Nonlinear Phenomena in Complex Systems, 2002, Vol.5, No.4, pp.332-341

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2002, Vol.5, No.4, pp.332-341

On a Mean Field Haken-Kelso-Bunz Model and a Free Energy Approach to Relaxation Processes.
T.D. Frank

Nonequilibrium phase transitions in task-related populations of neurons are discussed using a mean field model that involves the Haken-Kelso-Bunz model for bistable motor control systems and the Kuramoto coupling term for coupled phase oscillators. The relation of this model to a general free energy approach to stochastic processes in many body systems is examined.
Key words: Haken-Kelso-Bunz model, Kuramoto mean field coupling, Fokker-Planck equations

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