Bifurcation analysis in an associative memory model.
Bifurcation analysis in an associative memory model.
复制标题
联想记忆模型中的分叉分析。
DOI：
10.1103/physreve.70.046210
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发表时间：
2003
期刊：
影响因子：
--
通讯作者：
M. Okada
中科院分区：
文献类型：
--
作者：
Masaki Kawamura;R. Tokunaga;M. Okada
我们以前报道了一个非单调序列联想记忆模型中由于相互作用受挫而引起的混沌，并给出了在绝对零点的混沌行为。我们现在已经分析了随机系统的分叉，即非单调序列联想记忆模型的有限温度模型。我们从随机微观方程出发，推导出序参数方程。从这些方程得到的两参数分岔图表明，在绝对零度时不出现吸引子的共存，以及由于温度效应而导致的混沌的消失。
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.