title: Bifurcation analysis in an associative memory model.
abstract: We previously reported the chaos induced by the frustration of interaction in a nonmonotonic sequential associative memory model, and showed the chaotic behaviors at absolute zero. We have now analyzed bifurcation in a stochastic system, namely, a finite-temperature model of the nonmonotonic sequential associative memory model. We derived order-parameter equations from the stochastic microscopic equations. Two-parameter bifurcation diagrams obtained from those equations show the coexistence of attractors, which do not appear at absolute zero, and the disappearance of chaos due to the temperature effect.
authors.affiliation: Faculty of Science, Yamaguchi University, Yoshida 1677-1, Yamaguchi, 753-8512, Japan.
authors.forename: Masaki
authors.initials: M
authors.lastname: Kawamura
authors.forename: Ryuji
authors.initials: R
authors.lastname: Tokunaga
authors.forename: Masato
authors.initials: M
authors.lastname: Okada