Active stabilization of a chaotic urban system
A new method to stabilize dynamical systems by forcing the system variables into the desired unstable stationary point is proposed. The key conception of the method is based on parametric perturbation. This means that the equations of motion are influenced by continuous variation of some selected pa...
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| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Wiley
1997-01-01
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| Series: | Discrete Dynamics in Nature and Society |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.1155/S1026022697000137 |
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| _version_ | 1832564841980624896 |
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| author | Günter Haag Tilo Hagel Timm Sigg |
| author_facet | Günter Haag Tilo Hagel Timm Sigg |
| author_sort | Günter Haag |
| collection | DOAJ |
| description | A new method to stabilize dynamical systems by forcing the system variables into the desired unstable stationary point is proposed. The key conception of the method is based on parametric perturbation. This means that the equations of motion are influenced by continuous variation of some selected parameters. Thus – without using any external forces – the motion of the system approaches the chosen unstable stationary point. The variation of the parameters will vanish after the successful stabilization. Therefore, the system and its parameters are changed during the control process only. The algorithm is applied to an urban system within a metropolitan area obeying a Lorenz-type dynamics as well as to the Hénon attractor as an example for a discrete scenario. |
| format | Article |
| id | doaj-art-a8e275575f604779a469a04fdbfb28f8 |
| institution | Kabale University |
| issn | 1026-0226 1607-887X |
| language | English |
| publishDate | 1997-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Discrete Dynamics in Nature and Society |
| spelling | doaj-art-a8e275575f604779a469a04fdbfb28f82025-02-03T01:10:01ZengWileyDiscrete Dynamics in Nature and Society1026-02261607-887X1997-01-011212713410.1155/S1026022697000137Active stabilization of a chaotic urban systemGünter Haag0Tilo Hagel1Timm Sigg2Institute of Theoretical Physics, University of Stuttgart, Pfaffenwaldring 57/III, Stuttgart D-70550, GermanyInstitute of Theoretical Physics, University of Stuttgart, Pfaffenwaldring 57/III, Stuttgart D-70550, GermanyInstitute of Theoretical Physics, University of Stuttgart, Pfaffenwaldring 57/III, Stuttgart D-70550, GermanyA new method to stabilize dynamical systems by forcing the system variables into the desired unstable stationary point is proposed. The key conception of the method is based on parametric perturbation. This means that the equations of motion are influenced by continuous variation of some selected parameters. Thus – without using any external forces – the motion of the system approaches the chosen unstable stationary point. The variation of the parameters will vanish after the successful stabilization. Therefore, the system and its parameters are changed during the control process only. The algorithm is applied to an urban system within a metropolitan area obeying a Lorenz-type dynamics as well as to the Hénon attractor as an example for a discrete scenario.http://dx.doi.org/10.1155/S1026022697000137ChaosStabilizationControlUrban systemTown. |
| spellingShingle | Günter Haag Tilo Hagel Timm Sigg Active stabilization of a chaotic urban system Discrete Dynamics in Nature and Society Chaos Stabilization Control Urban system Town. |
| title | Active stabilization of a chaotic urban system |
| title_full | Active stabilization of a chaotic urban system |
| title_fullStr | Active stabilization of a chaotic urban system |
| title_full_unstemmed | Active stabilization of a chaotic urban system |
| title_short | Active stabilization of a chaotic urban system |
| title_sort | active stabilization of a chaotic urban system |
| topic | Chaos Stabilization Control Urban system Town. |
| url | http://dx.doi.org/10.1155/S1026022697000137 |
| work_keys_str_mv | AT gunterhaag activestabilizationofachaoticurbansystem AT tilohagel activestabilizationofachaoticurbansystem AT timmsigg activestabilizationofachaoticurbansystem |