Bifurcation analysis in an associative memory model

Details Bifurcation analysis in an associative memory model Bifurcation analysis in an associative memory model

2003-09-29

arxiv.org/abs/cond-mat/0309651v3

Phys. Rev. E 70, 046210 (2004)

Physics

Condensed Matter

Disordered Systems and Neural Networks

19 pages

Scientific paper

10.1103/PhysRevE.70.046210

We previously reported the chaos induced by the frustration of interaction in a non-monotonic 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 non-monotonic 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.

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