Complex dynamics in a simple model of interdependent open economies
Based on a simple two-market model, characterized by a demand link between competitive markets for goods, a system of coupled difference equations is used to represent the interdependent structure of a global economy. Relying on numerical and analytical approaches, Various dynamic properties of the...
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| Format: | Article |
| Language: | English |
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Wiley
2000-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1155/S1026022600000509 |
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| _version_ | 1832562080046120960 |
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| author | Shahriar Yousef Yuri Maistrenko Svitlana Popovych |
| author_facet | Shahriar Yousef Yuri Maistrenko Svitlana Popovych |
| author_sort | Shahriar Yousef |
| collection | DOAJ |
| description | Based on a simple two-market model, characterized by a demand link between competitive markets for goods, a system of coupled difference equations is used to represent the interdependent structure of a global economy. Relying on numerical and
analytical approaches, Various dynamic properties of the proposed model are explored. Among others, a general specification of the regions of stability of the equilibrium and main periodic cycles, the transition to chaos through torus destruction, chaotic synchronization, and the coexistence of different types of attractors in parameter space are described. Typical bifurcation processes are illustrated. |
| format | Article |
| id | doaj-art-d5f73596bf75415d90dcc0ad2a0e361e |
| 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-d5f73596bf75415d90dcc0ad2a0e361e2025-02-03T01:23:29ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X2000-01-015316117710.1155/S1026022600000509Complex dynamics in a simple model of interdependent open economiesShahriar Yousef0Yuri Maistrenko1Svitlana Popovych2The Econometric Group, Department of Statistics and Demography, University of Southern Denmark, Main Campus, Odense University, Campusvej 55, Odense M 5230, DenmarkInstitute of Mathematics, National Academy of Sciences of Ukraine, Tereschenkivska St. 3, Kiev 252601, UkraineInstitute of Mathematics, National Academy of Sciences of Ukraine, Tereschenkivska St. 3, Kiev 252601, UkraineBased on a simple two-market model, characterized by a demand link between competitive markets for goods, a system of coupled difference equations is used to represent the interdependent structure of a global economy. Relying on numerical and analytical approaches, Various dynamic properties of the proposed model are explored. Among others, a general specification of the regions of stability of the equilibrium and main periodic cycles, the transition to chaos through torus destruction, chaotic synchronization, and the coexistence of different types of attractors in parameter space are described. Typical bifurcation processes are illustrated.http://dx.doi.org/10.1155/S1026022600000509Competitive two-market model; Stability; Bifurcation; Coexistence of attractors. |
| spellingShingle | Shahriar Yousef Yuri Maistrenko Svitlana Popovych Complex dynamics in a simple model of interdependent open economies Discrete Dynamics in Nature and Society Competitive two-market model; Stability; Bifurcation; Coexistence of attractors. |
| title | Complex dynamics in a simple model of interdependent open economies |
| title_full | Complex dynamics in a simple model of interdependent open economies |
| title_fullStr | Complex dynamics in a simple model of interdependent open economies |
| title_full_unstemmed | Complex dynamics in a simple model of interdependent open economies |
| title_short | Complex dynamics in a simple model of interdependent open economies |
| title_sort | complex dynamics in a simple model of interdependent open economies |
| topic | Competitive two-market model; Stability; Bifurcation; Coexistence of attractors. |
| url | http://dx.doi.org/10.1155/S1026022600000509 |
| work_keys_str_mv | AT shahriaryousef complexdynamicsinasimplemodelofinterdependentopeneconomies AT yurimaistrenko complexdynamicsinasimplemodelofinterdependentopeneconomies AT svitlanapopovych complexdynamicsinasimplemodelofinterdependentopeneconomies |