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.
arXiv comment15 pages, 2 PostScript available upon request at [email protected], Accepted in Physica D
References in corpus (5)
- Self-Organized Criticality in Non-conserved Systems
- Self-organized criticality and synchronization in a lattice model of integrate-and-fire oscillators
- Pulse-coupled relaxation oscillators: from biological synchronization to Self-Organized Criticality
- On Self-Organized Criticality and Synchronization in Lattice Models of Coupled Dynamical Systems
- On Synchronization in a Lattice Model of Pulse-Coupled Oscillators