The following paper is available via anonymous ftp.
Path-integral evolution of chaos embedded in noise:
Duffing neocortical analog
Lester Ingber Research
P.O. Box 857, McLean, Virginia 22101 U.S.A.
ingber at alumni.caltech.edu
Department of Psychology
University of Oregon, Eugene, Oregon 97403 U.S.A.
ramesh at oregon.uoregon.edu
Eugene, Oregon 97403 U.S.A.
Paul L. Nunez
Department of Biomedical Engineering
Tulane University, New Orleans, Louisiana 70118 U.S.A.
pnunez at mailhost.tcs.tulane.edu
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.
Keywords: chaos, path integral, Fokker Planck, Duffing equation,
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