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ISSN: 1546-9239 (Print)
ISSN: 1554-3641 (Online)
Research Article Open Access

A Generalization of the Modified Liouville Equation

José-Luis Rovira-Florián1, Ana-Magnolia Marin-Ramirez1 and Ruben-Dario Ortiz-Ortiz1
  • 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.

American Journal of Applied Sciences
Volume 13 No. 11, 2016, 1326-1329

DOI: https://doi.org/10.3844/ajassp.2016.1326.1329

Submitted On: 18 May 2016 Published On: 28 November 2016

How to Cite: Rovira-Florián, J., Marin-Ramirez, A. & Ortiz-Ortiz, R. (2016). A Generalization of the Modified Liouville Equation. American Journal of Applied Sciences, 13(11), 1326-1329. https://doi.org/10.3844/ajassp.2016.1326.1329

Open AccessCopyright: © 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