Stable, cyclic and chaotic growth: The dynamics of a discrete-time version of Goodwin's growth cycle model

1981 ◽  
Vol 41 (1-2) ◽  
pp. 27-38 ◽  
Author(s):  
Matti T. Pohjola
Keyword(s):  
Discrete Time ◽  
Growth Cycle ◽  
Cycle Model ◽  
Chaotic Growth

scholarly journals A growth-cycle model of Solow–Swan type, I

2010 ◽  
Vol 76 (2) ◽  
pp. 428-444 ◽  
Author(s):  
Akitaka Dohtani
Keyword(s):  
Growth Cycle ◽  
Type I ◽  
Cycle Model

A Generalized Approach for the Modeling of Goodwin-Type Cycles

2016 ◽  
Vol 16 (4) ◽  
Author(s):  
Matteo Madotto ◽  
Marcellino Gaudenzi ◽  
Fabio Zanolin
Keyword(s):  
Recent Literature ◽  
Growth Cycle ◽  
Qualitative Behavior ◽  
Necessary And Sufficient Condition ◽  
Cycle Model ◽  
Small Perturbations ◽  
Essential Requirement ◽  
New Approach ◽  
All Solutions ◽  
Necessary And Sufficient

AbstractGoodwin’s celebrated growth cycle model has been widely studied since its introduction in 1967. In recent years several contributions have appeared with the aim of amending the original model so as to improve its economic coherence and enrich its structure. In this article we propose a new and generalized approach, within the theory of planar Hamiltonian systems, for the modeling of Goodwin-type cycles. This new approach, which includes and improves various attempts by the recent literature, is very general and fulfills the essential requirement that the orbits lie entirely in the economically feasible interval. We provide a necessary and sufficient condition for all solutions to be cycles lying entirely in the unit box. In addition, we study the period length of the cycles near the equilibrium and close to the boundary of the domain. Finally, we discuss an example of how small perturbations of the model may affect the qualitative behavior of the solutions.

scholarly journals Some new insights on the empirics of Goodwin's growth-cycle model

2019 ◽  
Vol 51 ◽  
pp. 42-54 ◽  
Author(s):  
Ricardo Azevedo Araujo ◽  
Marwil J. Dávila-Fernández ◽  
Helmar Nunes Moreira
Keyword(s):  
Growth Cycle ◽  
Cycle Model

scholarly journals Model Reference Control for an Economic Growth Cycle Model

2012 ◽  
Vol 2012 ◽  
pp. 1-13 ◽  
Author(s):  
Pengfei Zhao ◽  
Cai Liu ◽  
Xuan Feng
Keyword(s):  
National Income ◽  
Growth Cycle ◽  
Economic Policies ◽  
Cycle Model ◽  
Model Reference ◽  
Model Reference Control ◽  
Economic Control ◽  
Economic Union ◽  
High Level ◽  
Goodwin Growth Cycle

A useful method in intelligent engineering, called model reference control (MRC), is applied in an economic control problem. The authors review the main framework of MRC and Goodwin growth cycle (GGC) model between two countries and drive the employment rate to be approximate stable in a high level by controlling the workers' share in the national income automatically. It is very helpful to constitute economic policies for a country or an economic union.

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