Mechanisms of synchronization and pattern formation in a lattice of pulse-coupled oscillators

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RECERCAT Home > Universitat de Barcelona > Física de la Matèria Condensada > Articles publicats en revistes (Física de la Matèria Condensada) > View document

To access the full text documents, please follow this link: http://hdl.handle.net/2445/18808

dc.contributor	Universitat de Barcelona
dc.contributor.author	Díaz Guilera, Albert
dc.contributor.author	Pérez-Vicente, Conrado, 1962-
dc.contributor.author	Arenas, Àlex
dc.date	2011-07-07T12:53:11Z
dc.date	2011-07-07T12:53:11Z
dc.date	1998
dc.identifier.citation	1063-651X
dc.identifier.citation	143495
dc.identifier.uri	http://hdl.handle.net/2445/18808
dc.format	9 p.
dc.format	application/pdf
dc.language.iso	eng
dc.publisher	The American Physical Society
dc.relation	Reproducció del document publicat a: http://dx.doi.org/10.1103/PhysRevE.57.3820
dc.relation	Physical Review E, 1998, vol. 57, núm. 4, p. 3820-3828
dc.relation	http://dx.doi.org/10.1103/PhysRevE.57.3820
dc.rights	(c) American Physical Society, 1998
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Física estadística
dc.subject	Termodinàmica
dc.subject	Biofísica
dc.subject	Física mèdica
dc.subject	Statistical physics
dc.subject	Thermodynamics
dc.subject	Nonlinear systems
dc.subject	Medical physics
dc.subject	Biophysics
dc.subject	Phase transformations (Statistical physics)
dc.title	Mechanisms of synchronization and pattern formation in a lattice of pulse-coupled oscillators
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.description.abstract	We analyze the physical mechanisms leading either to synchronization or to the formation of spatiotemporal patterns in a lattice model of pulse-coupled oscillators. In order to make the system tractable from a mathematical point of view we study a one-dimensional ring with unidirectional coupling. In such a situation, exact results concerning the stability of the fixed of the dynamic evolution of the lattice can be obtained. Furthermore, we show that this stability is the responsible for the different behaviors.

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