Collective modes of coupled phase oscillators with delayed coupling
We study the effects of delayed coupling on timing and pattern formation in spatially extended systems of dynamic oscillators. Starting from a discrete lattice of coupled oscillators, we derive a generic continuum theory for collective modes of long wavelengths. We use this approach to study spatial...
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2012
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| Acceso en línea: | https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v108_n20_p_Ares http://hdl.handle.net/20.500.12110/paper_00319007_v108_n20_p_Ares |
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paper:paper_00319007_v108_n20_p_Ares2023-06-08T14:58:00Z Collective modes of coupled phase oscillators with delayed coupling Collective modes Continuum theory Coupled oscillators Coupled phase oscillators Coupling delays Discrete lattices Long wavelength Moving boundary conditions Pattern formation Phase profile Spatially extended systems Wave patterns Atomic physics Physics Continuum mechanics We study the effects of delayed coupling on timing and pattern formation in spatially extended systems of dynamic oscillators. Starting from a discrete lattice of coupled oscillators, we derive a generic continuum theory for collective modes of long wavelengths. We use this approach to study spatial phase profiles of cellular oscillators in the segmentation clock, a dynamic patterning system of vertebrate embryos. Collective wave patterns result from the interplay of coupling delays and moving boundary conditions. We show that the phase profiles of collective modes depend on coupling delays. © 2012 American Physical Society. 2012 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v108_n20_p_Ares http://hdl.handle.net/20.500.12110/paper_00319007_v108_n20_p_Ares |
| institution |
Universidad de Buenos Aires |
| institution_str |
I-28 |
| repository_str |
R-134 |
| collection |
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) |
| topic |
Collective modes Continuum theory Coupled oscillators Coupled phase oscillators Coupling delays Discrete lattices Long wavelength Moving boundary conditions Pattern formation Phase profile Spatially extended systems Wave patterns Atomic physics Physics Continuum mechanics |
| spellingShingle |
Collective modes Continuum theory Coupled oscillators Coupled phase oscillators Coupling delays Discrete lattices Long wavelength Moving boundary conditions Pattern formation Phase profile Spatially extended systems Wave patterns Atomic physics Physics Continuum mechanics Collective modes of coupled phase oscillators with delayed coupling |
| topic_facet |
Collective modes Continuum theory Coupled oscillators Coupled phase oscillators Coupling delays Discrete lattices Long wavelength Moving boundary conditions Pattern formation Phase profile Spatially extended systems Wave patterns Atomic physics Physics Continuum mechanics |
| description |
We study the effects of delayed coupling on timing and pattern formation in spatially extended systems of dynamic oscillators. Starting from a discrete lattice of coupled oscillators, we derive a generic continuum theory for collective modes of long wavelengths. We use this approach to study spatial phase profiles of cellular oscillators in the segmentation clock, a dynamic patterning system of vertebrate embryos. Collective wave patterns result from the interplay of coupling delays and moving boundary conditions. We show that the phase profiles of collective modes depend on coupling delays. © 2012 American Physical Society. |
| title |
Collective modes of coupled phase oscillators with delayed coupling |
| title_short |
Collective modes of coupled phase oscillators with delayed coupling |
| title_full |
Collective modes of coupled phase oscillators with delayed coupling |
| title_fullStr |
Collective modes of coupled phase oscillators with delayed coupling |
| title_full_unstemmed |
Collective modes of coupled phase oscillators with delayed coupling |
| title_sort |
collective modes of coupled phase oscillators with delayed coupling |
| publishDate |
2012 |
| url |
https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v108_n20_p_Ares http://hdl.handle.net/20.500.12110/paper_00319007_v108_n20_p_Ares |
| _version_ |
1768546529389314048 |