Pullback Exponential Attractors for Non-autonomous Recurrent Neural Networks with Discrete and Distributed Time-Varying Delays

被引:0
作者
Lin Yang
Yejuan Wang
Peter E. Kloeden
机构
[1] Lanzhou University,School of Mathematics and Statistics, Gansu Key Laboratory of Applied Mathematics and Complex Systems
[2] Universität Tübingen,Mathematisches Institut
来源
Journal of Dynamics and Differential Equations | 2023年 / 35卷
关键词
Infinite lattice; Non-autonomous recurrent neural network; Variable delays; Pullback exponential attractors;
D O I
暂无
中图分类号
学科分类号
摘要
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.
引用
收藏
页码:303 / 327
页数:24
相关论文
共 59 条
[11]  
Efendiev M(2009)Exponential periodic attractor of discrete-time BAM neural networks with transmission delays Comput. Math. Model. 20 258-277
[12]  
Yamamoto Y(2010)Pullback exponential attractors Discrete Contin. Dyn. Syst. 26 1329-1357
[13]  
Yagi A(2008)Synchronization control of recurrent neural networks with distributed delays Phys. A 387 982-996
[14]  
Efendiev M(1998)Exponential attractors for nonautonomous evolution equations Appl. Math. Lett. 11 19-22
[15]  
Zelik S(2006)On the dynamics of equations with infinite delay Cent. Eur. J. Math. 4 635-647
[16]  
Miranville A(2007)Exponential attractors for abstract parabolic systems with bounded delay Bull. Austral. Math. Soc. 76 285-295
[17]  
Grasselli M(2015)Attractors for a neural network equation Differ. Equ. Dyn. Syst. 23 99-115
[18]  
Pražák D(2020)Random recurrent neural networks with delays J. Differ. Equ. 269 8597-8639
[19]  
Habibi S(2018)Global exponential synchronization of nonautonomous recurrent neural networks with time delays on time scales Appl. Math. Comput. 328 263-275
[20]  
Hammami M(2017)Delay-dependent attractor analysis of Hopfield neural networks with time-varying delays Chaos Solitons Fractals 101 68-72