2011
DOI: 10.1111/j.1467-6419.2010.00664.x
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Flexible Accelerator Economic Systems as Coupled Oscillators

Abstract: In this paper, the capacity of a particular type of a formal theoretical model to generate-compute non-trivial economic dynamics is studied. The model chosen is the flexible accelerator and the classification of the attractors is made in terms of Wolfram four classes. The model at the origins of mathematical business cycle theories (Frisch, 1933) generates class 1 limit points. The model by Goodwin (1951) generates class 2 limit cycles. We construct a class 3 basin of attraction, strange attractors, by couplin… Show more

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Cited by 16 publications
(3 citation statements)
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“…One of us (see Zambelli, 2011) has attempted to resolve dynamic perplexities by structured simulation studies, in close combination with established macrodynamic and interindustrial economics, formalised computably.…”
Section: Simulation and Computation In Economicsmentioning
confidence: 99%
“…One of us (see Zambelli, 2011) has attempted to resolve dynamic perplexities by structured simulation studies, in close combination with established macrodynamic and interindustrial economics, formalised computably.…”
Section: Simulation and Computation In Economicsmentioning
confidence: 99%
“…For this reason, as for other dynamics systems such as Cellular Automata (CA) [10], clusters of interacting nonlinear oscillators are a useful model for studying the behavior of real complex systems in many branches of science and technology with a wide variety of significant applications. Examples are the collective output of arrays of lasers [26,45], chemical reactors [31,44], Josephson junctions [16,25], economic [47] and ecological systems [13]. Moreover, groups of self-excited interacting oscillators are frequently encountered in many living systems [37], and studies on the cooperative behavior of coupled oscillators have a great potential to contribute to understanding various rhythmic phenomena of biological systems such as, for example, the rhythmic activity of the cardiac and nervous systems or the neuronal oscillations in the brain [33,14,46,24].…”
Section: Introductionmentioning
confidence: 99%
“…ZAMBELLI [1] and CREPIN.A.S [2] introduced the coupling theory to study the coordination degree between subsystems. Shuai Bin et al [3] divided China regional economy into three types through studying coupling relationship between regional economy and the railway development.…”
Section: Introductionmentioning
confidence: 99%