Controlling limit-cycle behaviors of brain activity

J. W. Kim and P. A. Robinson

Phys. Rev. E 77, 051914 – Published 19 May 2008

Abstract

The limit cycles of brain activity are studied using a compact continuum model that reproduces the main features of electroencephalographic signals, including bifurcations of fixed points and limit cycles in seizures. Frequencies and amplitudes are predicted analytically and related to physiology. Gaussian stimuli yield two distinct evoked responses in the linearly stable zone, consistent with experiment. Limit cycles can be initiated or suppressed by control signals or stimuli.

Received 8 April 2007

DOI:https://doi.org/10.1103/PhysRevE.77.051914

Authors & Affiliations

J. W. Kim^1,2 and P. A. Robinson^1,2,3

¹School of Physics, The University of Sydney, Sydney, New South Wales 2006, Australia
²Brain Dynamics Center, Westmead Millennium Institute, Westmead Hospital and Western Clinical School of The University of Sydney, Westmead, New South Wales 2145, Australia
³Faculty of Medicine, The University of Sydney, Sydney, New South Wales 2006, Australia

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Vol. 77, Iss. 5 — May 2008

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