Mechanisms of synchronization and pattern formation in a lattice of pulse-coupled oscillators
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. I...
| Autores: | , , |
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| Tipo de recurso: | artículo |
| Estado: | Versión publicada |
| Fecha de publicación: | 1998 |
| País: | España |
| Institución: | Universidad de Barcelona |
| Repositorio: | Dipòsit Digital de la UB |
| OAI Identifier: | oai:diposit.ub.edu:2445/18808 |
| Acceso en línea: | https://hdl.handle.net/2445/18808 |
| Access Level: | acceso abierto |
| Palabra clave: | Física estadística Termodinàmica Biofísica Física mèdica Statistical physics Thermodynamics Nonlinear systems Medical physics Biophysics Phase transformations (Statistical physics) |
| Sumario: | 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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