Phase transitions towards frequency entrainment in large oscillator lattices

Details Phase transitions towards frequency entrainment in large oscillator lattices Phase transitions towards frequency entrainment in large oscillator lattices

2003-02-12

arxiv.org/abs/cond-mat/0302234v1

Physics

Condensed Matter

Statistical Mechanics

4 pages, 5 figures, submitted to PRL

Scientific paper

We investigate phase transitions towards frequency entrainment in large, locally coupled networks of limit cycle oscillators. Specifically, we simulate two-dimensional lattices of pulse-coupled oscillators with random natural frequencies, resembling pacemaker cells in the heart. As coupling increases, the system seems to undergo two phasetransitions in the thermodynamic limit. At the first, the largest cluster of frequency entrained oscillators becomes macroscopic. At the second, global entrainment settles. Between the two transitions, the system has features indicating self-organized criticality.

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