Stability of The Synchronization Manifold in An All-To-All Time LAG- Diffusively Coupled Oscillators
we consider a lattice system of identical oscillators that are all coupled to one another with a diffusive coupling that has a time lag. We use the natural splitting of the system into synchronized manifold and transversal manifold to estimate the value of the time lag for which the stability of the...
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| Format: | Article |
| Language: | English |
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Sultan Qaboos University
2009-06-01
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| Series: | Sultan Qaboos University Journal for Science |
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| Online Access: | https://journals.squ.edu.om/index.php/squjs/article/view/358 |
| _version_ | 1811265475379724288 |
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| author | Adu A.M. Wasike |
| author_facet | Adu A.M. Wasike |
| author_sort | Adu A.M. Wasike |
| collection | DOAJ |
| description | we consider a lattice system of identical oscillators that are all coupled to one another with a diffusive coupling that has a time lag. We use the natural splitting of the system into synchronized manifold and transversal manifold to estimate the value of the time lag for which the stability of the system follows from that without a time lag. Each oscillator has a unique periodic solution that is attracting. |
| first_indexed | 2024-04-12T20:24:30Z |
| format | Article |
| id | doaj.art-047f0fb2d9064399898f6c7b96999af6 |
| institution | Directory Open Access Journal |
| issn | 1027-524X 2414-536X |
| language | English |
| last_indexed | 2024-04-12T20:24:30Z |
| publishDate | 2009-06-01 |
| publisher | Sultan Qaboos University |
| record_format | Article |
| series | Sultan Qaboos University Journal for Science |
| spelling | doaj.art-047f0fb2d9064399898f6c7b96999af62022-12-22T03:17:55ZengSultan Qaboos UniversitySultan Qaboos University Journal for Science1027-524X2414-536X2009-06-01140455110.24200/squjs.vol14iss0pp45-51357Stability of The Synchronization Manifold in An All-To-All Time LAG- Diffusively Coupled OscillatorsAdu A.M. Wasike0Department of Mathematics, Masinde Muliro University of Science and Technology, P.O.Box 190 Kakamega, Kenyawe consider a lattice system of identical oscillators that are all coupled to one another with a diffusive coupling that has a time lag. We use the natural splitting of the system into synchronized manifold and transversal manifold to estimate the value of the time lag for which the stability of the system follows from that without a time lag. Each oscillator has a unique periodic solution that is attracting.https://journals.squ.edu.om/index.php/squjs/article/view/358Exponential stability, Time lag, Gronwall's Inequality. |
| spellingShingle | Adu A.M. Wasike Stability of The Synchronization Manifold in An All-To-All Time LAG- Diffusively Coupled Oscillators Sultan Qaboos University Journal for Science Exponential stability, Time lag, Gronwall's Inequality. |
| title | Stability of The Synchronization Manifold in An All-To-All Time LAG- Diffusively Coupled Oscillators |
| title_full | Stability of The Synchronization Manifold in An All-To-All Time LAG- Diffusively Coupled Oscillators |
| title_fullStr | Stability of The Synchronization Manifold in An All-To-All Time LAG- Diffusively Coupled Oscillators |
| title_full_unstemmed | Stability of The Synchronization Manifold in An All-To-All Time LAG- Diffusively Coupled Oscillators |
| title_short | Stability of The Synchronization Manifold in An All-To-All Time LAG- Diffusively Coupled Oscillators |
| title_sort | stability of the synchronization manifold in an all to all time lag diffusively coupled oscillators |
| topic | Exponential stability, Time lag, Gronwall's Inequality. |
| url | https://journals.squ.edu.om/index.php/squjs/article/view/358 |
| work_keys_str_mv | AT aduamwasike stabilityofthesynchronizationmanifoldinanalltoalltimelagdiffusivelycoupledoscillators |