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Symmetries and itineracy in nonlinear systems with many degrees of freedom

Published online by Cambridge University Press:  15 November 2002

Michael Breakspear  and
Karl Friston
Michael Breakspear
Affiliation:
Department of Mathematics, University of Surrey, Guildford, GU2 5XH, United Kingdom and Brain Dynamics Centre, Westmead Hospital, Westmead, NSW, 2450, [email protected]
Karl Friston
Affiliation:
The Wellcome Department of Cognitive Neurology, Institute of Neurology, London, WC1N 3BG,United [email protected]
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Abstract

Tsuda examines the potential contribution of nonlinear dynamical systems, with many degrees of freedom, to understanding brain function. We offer suggestions concerning symmetry and transients to strengthen the physiological motivation and theoretical consistency of this novel research direction: Symmetry plays a fundamental role, theoretically and in relation to real brains. We also highlight a distinction between chaotic “transience” and “itineracy.”

Type
Brief Report
Information
Behavioral and Brain Sciences , Volume 24 , Issue 5 , October 2001 , pp. 813
Copyright
© 2001 Cambridge University Press

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