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对神经网络中一类模型不动点的分析

Analysis of the Fixed Points for a Class Neuronal Network Models'
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摘要 研究了一类神经网络模型的自治系统和不动点,发现随着参数w的变化,模型可能出现2-6个不动点,其中在3个和5个不动点时会出现分岔点.通过计算线性化矩阵和特征值,确定了各不动点和分岔点的性态. In this paper,the autonomous system and the fixed points for a class of neuronal network models' are studied.We found that can be exist from two to six fixed points while changing of parameter w,among them,fold bifurcation will be found in the case of three or five fixed points.Then the character of these fixed points will be analyzed through the calculation of linearization array and eigenvalues.
出处 《内蒙古师范大学学报(自然科学汉文版)》 CAS 北大核心 2014年第2期146-148,151,共4页 Journal of Inner Mongolia Normal University(Natural Science Edition)
基金 国家自然科学基金资助项目(31160091) 内蒙古自然科学基金资助项目(2013MS0123) 内蒙古高等学校科学研究项目(NJ10059)
关键词 神经网络 自治系统 不动点 neuronal networks autonomous system fixed points
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