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Pullback Exponential Attractors for Non-autonomous Recurrent Neural Networks with Discrete and Distributed Time-Varying Delays
Journal of Dynamics and Differential Equations ( IF 1.4 ) Pub Date : 2021-04-10 , DOI: 10.1007/s10884-021-09991-3
Lin Yang , Yejuan Wang , Peter E. Kloeden

First some sufficient conditions are presented for the existence and the construction of pullback exponential attractors for infinite dimensional non-autonomous dynamical systems with delays. This abstract result is then used to establish the existence of pullback exponential attractors for an infinite lattice model of non-autonomous recurrent neural networks with discrete and distributed time-varying delays.



中文翻译:

具有离散和分布时变时滞的非自治递归神经网络的回撤指数吸引子

首先,给出了具有时滞的无穷维非自治动力系统的回撤指数吸引子的存在和构造的一些充分条件。然后,该抽象结果用于建立具有离散和分布时变时滞的非自治递归神经网络的无限晶格模型的回撤指数吸引子的存在。

更新日期:2021-04-11
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