Complete coefficient criteria for five-dimensional Hopf bifurcations, with an application to economic dynamics

DOI10.1155/2015/278234zbMath1374.34130OpenAlexW1490755365WikidataQ59113067 ScholiaQ59113067MaRDI QIDQ1679941

Panagiotis Markellos, Christos N. Douskos

Publication date: 22 November 2017

Published in: Journal of Nonlinear Dynamics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2015/278234

Mathematics Subject Classification ID

Macroeconomic theory (monetary models, models of taxation) (91B64) Bifurcation theory for ordinary differential equations (34C23)

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Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Remarks on the economic interpretation of Hopf bifurcations
• Criterion of Hopf bifurcations without using eigenvalues
• Coefficient criterion for four-dimensional Hopf bifurcations: a complete mathematical characterization and applications to economic dynamics
• Nonlinear Phillips curves, complex dynamics and monetary policy in a Keynesian macro model
• Kaldorian dynamics in an open economy