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

Abstract

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.

arXiv comment19 pages, 8 figures and 5 pages supplementary material

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Cited by in corpus (5)

• Control of amplitude chimeras by time delay in dynamical networks
• Turing instability in Reaction-Diffusion models on complex networks
• Excitation Waves on a Minimal Small-World Model
• Stationary patterns in star networks of bistable units: Theory and application to chemical reactions
• Propagation of extreme events in multiplex neuronal networks