scholarly journals Existence and stability of periodic solutions of high-order Hopfield neural networks with impulses and delays

2009 ◽  
Vol 224 (2) ◽  
pp. 602-613 ◽  
Author(s):  
Jie Zhang ◽  
Zhanji Gui
Keyword(s):  
Neural Networks ◽  
Periodic Solutions ◽  
High Order ◽  
Hopfield Neural Networks ◽  
Existence And Stability

Anti-periodic solutions for high-order Hopfield neural networks with impulses

2014 ◽  
Vol 138 ◽  
pp. 339-346 ◽  
Author(s):  
Qi Wang ◽  
Yayun Fang ◽  
Hui Li ◽  
Lijuan Su ◽  
Binxiang Dai
Keyword(s):  
Neural Networks ◽  
Periodic Solutions ◽  
High Order ◽  
Hopfield Neural Networks

scholarly journals Global exponential stability and existence of almost periodic solutions in distribution for Clifford-valued stochastic high-order Hopfield neural networks with time-varying delays

2021 ◽  
Vol 7 (3) ◽  
pp. 3653-3679
Author(s):  
Nina Huo ◽  
◽  
Bing Li ◽  
Yongkun Li ◽  
◽  
...  
Keyword(s):  
Neural Networks ◽  
Exponential Stability ◽  
Periodic Solutions ◽  
Global Exponential Stability ◽  
High Order ◽  
Hopfield Neural Networks ◽  
Banach Fixed Point Theorem ◽  
Time Varying ◽  
Almost Periodic Solutions ◽  
Almost Periodic

<abstract><p>In this paper, we consider a class of Clifford-valued stochastic high-order Hopfield neural networks with time-varying delays whose coefficients are Clifford numbers except the time delays. Based on the Banach fixed point theorem and inequality techniques, we obtain the existence and global exponential stability of almost periodic solutions in distribution of this class of neural networks. Even if the considered neural networks degenerate into real-valued, complex-valued and quaternion-valued ones, our results are new. Finally, we use a numerical example and its computer simulation to illustrate the validity and feasibility of our theoretical results.</p></abstract>

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