Path-integral evolution of chaos embedded in noise: Duffing neocortical analog

Authors:
L. Ingber;R. Srinivasan;P. L. Nunez
Affiliations:
Lester Ingber Research P.O. Box 857, McLean, VA 22101, U.S.A.;Department of Psychology and Institute of Cognitive and Decision Sciences University of Oregon, and Electrical Geodesics, Inc. Eugene, OR 97403, U.S.A.;Department of Biomedical Engineering, Tulane University New Orleans, LA 70118, U.S.A.
Venue:
Mathematical and Computer Modelling: An International Journal
Year:
1996

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Abstract

A two-dimensional time-dependent Duffing oscillator model of macroscopic neocortex exhibits chaos for some ranges of parameters. We embed this model in moderate noise, typical of the context presented in real neocortex, using PATHINT, a non-Monte-Carlo path-integral algorithm that is particularly adept in handling nonlinear Fokker-Planck systems. This approach shows promise to investigate whether chaos in neocortex, as predicted by such models, can survive in noisy contexts.