Maximum number of periodic solutions of certain differential equations

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dc.contributor.authorAbdallah , Brik
dc.contributor.authorAmel, Boulfoul
dc.date.accessioned2025-12-16T08:25:00Z
dc.date.available2025-12-16T08:25:00Z
dc.date.issued2024
dc.description.abstractThis thesis investigates the dynamics of periodic solutions and bifurcations in nonlinear dynamical systems. We use averaging theory to study the maximum number of isolated periodic solutions (i.e. limit cycles) in a second-order differential system. Also, using the same theory we examine zero-Hopf bifurcation for finding periodic solutions in a modified hyperchaotic Chen system and a three-dimensional Kolmogorov system. Through these studies, we demonstrate the emergence of limit cycles and establish conditions for their existence. We provide numerical examples to illustrate our results
dc.identifier.urihttp://dspace.univ-skikda.dz:4000/handle/123456789/5593
dc.language.isoen
dc.publisherUniversity 20 Aout 1955-Skikda
dc.subjectperiodic solutions/differential equations
dc.titleMaximum number of periodic solutions of certain differential equations
dc.typeThesis
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