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Geometry of Intentionality in Neurodynamics

Authors:
Germano Resconi
Robert Kozma

Keywords: Neurodynamics; Intentionality; Geometry of Cognition; Neuromorphic Computing ; Geodesic; Memristor.

Abstract:
Brains are the most complex systems in the known Universe and they are composed of simple neural units producing electrical impulses. The key contribution of this work is the use of geometric concepts for neural states, in terms of currents and voltages. In the introduced adaptive neuromorphic electrical circuit, we relate voltage with current using the conductance matrix or alternatively using the impedance matrix. After a change of reference system and introducing a new distance measure, we transform the initially linear relationships into a geodetic over the phase space. Every change of variables can be reproduced by a similar change of voltages into currents and vice versa with the help of the conductance or impedance matrices, respectively. Our geometric approach to neurodynamics can be applied to integrate digital computer structure with neuromorphic computing principles, which produces an efficient new computational paradigm.

Pages: 107 to 114

Copyright: Copyright (c) IARIA, 2012

Publication date: July 22, 2012

Published in: conference

ISSN: 2308-4197

ISBN: 978-1-61208-218-9

Location: Nice, France

Dates: from July 22, 2012 to July 27, 2012