Zero-Hopf bifurcation analysis of a Kaldor-Kalecki model of business cycle with delay

DOI10.1016/j.nonrwa.2011.08.013zbMath1238.91105OpenAlexW2007548162MaRDI QIDQ420106

Xiaoqin P. Wu

Publication date: 20 May 2012

Published in: Nonlinear Analysis. Real World Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.nonrwa.2011.08.013

zbMATH Keywords

normal formsaddle-nodeKaldor-Kalecki model of business cyclepitchfork and Hopf bifurcationszero-Hopf singularity

Mathematics Subject Classification ID

Macroeconomic theory (monetary models, models of taxation) (91B64) Dynamical systems in optimization and economics (37N40) Bifurcation theory of functional-differential equations (34K18) Economic dynamics (91B55)

Related Items

Stability and bifurcation analysis for the Kaldor-Kalecki model with a discrete delay and a distributed delay ⋮ A generalized business cycle model with delays in gross product and capital stock ⋮ Bistability of equilibria and the 2-tori dynamics in an endogenous growth model undergoing the cusp-Hopf singularity ⋮ Unnamed Item ⋮ Bifurcation analysis for the Kaldor-Kalecki model with two delays ⋮ Zero-Hopf bifurcation analysis in delayed differential equations with two delays ⋮ Dynamic analysis for a Kaldor-Kalecki model of business cycle with time delay and diffusion effect ⋮ Stability and Hopf bifurcation for a business cycle model with expectation and delay ⋮ Switching to Nonhyperbolic Cycles from Codimension Two Bifurcations of Equilibria of Delay Differential Equations

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Codimension-2 bifurcations of the Kaldor model of business cycle
• Simple-zero and double-zero singularities of a Kaldor-Kalecki model of business cycles with delay
• Stability analysis of the Kaldor model with time delays: monetary policy and government budget constraint
• The Kaldor-Kalecki business cycle model
• Normal forms for retarded functional differential equations with parameters and applications to Hopf bifurcation
• Normal forms for retarded functional differential equations and applications to Bogdanov-Takens singularity
• Multi-parameter bifurcations of the Kaldor-Kalecki model of business cycles with delay
• WAGE POLICY IN AN OPEN-ECONOMY KALECKI-KALDOR MODEL: A SIMULATION STUDY
• The Existence and Persistence of Cycles in a Non-linear Model: Kaldor's 1940 Model Re-examined
• Elements of applied bifurcation theory