Goodwin's nonlinear accelerator and chaotic motion

DOI10.1007/BF01229472zbMath0633.90010OpenAlexW1979208642MaRDI QIDQ1096521

Hans-Walther Lorenz

Publication date: 1987

Published in: Journal of Economics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf01229472

zbMATH Keywords

chaotic motionbusiness cycleGoodwin modelstable limit cyclesirregular behaviorstrongly forced van der Pol oscillatorunstable closed orbits

Mathematics Subject Classification ID

Economic growth models (91B62)

Related Items (10)

Numerical scheme and dynamic analysis for variable-order fractional van der Pol model of nonlinear economic cycle ⋮ Time elements and oscillatory fluctuations in the Keynesian macroeconomic system ⋮ Delayed feedback on the dynamical model of a financial system ⋮ Goodwin’s business cycle model and synchronization of oscillations of two interacting economies ⋮ Chaos prediction and control of Goodwin's nonlinear accelerator model ⋮ Note on Goodwin's 1951 nonlinear accelerator model with an investment delay ⋮ U. S. and Canadian industrial production indices as coupled oscillators ⋮ On the existence of a duck solution in Goodwin's nonlinear business cycle model ⋮ Hopf bifurcation and chaos of a delayed finance system ⋮ Chaotic attractors, chaotic saddles, and fractal basin boundaries: Goodwin's nonlinear accelerator model reconsidered

Cites Work

• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• Dynamical Coupling with Especial Reference to Markets Having Production Lags
• The Nonlinear Accelerator and the Persistence of Business Cycles
• On Non-Linear Differential Equations of the Second Order: I. the Equation y¨ − k (1-y ² )y˙ + y = b λk cos(λl + α), k Large
• A second order differential equation with singular solutions

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