Complete Coefficient Criteria for Five-Dimensional Hopf Bifurcations, with an Application to Economic Dynamics | Zendy

Christos Douskos | Zendy; Panagiotis Markellos | Zendy

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Complete Coefficient Criteria for Five-Dimensional Hopf Bifurcations, with an Application to Economic Dynamics

Author(s) -

Christos Douskos,

Panagiotis Markellos

Publication year - 2015

Publication title -

journal of nonlinear dynamics

Language(s) - English

Resource type - Journals

eISSN - 2356-7503

pISSN - 2314-6893

DOI - 10.1155/2015/278234

Subject(s) - hopf bifurcation , mathematics , dynamics (music) , characterization (materials science) , mathematical analysis , bifurcation , nonlinear system , physics , quantum mechanics , acoustics , optics

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

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