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Abstract:

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.

Registro:

Documento: Artículo
Título:Collective modes of coupled phase oscillators with delayed coupling
Autor:Ares, S.; Morelli, L.G.; Jörg, D.J.; Oates, A.C.; Jülicher, F.
Filiación:Max Planck Institute for the Physics of Complex Systems, Nöthnitzer Str. 38, 01187 Dresden, Germany
Grupo Interdisciplinar de Sistemas Complejos (GISC), Spain
Max Planck Institute of Molecular Cell Biology and Genetics, Pfotenhauerstr. 108, 01307 Dresden, Germany
CONICET, Departamento de Física, Ciudad Universitaria, 1428 Buenos Aires, Argentina
Logic of Genomic Systems Laboratory, Centro Nacional de Biotecnología CSIC, Calle Darwin 3, 28049 Madrid, Spain
Palabras clave: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
Año:2012
Volumen:108
Número:20
DOI: http://dx.doi.org/10.1103/PhysRevLett.108.204101
Título revista:Physical Review Letters
Título revista abreviado:Phys Rev Lett
ISSN:00319007
CODEN:PRLTA
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_00319007_v108_n20_p_Ares

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Citas:

---------- APA ----------
Ares, S., Morelli, L.G., Jörg, D.J., Oates, A.C. & Jülicher, F. (2012) . Collective modes of coupled phase oscillators with delayed coupling. Physical Review Letters, 108(20).
http://dx.doi.org/10.1103/PhysRevLett.108.204101
---------- CHICAGO ----------
Ares, S., Morelli, L.G., Jörg, D.J., Oates, A.C., Jülicher, F. "Collective modes of coupled phase oscillators with delayed coupling" . Physical Review Letters 108, no. 20 (2012).
http://dx.doi.org/10.1103/PhysRevLett.108.204101
---------- MLA ----------
Ares, S., Morelli, L.G., Jörg, D.J., Oates, A.C., Jülicher, F. "Collective modes of coupled phase oscillators with delayed coupling" . Physical Review Letters, vol. 108, no. 20, 2012.
http://dx.doi.org/10.1103/PhysRevLett.108.204101
---------- VANCOUVER ----------
Ares, S., Morelli, L.G., Jörg, D.J., Oates, A.C., Jülicher, F. Collective modes of coupled phase oscillators with delayed coupling. Phys Rev Lett. 2012;108(20).
http://dx.doi.org/10.1103/PhysRevLett.108.204101