ring neural network
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2021 ◽  
Vol 31 (08) ◽  
pp. 2150116
Author(s):  
Xiaoying Wu ◽  
Yuanlong Chen ◽  
Liangliang Li ◽  
Fen Wang

This paper mainly considers the complex dynamics of a discrete-time ring neural network with multiple time delays. By transforming the network system into a system of difference equations, one can obtain a chaotic neural network. More specifically, by projection method one can determine a closed invariant set of the system governed by some difference equations, and prove that some invariant subsystem is topologically conjugate to the two-sided symbolic dynamical system. Moreover, numerical simulations are presented to verify the theoretical results.


2020 ◽  
Vol 80 (6) ◽  
pp. 1617-1653
Author(s):  
Bootan Rahman ◽  
Yuliya N. Kyrychko ◽  
Konstantin B. Blyuss

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