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Hierarchical structure among invariant subspaces of chaotic neural networks

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Abstract

We analyse symmetrical structure among invariant subspaces in chaotic neural networks with ability of dynamical association. In particular, we elucidate hierarchical structure, or lattice structure among invariant subspaces supporting a skelton of associative dynamics.

We’d like to dedicate this paper to the late Professor Masaya Yamaguti from whom we learned much.

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Komuro, M., Aihara, K. Hierarchical structure among invariant subspaces of chaotic neural networks. Japan J. Indust. Appl. Math. 18, 335–357 (2001). https://doi.org/10.1007/BF03168579

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  • DOI: https://doi.org/10.1007/BF03168579

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