1990
DOI: 10.1080/00213624.1990.11505001
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Institutional Dynamics, Deterministic Chaos, and Self-Organizing Systems

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Cited by 86 publications
(39 citation statements)
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“…6 Figure 2 presents an example of such a chaotic strange attractor, in particular the Rössler (1976) attractor 7 that has been found in several economics models exhibiting chaotic dynamics (Goodwin, 1990;Radzicki, 1990), with x, y, and z possibly representing deviations from long-term trends of capital stock, GDP, and price level respectively. This pattern represents what might be an equilibrium trajectory in three variables in the sense that a deterministic system would follow it forever-if it ever got onto the path.…”
Section: Trade Cycle Model Savings Is a Linear Function Of Income ( Y)mentioning
confidence: 99%
“…6 Figure 2 presents an example of such a chaotic strange attractor, in particular the Rössler (1976) attractor 7 that has been found in several economics models exhibiting chaotic dynamics (Goodwin, 1990;Radzicki, 1990), with x, y, and z possibly representing deviations from long-term trends of capital stock, GDP, and price level respectively. This pattern represents what might be an equilibrium trajectory in three variables in the sense that a deterministic system would follow it forever-if it ever got onto the path.…”
Section: Trade Cycle Model Savings Is a Linear Function Of Income ( Y)mentioning
confidence: 99%
“…The feedback mechanisms of the CS with the dimension of three or more prevent the errors from growing to infinity. Instead, a CS can go through extremely complicated behavior where it "stretches and folds over onto itself, like a baker kneading dough" (Radzicki 1990). When mapped on the phase space, an abstract geometrical space representing states of the system in time, behavior of a CS could exhibit three different patterns.…”
Section: Conceptual Foundationsmentioning
confidence: 99%
“…Behavior of a system can be represented in terms of an attractor, which is a "set of points in the phase space of a dynamical feedback system that defines its steady state motion" (Radzicki 1990). Every attractor has a basin of attraction, or a set of points in the space of system variables that evolve to a particular attractor.…”
Section: Conceptual Foundationsmentioning
confidence: 99%
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“…In the next section we review the key issues in the theory of chaos. Since a number of comprehensive surveys of the economie applications of this theory in the last decade have been published recently (see Kelsey, 1988;Baumol and Benhabib, 1989;Boldrin and Woodford, 1991;Scheinkman, 1990;Radzicki, 1990;Rosser, 1991), our survey can be brief. However, we will illustrate the key issues by means of two models of economie development in discrete time.…”
Section: Introductionmentioning
confidence: 99%