Chaos and complexity in a simple model of production dynamics
We consider complex dynamical behavior in a simple model of production dynamics, based on the Wiendahl’s funnel approach. In the case of continuous order flow a model of three parallel funnels reduces to the one-dimensional Bernoulli-type map, and demonstrates strong chaotic properties. The optimiz...
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| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Wiley
2000-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1026022600000510 |
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| _version_ | 1849304722699190272 |
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| author | I. Katzorke A. Pikovsky |
| author_facet | I. Katzorke A. Pikovsky |
| author_sort | I. Katzorke |
| collection | DOAJ |
| description | We consider complex dynamical behavior in a simple model of production dynamics, based on the Wiendahl’s funnel approach. In the case of continuous order flow a model of three parallel funnels reduces to the one-dimensional Bernoulli-type map, and
demonstrates strong chaotic properties. The optimization of production costs is possible with the OGY method of chaos control. The dynamics changes drastically in the case of discrete order flow. We discuss different dynamical behaviors, the complexity and the stability of this discrete system. |
| format | Article |
| id | doaj-art-3adedec420534f6e96ef0dff3f05c7f6 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 2000-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-3adedec420534f6e96ef0dff3f05c7f62025-08-20T03:55:40ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2000-01-015317918710.1155/S1026022600000510Chaos and complexity in a simple model of production dynamicsI. Katzorke0A. Pikovsky1Department of Physics, University of Potsdam, GermanyDepartment of Physics, University of Potsdam, GermanyWe consider complex dynamical behavior in a simple model of production dynamics, based on the Wiendahl’s funnel approach. In the case of continuous order flow a model of three parallel funnels reduces to the one-dimensional Bernoulli-type map, and demonstrates strong chaotic properties. The optimization of production costs is possible with the OGY method of chaos control. The dynamics changes drastically in the case of discrete order flow. We discuss different dynamical behaviors, the complexity and the stability of this discrete system.http://dx.doi.org/10.1155/S1026022600000510. |
| spellingShingle | I. Katzorke A. Pikovsky Chaos and complexity in a simple model of production dynamics Discrete Dynamics in Nature and Society . |
| title | Chaos and complexity in a simple model of production dynamics |
| title_full | Chaos and complexity in a simple model of production dynamics |
| title_fullStr | Chaos and complexity in a simple model of production dynamics |
| title_full_unstemmed | Chaos and complexity in a simple model of production dynamics |
| title_short | Chaos and complexity in a simple model of production dynamics |
| title_sort | chaos and complexity in a simple model of production dynamics |
| topic | . |
| url | http://dx.doi.org/10.1155/S1026022600000510 |
| work_keys_str_mv | AT ikatzorke chaosandcomplexityinasimplemodelofproductiondynamics AT apikovsky chaosandcomplexityinasimplemodelofproductiondynamics |