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1. THE KURAMOTO MODEL SUBJECT TO A FLUCTUATING ENVIRONMENT: APPLICATION TO BRAINWAVE DYNAMICS

Author

Tom Hansard, Peter V. E. McClintock, Lawrence W. Sheppard, Alison C. Hale, and Aneta Stefanovska

Subjects
Quantitative Biology::Neurons and Cognition, Computer science, General Mathematics, Kuramoto model, General Physics and Astronomy, Synchronization, Living systems, Quantitative measure, Nonlinear system, Phase dynamics, Control theory, Dynamics (music), Statistical physics, Time series
Abstract

We consider the phase dynamics of an ensemble of Kuramoto oscillators whose eigenfrequencies are perturbed to model the openness of living systems, and we show that it exhibits time-localized epochs of synchrony. A new quantitative measure is used to show that the model compares well with electroencephalography data recorded from a healthy awake human.

Published
2012
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