Critical Fluctuations and 1/f^α-Activity of Neural Fields Involving Transmission Delays

Hutt, A.; Frank, T.

doi:10.12693/APhysPolA.108.1021

Journal

Acta Physica Polonica A

2005 | 108 | 6 | 1021-1040

Article title

Critical Fluctuations and 1/f^α-Activity of Neural Fields Involving Transmission Delays

Authors

A. Hutt , T. Frank

Content

Full texts:

http://przyrbwn.icm.edu.pl/APP/PDF/108/a108z608.pdf [remote]

Title variants

Languages of publication

EN

Abstracts

EN

This work studies the stability and the stochastic properties of neural activity evoked by external stimulation. The underlying nonlocal model describes the spatiotemporal response dynamics of neural populations involving both synaptic delay and axonal transmission delay. We show that the linear model recasts to a set of affine delay differential equations in spatial Fourier space. Besides a stability study for general kernels and general external stimulation, the power spectrum of evoked activity is derived analytically in the case of external Gaussian noise. Further applications to specific kernels reveal critical fluctuations at Hopf- and Turing bifurcations and allow the numerical detection of 1/f^αfluctuations near the stability threshold.

Keywords

EN

87.19.La 05.40.Ca 02.30.Ks 05.70.Jk

Discipline

Publisher

Institute of Physics, Polish Academy of Sciences

Journal

Acta Physica Polonica A

Year

2005

Volume

108

Issue

6

Pages

1021-1040

Physical description

Dates

published

2005-12

received

2005-06-17

(unknown)

2005-08-29

Contributors

author

A. Hutt

Institute of Physics, Humboldt University of Berlin, Newtonstr. 15, 12489 Berlin, Germany

author

T. Frank

Institute for Theoretical Physics, University of Münster, Wilhelm-Klemm-Str. 9, 48149 Münster, Germany

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Document Type

Publication order reference

Identifiers

DOI

10.12693/APhysPolA.108.1021

YADDA identifier

bwmeta1.element.bwnjournal-article-appv108n608kz