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 |
Published: |
Sultan Qaboos University
2009-06-01
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Series: | Sultan Qaboos University Journal for Science |
Subjects: | |
Online Access: | https://journals.squ.edu.om/index.php/squjs/article/view/358 |
Summary: | 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. |
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ISSN: | 1027-524X 2414-536X |