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Can stochastic renewal of maps be a model for cerebral cortex?
Title: | Can stochastic renewal of maps be a model for cerebral cortex? |
Authors: | Tsuda, I. Browse this author |
Keywords: | stochastic renewal of dynamics | skew product transformation | cortical chaotic memory | dynamic learning | chaotic ltinerancy |
Issue Date: | 1-Dec-1993 |
Publisher: | Department of Mathematics, Hokkaido University |
Journal Title: | Hokkaido University Preprint Series in Mathematics |
Volume: | 224 |
Start Page: | 1 |
End Page: | 23 |
Abstract: | We introduce a new type of stochastic dynamics as stochastic renewal of maps, relating to the neurodynamics of cortical memory process. This stochastic dynamics can be reformulated by a skew product transformation of two kinds of variables, one of which describes an underlying dynamical system and the other describes chaotic dynamics, say, Bernoulli shift. The feature of orbits in phase space is investigated in the particular case of neurodynamics model for cortical chaotic memories. A new computational result on the functional role of cortical chaos is obtained. We also present a neurobiological interpretation of psychological perception and memories by means of the notion of chaotic itinerancy. |
Type: | bulletin (article) |
URI: | http://hdl.handle.net/2115/68975 |
Appears in Collections: | 理学院・理学研究院 (Graduate School of Science / Faculty of Science) > Hokkaido University Preprint Series in Mathematics
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Submitter: 数学紀要登録作業用
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