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

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

2000-01-24

arxiv.org/abs/nlin/0001047v1

Mathematical Computer Modelling 23 (1996) 43-53

Nonlinear Sciences

Chaotic Dynamics

23 PostScript pages, including 10 figures

Scientific paper

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.

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