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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 & Continuous Dynamical Systems  A, 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 & Continuous Dynamical Systems  A, 2015, 35 (10) : 51075131. doi: 10.3934/dcds.2015.35.5107 
[4] 
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 
[5] 
ChengHsiung Hsu, TingHui Yang. Traveling plane wave solutions of delayed lattice differential systems in competitive LotkaVolterra type. Discrete & Continuous Dynamical Systems  B, 2010, 14 (1) : 111128. doi: 10.3934/dcdsb.2010.14.111 
[6] 
ChinChin Wu. Monotonicity and uniqueness of wave profiles for a three components lattice dynamical system. Discrete & Continuous Dynamical Systems  A, 2017, 37 (5) : 28132827. doi: 10.3934/dcds.2017121 
[7] 
Jianhong Wu, Ruyuan Zhang. A simple delayed neural network with large capacity for associative memory. Discrete & Continuous Dynamical Systems  B, 2004, 4 (3) : 851863. doi: 10.3934/dcdsb.2004.4.851 
[8] 
Kun Li, Jianhua Huang, Xiong Li. Asymptotic behavior and uniqueness of traveling wave fronts in a delayed nonlocal dispersal competitive system. Communications on Pure & Applied Analysis, 2017, 16 (1) : 131150. doi: 10.3934/cpaa.2017006 
[9] 
Yixin Guo, Aijun Zhang. Existence and nonexistence of traveling pulses in a lateral inhibition neural network. Discrete & Continuous Dynamical Systems  B, 2016, 21 (6) : 17291755. doi: 10.3934/dcdsb.2016020 
[10] 
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 
[11] 
K. L. Mak, J. G. Peng, Z. B. Xu, K. F. C. Yiu. A novel neural network for associative memory via dynamical systems. Discrete & Continuous Dynamical Systems  B, 2006, 6 (3) : 573590. doi: 10.3934/dcdsb.2006.6.573 
[12] 
HuiQiang Ma, NanJing Huang. Neural network smoothing approximation method for stochastic variational inequality problems. Journal of Industrial & Management Optimization, 2015, 11 (2) : 645660. doi: 10.3934/jimo.2015.11.645 
[13] 
Lidong Liu, Fajie Wei, Shenghan Zhou. Major project risk assessment method based on BP neural network. Discrete & Continuous Dynamical Systems  S, 2019, 12 (4&5) : 10531064. doi: 10.3934/dcdss.2019072 
[14] 
Jibin Li, Yi Zhang. On the traveling wave solutions for a nonlinear diffusionconvection equation: Dynamical system approach. Discrete & Continuous Dynamical Systems  B, 2010, 14 (3) : 11191138. doi: 10.3934/dcdsb.2010.14.1119 
[15] 
E. S. Van Vleck, Aijun Zhang. Competing interactions and traveling wave solutions in lattice differential equations. Communications on Pure & Applied Analysis, 2016, 15 (2) : 457475. doi: 10.3934/cpaa.2016.15.457 
[16] 
Sanjay K. Mazumdar, ChengChew Lim. A neural network based antiskid brake system. Discrete & Continuous Dynamical Systems  A, 1999, 5 (2) : 321338. doi: 10.3934/dcds.1999.5.321 
[17] 
WanTong Li, Guo Lin, Cong Ma, FeiYing Yang. Traveling wave solutions of a nonlocal delayed SIR model without outbreak threshold. Discrete & Continuous Dynamical Systems  B, 2014, 19 (2) : 467484. doi: 10.3934/dcdsb.2014.19.467 
[18] 
Ying Sue Huang. Resynchronization of delayed neural networks. Discrete & Continuous Dynamical Systems  A, 2001, 7 (2) : 397401. doi: 10.3934/dcds.2001.7.397 
[19] 
CuiPing Cheng, WanTong Li, ZhiCheng Wang. Asymptotic stability of traveling wavefronts in a delayed population model with stage structure on a twodimensional spatial lattice. Discrete & Continuous Dynamical Systems  B, 2010, 13 (3) : 559575. doi: 10.3934/dcdsb.2010.13.559 
[20] 
FangDi Dong, WanTong Li, Li Zhang. Entire solutions in a twodimensional nonlocal lattice dynamical system. Communications on Pure & Applied Analysis, 2018, 17 (6) : 25172545. doi: 10.3934/cpaa.2018120 
2018 Impact Factor: 1.143
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