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paper

Stability of Spatio-Temporal Structures in a Lattice Model of Pulse-Coupled Oscillators

arXiv:cond-mat/9605042 · doi:10.1016/S0167-2789(96)00274-6

Abstract

We analyze the collective behavior of a lattice model of pulse-coupled oscillators. By studying the intrinsic dynamics of each member of the population and their mutual interactions we observe the emergence of either spatio-temporal structures or synchronized regimes. We perform a linear stability analysis of these structures.

15 pages, 2 PostScript available upon request at alvaro@ulyses.ffn.ub.es, Accepted in Physica D