We study (i) traveling wave solutions, (ii) the formation and spatial spread of synchronous oscillations, and (iii) the effects of variations of threshold ...

Oct 22, 2024 · We study (i) traveling wave solutions, (ii) the formation and spatial spread of synchronous oscillations, and (iii) the effects of ...

Abstract. We study (i) traveling wave solutions, (ii) the formation and spatial spread of synchronous oscilla- tions, and (iii) the effects of variations of ...

We study traveling wave solutions of a system of integro-differential equations which describe the activity of large-scale networks of excitatory neurons on ...

Traveling Waves and Synchrony in an Excitable Large-Scale Neuronal Network with Asymmetric Connections · Physics. SIAM Journal on Applied Dynamical Systems · 2008.

The theory of coupled phase oscillators provides a framework to understand the emergent properties of networks of neuronal oscillators.

Wave Phenomena in Neuronal Networks. W.C. Troy. 9 May 2008. Traveling Waves and Synchrony in an Excitable Large-Scale Neuronal Network with Asymmetric ...

This work examines the existence and stability of traveling pulse solutions of a set of integro-differential equations that describe activity in a spatially ...

The neural field models only support traveling pulse solutions with asymmetric couplings. We also show that such neural field models with asymmetric couplings ...

In this paper we show that complex spatiotemporal dynamics, including travelling waves and high-dimensional chaos can arise in simple large-scale brain models ...