Itinerant memory dynamics and global bifurcations in chaotic neural networks.
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.
Kitajima
Hiroyuki
H
Faculty of Engineering, Kagawa University, 2217-20 Hayashi, Takamatsu 761-0396, Japan.
Yoshinaga
Tetsuya
T
Aihara
Kazuyuki
K
Kawakami
Hiroshi
H
D000465:Algorithms; D000818:Animals; D006801:Humans; D015233:Models, Statistical; D008962:Models, Theoretical; D009415:Nerve Net; D016571:Neural Networks, Computer; D009474:Neurons / Q000378:metabolism; D017711:Nonlinear Dynamics