Chaos via Shilnikov's saddle-node bifurcation in a theory of the electroencephalogram

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Title: Chaos via Shilnikov's saddle-node bifurcation in a theory of the electroencephalogram
Author(s): Van Veen, Lennaert; Liley, David T. J.
Abstract: We study the bifurcation diagram of a mesoscopic model of the human cortex. This model is known to exhibit robust chaotic behavior in the space of parameters that model exterior forcing. We show that the bifurcation diagram has an unusual degree of organization. In particular, we show that the chaos is spawned by a codimension-one homoclinic bifurcation that was analyzed by Shilnikov in 1969 but has never before been found in a physical application.
Publication type: Journal article
Research centre: Swinburne University of Technology. Faculty of Life and Social Sciences
Source: Physical Review Letters, Vol. 97, no. 20 (2006), article no. 208101
Publication year: 2006
FOR Code(s): 010204 Dynamical Systems in Applications; 110903 Central Nervous System
Publisher: American Physical Society
ISSN: 0031-9007
Publisher URL: http://dx.doi.org/10.1103/PhysRevLett.97.208101
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