Summary

Proceedings of the 2013 International Symposium on Nonlinear Theory and its Applications

2013

Session Number:B3L-C

Session:

Number:326

A solvable model for noise-induced synchronization in ensembles of coupled excitable oscillators

Keiji Okumura,  Kazuyuki Aihara,  

pp.326-329

Publication Date:

Online ISSN:2188-5079

DOI:10.15248/proc.2.326

PDF download (438.5KB)

A mean-field model for coupled excitable oscillators is introduced to analyze noise-induced synchronization. A nonlinear Fokker-Planck equation approach allows us to study the effects of noise on the system only by dealing with deterministic nonlinear dynamics. Taking the thermodynamic limit, we derive the time evolution equations of the order parameters for the system without any approximations. A bifurcation diagram for the order parameters is shown compared to collective behavior of the oscillators obtained by direct simulation of the set of the Langevin equations with changes in noise intensity.

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