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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Autores principales: Ares, S., Morelli, L.G., Jörg, D.J., Oates, A.C., Jülicher, F.
Formato: JOUR
Materias:
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
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_00319007_v108_n20_p_Ares
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Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_00319007_v108_n20_p_Ares
record_format dspace
spelling todo:paper_00319007_v108_n20_p_Ares2023-10-03T14:42:17Z Collective modes of coupled phase oscillators with delayed coupling Ares, S. Morelli, L.G. Jörg, D.J. Oates, A.C. Jülicher, F. 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. JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar 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
Ares, S.
Morelli, L.G.
Jörg, D.J.
Oates, A.C.
Jülicher, F.
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.
format JOUR
author Ares, S.
Morelli, L.G.
Jörg, D.J.
Oates, A.C.
Jülicher, F.
author_facet Ares, S.
Morelli, L.G.
Jörg, D.J.
Oates, A.C.
Jülicher, F.
author_sort Ares, S.
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
url http://hdl.handle.net/20.500.12110/paper_00319007_v108_n20_p_Ares
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