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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Tsuda, I., & Kuroda, S. (2001). Cantor Coding in the Hippocampus. Japan Journal of Industrial and Applied Mathematics, 18(2), 249–258. https://doi.org/10.1007/BF03168573

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