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Almost periodic solution 4 Exponential stability 2 Continuously distributed delays 1 Delays 1 Exponential dichotomy 1 Fixed point theorem 1 Global exponential stability 1 Hopfield neural networks 1 Local exponential stability 1 Multidirectional associative memory neural networks 1 Neural networks 1 Shunting inhibitory cellular neural networks 1 Spectral radius 1 Time-varying delays 1
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Cai, Mingshan 1 Li, Chen 1 Liu, Bingwen 1 Lv, Xiaohong 1 Wang, Min 1 Yuan, Zhaohui 1 Zhang, Hong 1 Zhao, Weirui 1 Zhou, Jun 1 Zhou, Tiejun 1 Zhu, Huaping 1
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Mathematics and Computers in Simulation (MATCOM) 4
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RePEc 4
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Almost periodic solution for multidirectional associative memory neural network with distributed delays
Zhou, Tiejun; Wang, Min; Li, Chen - In: Mathematics and Computers in Simulation (MATCOM) 107 (2015) C, pp. 52-60
condition for the existence and the global exponential stability of an almost periodic solution is obtained. Two examples are …
Persistent link: https://www.econbiz.de/10011077435
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Stability analysis of almost periodic solutions for delayed neural networks without global Lipschitz activation functions
Zhou, Jun; Zhao, Weirui; Lv, Xiaohong; Zhu, Huaping - In: Mathematics and Computers in Simulation (MATCOM) 81 (2011) 11, pp. 2440-2455
In this paper, the existence and local exponential stability of the almost periodic solutions for recurrent neural networks with mixed delays have been investigated. By applying Dini derivative and introducing many real parameters, and estimating the upper bound of solutions of the system, a...
Persistent link: https://www.econbiz.de/10010749193
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Positive almost periodic solutions for shunting inhibitory cellular neural networks with time-varying delays
Cai, Mingshan; Zhang, Hong; Yuan, Zhaohui - In: Mathematics and Computers in Simulation (MATCOM) 78 (2008) 4, pp. 548-558
This paper is concerned with the existence and exponential stability of positive almost periodic solutions of shunting inhibitory cellular neural networks (SICNNs) with time-varying delays arising from the description of the states of neurons in delayed neural networks in a time-varying...
Persistent link: https://www.econbiz.de/10010750104
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Almost periodic solutions for Hopfield neural networks with continuously distributed delays
Liu, Bingwen - In: Mathematics and Computers in Simulation (MATCOM) 73 (2007) 5, pp. 327-335
In this paper Hopfield neural networks with continuously distributed delays are considered. Without assuming the global Lipschitz conditions of activation functions, sufficient conditions for the existence and exponential stability of the almost periodic solutions are established by using the...
Persistent link: https://www.econbiz.de/10010749324
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