Coupled flare attractors – a discrete prototype for economic modelling
A chaotic environment can give rise to “flares” if an autocatalytic variable responds in a multiplicative, threshold-type fashion to the environmental forcing. An “economic unit” similarly depends in its growth behavior on the unpredictable (chaotic?) buying habits of its customers, say. It turns ou...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Wiley
1999-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1026022699000047 |
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| _version_ | 1832549924268408832 |
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| author | Georg C. Hartmann Otto E. Rossler |
| author_facet | Georg C. Hartmann Otto E. Rossler |
| author_sort | Georg C. Hartmann |
| collection | DOAJ |
| description | A chaotic environment can give rise to “flares” if an autocatalytic variable responds in a multiplicative, threshold-type fashion to the environmental forcing. An “economic unit” similarly depends in its growth behavior on the unpredictable (chaotic?) buying habits of its customers, say. It turns out that coupled flare attractors are surprisingly robust in the sense that the resulting “economy” is largely independent of the extent of diffusive coupling used. Some simulations are presented. |
| format | Article |
| id | doaj-art-36e1df7c4bad4d809738fad9782f442a |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 1999-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-36e1df7c4bad4d809738fad9782f442a2025-02-03T06:08:13ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X1999-01-0131253210.1155/S1026022699000047Coupled flare attractors – a discrete prototype for economic modellingGeorg C. Hartmann0Otto E. Rossler1Division of Theoretical Chemistry, Auf der Morgenstelle 8, University of Tüibingen, Tübingen 72076, GermanyDivision of Theoretical Chemistry, Auf der Morgenstelle 8, University of Tüibingen, Tübingen 72076, GermanyA chaotic environment can give rise to “flares” if an autocatalytic variable responds in a multiplicative, threshold-type fashion to the environmental forcing. An “economic unit” similarly depends in its growth behavior on the unpredictable (chaotic?) buying habits of its customers, say. It turns out that coupled flare attractors are surprisingly robust in the sense that the resulting “economy” is largely independent of the extent of diffusive coupling used. Some simulations are presented.http://dx.doi.org/10.1155/S1026022699000047Mathematical economicsSingular-continuous-nowhere-differentiable attractorsKaplan–Yorke attractorsFlaresDiffusive coupling. |
| spellingShingle | Georg C. Hartmann Otto E. Rossler Coupled flare attractors – a discrete prototype for economic modelling Discrete Dynamics in Nature and Society Mathematical economics Singular-continuous-nowhere-differentiable attractors Kaplan–Yorke attractors Flares Diffusive coupling. |
| title | Coupled flare attractors – a discrete prototype for economic modelling |
| title_full | Coupled flare attractors – a discrete prototype for economic modelling |
| title_fullStr | Coupled flare attractors – a discrete prototype for economic modelling |
| title_full_unstemmed | Coupled flare attractors – a discrete prototype for economic modelling |
| title_short | Coupled flare attractors – a discrete prototype for economic modelling |
| title_sort | coupled flare attractors a discrete prototype for economic modelling |
| topic | Mathematical economics Singular-continuous-nowhere-differentiable attractors Kaplan–Yorke attractors Flares Diffusive coupling. |
| url | http://dx.doi.org/10.1155/S1026022699000047 |
| work_keys_str_mv | AT georgchartmann coupledflareattractorsadiscreteprototypeforeconomicmodelling AT ottoerossler coupledflareattractorsadiscreteprototypeforeconomicmodelling |