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Dynamic behaviour of Frohlich's Brain-Wave model

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UNSPECIFIED (1998) Dynamic behaviour of Frohlich's Brain-Wave model. In: 2nd IFAC Workshop on New Trends in Design of Control Systems, SEP 07-10, 1997, SMOLENICE, SLOVAKIA.

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Abstract

Motivated by the empirical finding that the EEG corresponding to varying degrees of consciousness exhibit deterministic chaos to a corresponding degree, Frohlich's Brain-Wave model is analysed for the first time in its fall generality (3 degrees of freedom). Some new results are presented concerning the response of the system to external stimuli-both ac and de. In contrast to an earlier claim that a restricted version of the model (containing only 2 degrees of freedom) exhibits a chaos only when the external stimulus contains both ac and dc components, we find that ac component alone is sufficient. Readmitting the 3rd degree of freedom can result in much more complex bifurcation scenarii, as is readily seen from consideration and comparison of the control space basins.

Item Type: Conference Item (UNSPECIFIED)
Subjects: T Technology > TL Motor vehicles. Aeronautics. Astronautics
Journal or Publication Title: NEW TRENDS IN DESIGN OF CONTROL SYSTEMS 1997
Publisher: PERGAMON PRESS LTD
ISBN: 0-08-042935-1
Editor: Kozak, S and Huba, M
Date: 1998
Number of Pages: 6
Page Range: pp. 157-162
Publication Status: Published
Title of Event: 2nd IFAC Workshop on New Trends in Design of Control Systems
Location of Event: SMOLENICE, SLOVAKIA
Date(s) of Event: SEP 07-10, 1997
URI: http://wrap.warwick.ac.uk/id/eprint/13882

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