2 results for “Dulac’s criterion”

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Research ArticleOpen accessIn the keywordsA Generalization of the Modified Liouville EquationJosé-Luis Rovira-Florián, Ana-Magnolia Marin-Ramirez, Ruben-Dario Ortiz-OrtizWe 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, Vol. 13, Issue 11 · 28 Nov 2016 · 7,018 accessesView PDF Cite

Research ArticleOpen accessIn the keywordsThe Possibility of Cyclical Behavior in a Class of Dynamic ModelsAnjan MukherjiThe study investigates conditions under which endogenous cyclic behavior may be observed within the context of Predator-Prey (Lotka-Volterra) Models. The analysis also establishes conditions under which such behavior is non-existent and hence establishes conditions for global convergence to the interior equilibrium, whenever it exists. The results are then applied to two diverse sets of economic exercises and shows how the … …American Journal of Applied Sciences, Vol. 2, Issue 13 · 9 Dec 2005 · 7,600 accessesView PDF Cite