神经动力学系统和李雅普诺夫指数

I. Dano
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引用次数: 0

摘要

本文从工程的角度探讨递归网络的神经动力学模型,即使网络在拓扑方面高效,并捕获时变系统的动态。在这种情况下,神经动力学可以从两个方面考虑,状态变量的收敛性(记忆召回)和平衡状态的数量、位置、局部稳定性和吸引域(记忆容量)。本文的目的是研究Lyapunov指数与递归神经网络模型之间的关系,这种递归神经网络模型由具体的时滞微分方程组描述。
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Neurodynamic systems and Lyapunov exponents
The neurodynamical model of recurrent networks in this paper is approached from an engineering perspective, i.e. to make networks efficient in terms of topology and capture dynamics of time-varying systems. Neural dynamics in that case can be considered from two aspects, convergence of state variables (memory recall) and the number, position, local stability and domains of attraction of equilibrium states (memory capacity). The purpose of this work is to investigate some relationship between Lyapunov exponents and the recurrent neural network model described by the concrete system of delay-differential equations.
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