Hostname: page-component-78c5997874-94fs2 Total loading time: 0 Render date: 2024-11-14T23:23:46.103Z Has data issue: false hasContentIssue false

Symmetries and itineracy in nonlinear systems with many degrees of freedom

Published online by Cambridge University Press:  15 November 2002

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]

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
Copyright
© 2001 Cambridge University Press

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)