A business-cycle model connecting heterogeneous micro investment behaviors with macro dynamics

DOI10.1016/j.cnsns.2022.106903OpenAlexW4298009259MaRDI QIDQ2108638

Akitaka Dohtani, Jun Matsuyama

Publication date: 20 December 2022

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2022.106903

zbMATH Keywords

business cyclesPoincaré-Bendixson theoremgeneralized Hopf bifurcationanimal spiritsnonlinear investment functiondensity and distribution functions

Mathematics Subject Classification ID

Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Bifurcation theory for ordinary differential equations (34C23) Microeconomic theory (price theory and economic markets) (91B24) Stability of solutions to ordinary differential equations (34D20) Qualitative investigation and simulation of ordinary differential equation models (34C60) Asymptotic properties of solutions to ordinary differential equations (34D05)

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Business cycle theory. A survey of methods and concepts.
• Stability, Instability and Chaos
• Numerical Methods for the Generalized Hopf Bifurcation
• The General Theory of Employment, Interest, and Money
• The Existence and Persistence of Cycles in a Non-linear Model: Kaldor's 1940 Model Re-examined
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