Unique existence of almost periodic solution of bidirectional associative memory neural networks

Meng Hu

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Unique existence of almost periodic solution of bidirectional associative memory neural networks

机译：双向联想记忆神经网络几乎周期解的唯一性

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摘要

In this paper, based on almost periodic functional hull theory and M-matrix theory, some sufficient conditions are established for the existence and uniqueness of positive almost periodic solution for a class of bidirectional associative memory (BAM) neural networks with time-varying delays. An example is given to illustrate the main results.

机译：本文基于几乎周期的泛函理论和M-矩阵理论，为一类具有时变时滞的双向联想记忆（BAM）神经网络的正周期近似正解的存在性和唯一性建立了一些充分的条件。给出一个例子来说明主要结果。

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《International Journal of Applied Mathematics & Statistics》 |2013年第1期|共9页
作者
Meng Hu;
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正文语种 eng
中图分类计量学;
关键词
BAM neural networks; Hull theorem; M-matrix; Almost periodic solution; Exponential stability;

机译：BAM神经网络;Hull定理;M-矩阵;概周期解;指数稳定性;

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专利

1. Unique existence of almost periodic solution of bidirectional associative memory neural networks [J] . Meng Hu International Journal of Applied Mathematics & Statistics . 2013,第18aPta1期

机译：双向联想记忆神经网络几乎周期解的唯一性
2. Existence and Exponential Stability of Anti-Periodic Solutions in Bidirectional Associative Memory Neural Networks with Distributed Delays [J] . Miao Huang, Changjin Xu Journal of computational and theoretical nanoscience . 2016,第1期

机译：分布延迟双向关联内存神经网络中反周期解的存在和指数稳定性
3. Existence and global exponential stability of a periodic solution to interval general bidirectional associative memory (BAM) neural networks with multiple delays on time scales. [J] . Zhang Z, Liu K Neural Networks: The Official Journal of the International Neural Network Society . 2011,第5期

机译：具有时间尺度上多个延迟的区间一般双向联想记忆（BAM）神经网络的周期解的存在性和全局指数稳定性。
4. Existence and Uniqueness of Periodic Solutions for BAM Neural Networks with Delays [C] . Shujie Yang, Bao Shi, Zhanpeng Xu ICIHDS 2007;International conference on impulsive and hybrid dynamical systems . 2007

机译：时滞BAM神经网络周期解的存在唯一性。
5. Information-theoretics based genetic algorithm: Application to Hopfield's associative memory model of neural networks [D] . Arredondo, Tomas Vidal 1997

机译：基于信息论的遗传算法：在神经网络Hopfield联想记忆模型中的应用
6. Anti-periodic oscillations of bidirectional associative memory (BAM) neural networks with leakage delays [O] . Changjin Xu, Lilin Chen, Ting Guo -1

机译：具有泄漏时滞的双向联想记忆（BAM）神经网络的周期性振动
7. Existence and exponential stability of anti-periodic solutions for interval general bidirectional associative memory neural networks with multiple delays [O] . Xiaofei Li, Deng Ding, Jianzhong Feng, 2016

机译：具有多个时滞的区间广义双向联想记忆神经网络的反周期解的存在性和指数稳定性

Unique existence of almost periodic solution of bidirectional associative memory neural networks

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