著者

Yamaguti Yutaka Kuroda Shigeru Fukushima Yasuhiro Tsukada Minoru Tsuda Ichiro

出版者

Elsevier

雑誌

Neural Networks (ISSN:08936080)

巻号頁・発行日

vol.24, no.1, pp.43-53, 2011

被引用文献数

16

著者

Tsuda Ichiro

雑誌

Cambridge University Press (ISSN:0140525X)

巻号頁・発行日

vol.24, pp.793-810, 2001-06

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Using the concepts of chaotic dynamical systems, we present an interpretation of dynamic neural activity found in cortical and subcortical areas. The discovery of chaotic itinerancy in high-dimensional dynamical systems with and without a noise term has motivated a new interpretation of this dynamic neural activity, cast in terms of the high-dimensional transitory dynamics among “exotic” attractors. This interpretation is quite different from the conventional one, cast in terms of simple behavior on low-dimensional attractors. Skarda and Freeman (1987) presented evidence in support of the conclusion that animals cannot memorize odor without chaotic activity of neuron populations. Following their work, we study the role of chaotic dynamics in biological information processing, perception, and memory. We propose a new coding scheme of information in chaos-driven contracting systems we refer to as Cantor coding. Since these systems are found in the hippocampal formation and also in the olfactory system, the proposed coding scheme should be of biological significance. Based on these intensive studies, a hypothesis regarding the formation of episodic memory is given.

著者

Tsuda Ichiro Kuroda Shigeru

出版者

Springer

雑誌

Japan Journal of Industrial and Applied Mathematics (ISSN:09167005)

巻号頁・発行日

vol.18, no.2, pp.249-258, 2001

被引用文献数

29

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We construct a mathematical model for the dynamic behavior of hip- pocampus. The model is described by the skew product transformation in terms of chaotic dynamics and contracting dynamics. In the contracting subspace, fractal objects are generated. We show that such fractal objects are characterized by a code of a temporal sequence generated by chaotic dynamics.