Nonlinear feedback control of spatiotemporal chaos in coupled map lattices
We describe a nonlinear feedback functional method for study both of control and synchronization of spatiotemporal chaos. The method is illustrated by the coupled map lattices with five different connection forms. A key issue addressed is to find nonlinear feedback functions. Two large types of no...
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| Format: | Article |
| Language: | English |
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Wiley
1998-01-01
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| Series: | Discrete Dynamics in Nature and Society |
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| Online Access: | http://dx.doi.org/10.1155/S1026022697000289 |
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| _version_ | 1850106727446347776 |
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| author | Jin-Qing Fang M. K. Ali |
| author_facet | Jin-Qing Fang M. K. Ali |
| author_sort | Jin-Qing Fang |
| collection | DOAJ |
| description | We describe a nonlinear feedback functional method for study both of control and synchronization of spatiotemporal chaos. The method is illustrated by the coupled map
lattices with five different connection forms. A key issue addressed is to find nonlinear
feedback functions. Two large types of nonlinear feedback functions are introduced. The
efficient and robustness of the method based on the flexibility of choices of nonlinear
feedback functions are discussed. Various numerical results of nonlinear control are
given. We have not found any difficulty for study both of control and synchronization
using nonlinear feedback functional method. The method can also be extended to time
continuous dynamical systems as well as to society problems. |
| format | Article |
| id | doaj-art-4e1c94c680cc4c998baed0b422d82099 |
| institution | OA Journals |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 1998-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-4e1c94c680cc4c998baed0b422d820992025-08-20T02:38:46ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X1998-01-011428330510.1155/S1026022697000289Nonlinear feedback control of spatiotemporal chaos in coupled map latticesJin-Qing Fang0M. K. Ali1China Institute of Atomic Energy, P.O. Box 275-27, Beijing 102413, ChinaDepartment of Physics, The University of Lethbridge, Alberta, Lethbridge T1K 3M4, CanadaWe describe a nonlinear feedback functional method for study both of control and synchronization of spatiotemporal chaos. The method is illustrated by the coupled map lattices with five different connection forms. A key issue addressed is to find nonlinear feedback functions. Two large types of nonlinear feedback functions are introduced. The efficient and robustness of the method based on the flexibility of choices of nonlinear feedback functions are discussed. Various numerical results of nonlinear control are given. We have not found any difficulty for study both of control and synchronization using nonlinear feedback functional method. The method can also be extended to time continuous dynamical systems as well as to society problems.http://dx.doi.org/10.1155/S1026022697000289ChaosControlSynchronizationFeedbackNonlinearSpatiotemporalCoupledMapLattice. |
| spellingShingle | Jin-Qing Fang M. K. Ali Nonlinear feedback control of spatiotemporal chaos in coupled map lattices Discrete Dynamics in Nature and Society Chaos Control Synchronization Feedback Nonlinear Spatiotemporal Coupled Map Lattice. |
| title | Nonlinear feedback control of spatiotemporal chaos in coupled map lattices |
| title_full | Nonlinear feedback control of spatiotemporal chaos in coupled map lattices |
| title_fullStr | Nonlinear feedback control of spatiotemporal chaos in coupled map lattices |
| title_full_unstemmed | Nonlinear feedback control of spatiotemporal chaos in coupled map lattices |
| title_short | Nonlinear feedback control of spatiotemporal chaos in coupled map lattices |
| title_sort | nonlinear feedback control of spatiotemporal chaos in coupled map lattices |
| topic | Chaos Control Synchronization Feedback Nonlinear Spatiotemporal Coupled Map Lattice. |
| url | http://dx.doi.org/10.1155/S1026022697000289 |
| work_keys_str_mv | AT jinqingfang nonlinearfeedbackcontrolofspatiotemporalchaosincoupledmaplattices AT mkali nonlinearfeedbackcontrolofspatiotemporalchaosincoupledmaplattices |