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Cantor coding in the hippocampus

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Abstract

We construct a mathematical model for the dynamic behavior of hippocampus. 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.

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Authors and Affiliations

  1. Applied Mathematics and Complex Systems Research Group, Department of Mathematics, Graduate School of Science, Hokkaido University, 060-0810, Sapporo, Japan

    Ichiro Tsuda & Shigeru Kuroda

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  1. Ichiro Tsuda
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  2. Shigeru Kuroda
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Tsuda, I., Kuroda, S. Cantor coding in the hippocampus. Japan J. Indust. Appl. Math. 18, 249–258 (2001). https://doi.org/10.1007/BF03168573

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  • DOI: https://doi.org/10.1007/BF03168573

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