Hicks' trade cycle revisited: cycles and bifurcations.

DOI10.1016/S0378-4754(03)00060-0zbMath1060.91095OpenAlexW1971772978MaRDI QIDQ1418581

D. Massart

Publication date: 14 January 2004

Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0378-4754(03)00060-0

zbMATH Keywords

Bifurcation diagramBusiness cycle modelsPiecewise-linear mapsTongues of periodicity

Mathematics Subject Classification ID

Trade models (91B60) Economic growth models (91B62)

Related Items (21)

Tongues of periodicity in a family of two-dimensional discontinuous maps of real Möbius type ⋮ Revisiting the business cycle model with cubic nonlinear investment function ⋮ Quasiperiodicity and torus breakdown in a power electronic dc/dc converter ⋮ The unique limit cycle in post Keynesian theory ⋮ Time elements and oscillatory fluctuations in the Keynesian macroeconomic system ⋮ CENTER BIFURCATION FOR TWO-DIMENSIONAL BORDER-COLLISION NORMAL FORM ⋮ Border-collision bifurcations and Arnol'd tongues in two coupled piecewise-constant oscillators ⋮ On the change of periodicities in the Hicksian multiplier-accelerator model with a consumption floor ⋮ The Hicksian trade cycle with floor and ceiling dependent on capital stock ⋮ Stochastic stability and bifurcation in a macroeconomic model ⋮ Birth of bilayered torus and torus breakdown in a piecewise-smooth dynamical system ⋮ DEGENERATE BIFURCATIONS AND BORDER COLLISIONS IN PIECEWISE SMOOTH 1D AND 2D MAPS ⋮ Cournot duopoly when the competitors operate multiple production plants ⋮ Stability and Hopf bifurcation analysis on a nonlinear business cycle model ⋮ Excluding chaos by regularizing a macro model with Hicksian nonlinearity ⋮ Stability and Hopf bifurcations in a business cycle model with delay ⋮ Border-Collision Bifurcations in $\mathbb{R}^N$ ⋮ Dynamics of a business cycle model with two types of governmental expenditures: the role of border collision bifurcations ⋮ A Nonsmooth Extension of Samuelson’s Multiplier-Accelerator Model ⋮ Periodic Cycles and Bifurcation Curves for One-Dimensional Maps with Two Discontinuities ⋮ PERIOD ADDING IN PIECEWISE LINEAR MAPS WITH TWO DISCONTINUITIES

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• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
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• Non-chaotic oscillations in some regularized Hicks models -- A restatement of the ceiling and floor conditions
• Border-collision bifurcations including ``period two to period three for piecewise smooth systems
• Periodic, almost periodic and chaotic behaviour in Hicks' nonlinear trade cycle model
• A business cycle model with cubic nonlinearity
• The Hicksian floor-roof model for two regions linked by interregional trade
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• BIFURCATIONS OF ATTRACTING CYCLES FROM TIME-DELAYED CHUA’S CIRCUIT
• BORDER-COLLISION BIFURCATIONS FOR PIECEWISE SMOOTH ONE-DIMENSIONAL MAPS
• CYCLES OF CHAOTIC INTERVALS IN A TIME-DELAYED CHUA'S CIRCUIT
• PROPERTIES OF THE INVARIANT DISK PACKING IN A MODEL BANDPASS SIGMA–DELTA MODULATOR
• Synthesis of nonlinear multiport resistors: a PWL approach
• BORDER-COLLISION BIFURCATIONS AND CHAOTIC OSCILLATIONS IN A PIECEWISE-SMOOTH DYNAMICAL SYSTEM

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