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Effect of small-world topology on wave propagation on networks of excitable elements

Isele, T.; Schöll, Eckehard

We study excitation waves on a Newman–Watts small-world network model of coupled excitable elements. Depending on the global coupling strength, we find differing resilience to the added long-range links and different mechanisms of propagation failure. For high coupling strengths, we show agreement between the network and a reaction-diffusion model with additional mean-field term. Employing this approximation, we are able to estimate the critical density of long-range links for propagation failure.
Published in: New Journal of Physics, 10.1088/1367-2630/17/2/023058, IOP