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Structure of a class of traveling waves in delayed cellular neural networks
1.  Department of Mathematics, National Central University, ChungLi 32054, Taiwan, Taiwan 
[1] 
JongShenq Guo, YingChih Lin. Traveling wave solution for a lattice dynamical system with convolution type nonlinearity. Discrete and Continuous Dynamical Systems, 2012, 32 (1) : 101124. doi: 10.3934/dcds.2012.32.101 
[2] 
ChengHsiung Hsu, SuhYuh Yang. Traveling wave solutions in cellular neural networks with multiple time delays. Conference Publications, 2005, 2005 (Special) : 410419. doi: 10.3934/proc.2005.2005.410 
[3] 
Zhaoquan Xu, Jiying Ma. Monotonicity, asymptotics and uniqueness of travelling wave solution of a nonlocal delayed lattice dynamical system. Discrete and Continuous Dynamical Systems, 2015, 35 (10) : 51075131. doi: 10.3934/dcds.2015.35.5107 
[4] 
CuiPing Cheng, RuoFan An. Global stability of traveling wave fronts in a twodimensional lattice dynamical system with global interaction. Electronic Research Archive, 2021, 29 (5) : 35353550. doi: 10.3934/era.2021051 
[5] 
Ying Sue Huang, Chai Wah Wu. Stability of cellular neural network with small delays. Conference Publications, 2005, 2005 (Special) : 420426. doi: 10.3934/proc.2005.2005.420 
[6] 
ChengHsiung Hsu, TingHui Yang. Traveling plane wave solutions of delayed lattice differential systems in competitive LotkaVolterra type. Discrete and Continuous Dynamical Systems  B, 2010, 14 (1) : 111128. doi: 10.3934/dcdsb.2010.14.111 
[7] 
ChinChin Wu. Monotonicity and uniqueness of wave profiles for a three components lattice dynamical system. Discrete and Continuous Dynamical Systems, 2017, 37 (5) : 28132827. doi: 10.3934/dcds.2017121 
[8] 
Adnène Arbi, Jinde Cao, Mohssine Essaiydy, Mohammed Zarhouni, Mohamed Zitane. Dynamics of delayed cellular neural networks in the Stepanov pseudo almost automorphic space. Discrete and Continuous Dynamical Systems  S, 2022, 15 (11) : 30973109. doi: 10.3934/dcdss.2022136 
[9] 
Kun Li, Jianhua Huang, Xiong Li. Asymptotic behavior and uniqueness of traveling wave fronts in a delayed nonlocal dispersal competitive system. Communications on Pure and Applied Analysis, 2017, 16 (1) : 131150. doi: 10.3934/cpaa.2017006 
[10] 
Jianhong Wu, Ruyuan Zhang. A simple delayed neural network with large capacity for associative memory. Discrete and Continuous Dynamical Systems  B, 2004, 4 (3) : 851863. doi: 10.3934/dcdsb.2004.4.851 
[11] 
Yixin Guo, Aijun Zhang. Existence and nonexistence of traveling pulses in a lateral inhibition neural network. Discrete and Continuous Dynamical Systems  B, 2016, 21 (6) : 17291755. doi: 10.3934/dcdsb.2016020 
[12] 
Chuangxia Huang, Hedi Yang, Jinde Cao. Weighted pseudo almost periodicity of multiproportional delayed shunting inhibitory cellular neural networks with D operator. Discrete and Continuous Dynamical Systems  S, 2021, 14 (4) : 12591272. doi: 10.3934/dcdss.2020372 
[13] 
SuhYuh Yang, ChengHsiung Hsu. Existence of monotonic traveling waves in modified RTDbased cellular neural networks. Conference Publications, 2005, 2005 (Special) : 930939. doi: 10.3934/proc.2005.2005.930 
[14] 
Jibin Li, Yi Zhang. On the traveling wave solutions for a nonlinear diffusionconvection equation: Dynamical system approach. Discrete and Continuous Dynamical Systems  B, 2010, 14 (3) : 11191138. doi: 10.3934/dcdsb.2010.14.1119 
[15] 
K. L. Mak, J. G. Peng, Z. B. Xu, K. F. C. Yiu. A novel neural network for associative memory via dynamical systems. Discrete and Continuous Dynamical Systems  B, 2006, 6 (3) : 573590. doi: 10.3934/dcdsb.2006.6.573 
[16] 
Shuxia Pan, Shengnan Hao. Bistable traveling waves in a delayed competitive system. Discrete and Continuous Dynamical Systems  B, 2022 doi: 10.3934/dcdsb.2022148 
[17] 
E. S. Van Vleck, Aijun Zhang. Competing interactions and traveling wave solutions in lattice differential equations. Communications on Pure and Applied Analysis, 2016, 15 (2) : 457475. doi: 10.3934/cpaa.2016.15.457 
[18] 
ChengHsiung Hsu, JianJhong Lin. Stability analysis of traveling wave solutions for lattice reactiondiffusion equations. Discrete and Continuous Dynamical Systems  B, 2020, 25 (5) : 17571774. doi: 10.3934/dcdsb.2020001 
[19] 
HuiQiang Ma, NanJing Huang. Neural network smoothing approximation method for stochastic variational inequality problems. Journal of Industrial and Management Optimization, 2015, 11 (2) : 645660. doi: 10.3934/jimo.2015.11.645 
[20] 
Weishi Yin, Jiawei Ge, Pinchao Meng, Fuheng Qu. A neural network method for the inverse scattering problem of impenetrable cavities. Electronic Research Archive, 2020, 28 (2) : 11231142. doi: 10.3934/era.2020062 
2021 Impact Factor: 1.588
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