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Article

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Published version

Publication date

1998

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/18808

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

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http://dx.doi.org/10.1103/PhysRevE.57.3820

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.

Subject

Física estadística, Termodinàmica, Biofísica, Física mèdica

Subject (English)

Statistical physics, Thermodynamics, Nonlinear systems, Medical physics, Biophysics, Phase transformations (Statistical physics)

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Articles publicats en revistes (Física de la Matèria Condensada)

Citation

DÍAZ GUILERA, Albert, PÉREZ-VICENTE, Conrado and ARENAS, Àlex. Mechanisms of synchronization and pattern formation in a lattice of pulse-coupled oscillators. Physical Review E. 1998. Vol. 57, num. 4, pags. 3820-3828. ISSN 1063-651X. [consulted: 11 of June of 2026]. Available at: https://hdl.handle.net/2445/18808

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