Spatiotemporal dynamics of networks of excitable nodes | Zendy

Aaron J. Steele | Zendy; Mark R. Tinsley | Zendy; Kenneth Showalter | Zendy

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Spatiotemporal dynamics of networks of excitable nodes

Author(s) -

Aaron J. Steele,

Mark R. Tinsley,

Kenneth Showalter

Publication year - 2006

Publication title -

chaos an interdisciplinary journal of nonlinear science

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.971

H-Index - 113

eISSN - 1089-7682

pISSN - 1054-1500

DOI - 10.1063/1.2177569

Subject(s) - subnetwork , entrainment (biomusicology) , synchronization (alternating current) , dynamics (music) , excitation , biological system , computer science , transient (computer programming) , network dynamics , statistical physics , physics , topology (electrical circuits) , control theory (sociology) , mechanics , mathematics , computer network , artificial intelligence , biology , rhythm , acoustics , channel (broadcasting) , control (management) , discrete mathematics , quantum mechanics , combinatorics , operating system

A network of excitable nodes based on the photosensitive Belousov-Zhabotinsky reaction is studied in experiments and simulations. The addressable medium allows both local and nonlocal links between the nodes. The initial spread of excitation across the network as well as the asymptotic oscillatory behavior are described. Synchronization of the spatiotemporal dynamics occurs by entrainment to high-frequency network pacemakers formed by excitation loops. Analysis of the asymptotic behavior reveals that the dynamics of the network is governed by a subnetwork selected during the initial transient period.

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