Unstable Dynamics, Nonequilibrium Phases and Criticality in Networked Excitable Media

Details Unstable Dynamics, Nonequilibrium Phases and Criticality in Networked Excitable Media Unstable Dynamics, Nonequilibrium Phases and Criticality in Networked Excitable Media

2010-07-27

arxiv.org/abs/1007.4675v3

Physics

Condensed Matter

Disordered Systems and Neural Networks

18 pages, 9 figures

Scientific paper

Here we numerically study a model of excitable media, namely, a network with occasionally quiet nodes and connection weights that vary with activity on a short-time scale. Even in the absence of stimuli, this exhibits unstable dynamics, nonequilibrium phases -including one in which the global activity wanders irregularly among attractors- and 1/f noise while the system falls into the most irregular behavior. A net result is resilience which results in an efficient search in the model attractors space that can explain the origin of certain phenomenology in neural, genetic and ill-condensed matter systems. By extensive computer simulation we also address a relation previously conjectured between observed power-law distributions and the occurrence of a "critical state" during functionality of (e.g.) cortical networks, and describe the precise nature of such criticality in the model.

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