多态Ising神经网络严格动力学方程的研究  

STUDY ON EXACT DYNAMICAL EQUATIONS OF MULTISTATE ISING NEURAL NETWORKS

作　　者：胡北来[1] 严明 

机构地区：[1]南开大学物理系

出　　处：《南开大学学报（自然科学版）》1996年第1期35-41,共7页Acta Scientiarum Naturalium Universitatis Nankaiensis

摘　　要：本文提出了符合多态Ｉｓｉｎｇ模型神经网络动力学规则的生成泛函，并从该泛函导出了零温度时严格的三态、四态Ｉｓｉｎｇ神经网络的并行动力学方程．所获得的无自耦网络的动力学方程与发表的结果符合得很好．此方法的优点是在导出多态Ｉｓｉｎｇ神经网络的严格动力学方程的同时能求出其它多个序参量．The exact equations of parallel dynamics for three-and four-state Ising neural networks at zero temperature are derived from a generating funtional. The generating functional is proposed to fit the dynamical rule of multistate Ising model. The dynamical equations obtained in the case without self-couplings are in agreement with the published results, which shows that this approach can be used to advantage in calculating the exact dynamical equations and other order parameters for multistate Ising neural networks.

关 键 词：神经网络 多态神经网络 动力学方程 伊辛模型 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]