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Title: Pattern selection in a lattice of pulse-coupled oscillators
Author: Guardiola Martínez, Xavier
Díaz Guilera, Albert
Keywords: Física estadística
Sistemes dinàmics diferenciables
Física mèdica
Statistical physics
Differentiable dynamical systems
Medical physics
Issue Date: 1999
Publisher: The American Physical Society
Abstract: We study spatio-temporal pattern formation in a ring of N oscillators with inhibitory unidirectional pulselike interactions. The attractors of the dynamics are limit cycles where each oscillator fires once and only once. Since some of these limit cycles lead to the same pattern, we introduce the concept of pattern degeneracy to take it into account. Moreover, we give a qualitative estimation of the volume of the basin of attraction of each pattern by means of some probabilistic arguments and pattern degeneracy, and show how they are modified as we change the value of the coupling strength. In the limit of small coupling, our estimative formula gives a pefect agreement with numerical simulations.
Note: Reproducció del document publicat a:
It is part of: Physical Review E, 1999, vol. 60, núm. 4, p. 3626-3632
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ISSN: 1063-651X
Appears in Collections:Articles publicats en revistes (Física de la Matèria Condensada)

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