Itinerant memory dynamics and global bifurcations in chaotic neural networks |
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Authors: | Kitajima Hiroyuki Yoshinaga Tetsuya Aihara Kazuyuki Kawakami Hiroshi |
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Affiliation: | Faculty of Engineering, Kagawa University, 2217-20 Hayashi, Takamatsu 761-0396, Japan. |
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Abstract: | We have considered itinerant memory dynamics in a chaotic neural network composed of four chaotic neurons with synaptic connections determined by two orthogonal stored patterns as a simple example of a chaotic itinerant phenomenon in dynamical associative memory. We have analyzed a mechanism of generating the itinerant memory dynamics with respect to intersection of a pair of alpha branches of periodic points and collapse of a periodic in-phase attracting set. The intersection of invariant sets is numerically verified by a novel method proposed in this paper. |
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