Coefficient criterion for four-dimensional Hopf bifurcations: a complete mathematical characterization and applications to economic dynamics

DOI10.1016/S0960-0779(02)00674-4zbMath1056.91051MaRDI QIDQ1433614

Toichiro Asada, Hiroyuki Yoshida

Publication date: 1 July 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

zbMATH Keywords

economic modelcyclic behaviour

Mathematics Subject Classification ID

Multisectoral models in economics (91B66) Bifurcation theory for ordinary differential equations (34C23) Economic growth models (91B62) Bifurcations of limit cycles and periodic orbits in dynamical systems (37G15) Dynamical systems in optimization and economics (37N40)

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Cites Work

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• Limit cycles in intertemporal adjustment models
• On the optimality of limit cycles in dynamic economic systems
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Criterion of Hopf bifurcations without using eigenvalues
• Kaldorian dynamics in an open economy
• Some New Results on the Dynamics of the Generalized Tobin Model
• Global Bifurcations of Periodic Orbits
• Cyclical and Noncyclical Redistributive Taxation

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