Hierarchical structure among invariant subspaces of chaotic neural networks

We analyse symmetrical structure among invariant subspaces in chaotic neura l networks with ability of dynamical association. In particular, we elucida te hierarchical structure, or lattice structure among invariant subspaces s upporting a skelton of associative dynamics. We'd like to dedicate this paper to the late Professor Masaya Yamaguti from whom we learned much.