Periodic Solution for $$\nabla $$ ∇ -Stochastic High-Order Hopfield Neural Networks with Time Delays on Time Scales

2018 ◽  
Vol 49 (3) ◽  
pp. 1681-1696 ◽  
Author(s):  
Li Yang ◽  
Yu Fei ◽  
Wanqin Wu
Keyword(s):  
Neural Networks ◽  
Periodic Solution ◽  
Time Scales ◽  
Time Delays ◽  
High Order ◽  
Hopfield Neural Networks

scholarly journals Existence and Exponential Stability of Periodic Solution of High-Order Hopfield Neural Network with Delays on Time Scales

2009 ◽  
Vol 2009 ◽  
pp. 1-18 ◽  
Author(s):  
Yongkun Li ◽  
Lili Zhao ◽  
Ping Liu
Keyword(s):  
Neural Network ◽  
Neural Networks ◽  
Periodic Solution ◽  
Exponential Stability ◽  
Time Scales ◽  
Lyapunov Functions ◽  
Coincidence Degree ◽  
Degree Theory ◽  
Hopfield Neural Network ◽  
High Order

On time scales, by using the continuation theorem of coincidence degree theory and constructing some suitable Lyapunov functions, the periodicity and the exponential stability are investigated for a class of delayed high-order Hopfield neural networks (HHNNs), which are new and complement of previously known results. Finally, an example is given to show the effectiveness of the proposed method and results.

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