Complete Coefficient Criteria for Five-Dimensional Hopf Bifurcations, with an Application to Economic Dynamics. (3rd August 2015)

• Record Type: Journal Article
• Authors: Douskos, Christos; Markellos, Panagiotis
• Other Names: Ghosh Dibakar Academic Editor.
• Is Part Of: Journal of nonlinear dynamics. Volume 2015(2015)
• Publication Date: 2015-08-03
• Subjects: Nonlinear theories -- Periodicals; Dynamics -- Periodicals; Dynamics; Nonlinear theories; Periodicals; 531.11
• DOI: 10.1155/2015/278234
• Languages: English
• ISSNs: 2356-7503

Abstract

Abstract : Paper presents a complete mathematical characterization of coefficient criteria for five-dimensional Hopf bifurcations and an example of the application of these criteria to a model of economic dynamics. The application illustrates that the proposed criteria are practical and useful in determining the existence or nonexistence of Hopf bifurcations of five-dimensional dynamical systems in entire ranges of the system's parameters.