Dulac Criterion
- Periodic Orbits