Synchronization patterns in rings of time-delayed Kuramoto oscillators
| Autor: | Bulcsú Sándor, Zoltán Néda, Károly Dénes |
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| Rok vydání: | 2021 |
| Předmět: |
Physics
Coupling Numerical Analysis Applied Mathematics Kuramoto model FOS: Physical sciences Pattern Formation and Solitons (nlin.PS) Computational Physics (physics.comp-ph) Nonlinear Sciences - Pattern Formation and Solitons 01 natural sciences Stability (probability) Symmetry (physics) 010305 fluids & plasmas Orders of magnitude (time) Modeling and Simulation 0103 physical sciences Statistical physics 010306 general physics Constant (mathematics) Physics - Computational Physics Dimensionless quantity Linear stability |
| Zdroj: | Communications in Nonlinear Science and Numerical Simulation. 93:105505 |
| ISSN: | 1007-5704 |
| DOI: | 10.1016/j.cnsns.2020.105505 |
| Popis: | Phase-locked states with a constant phase shift between the neighboring oscillators are studied in rings of identical Kuramoto oscillators with time-delayed nearest-neighbor coupling. The linear stability of these states is derived and it is found that the stability maps for the dimensionless equations show a high level of symmetry. The size of the attraction basins is numerically investigated. These sizes are changing periodically over several orders of magnitude as the parameters of the model are varied. Simple heuristic arguments are formulated to understand the changes in the attraction basin sizes and to predict the most probable states when the system is randomly initialized. Comment: 10 pages, 5 figures |
| Databáze: | OpenAIRE |
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