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A novel neural network for associative memory via dynamical systems
1.  Department of Industrial and Manufacturing Systems Engineering, The University of Hong Kong, Pokfulam Road, Hong Kong, China, China 
2.  Institute for Information and System Science, Faculty of Science, Xi'an Jiaotong University, Xi'an 710049, China, China 
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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 
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Jianfeng Feng, Mariya Shcherbina, Brunello Tirozzi. Stability of the dynamics of an asymmetric neural network. Communications on Pure and Applied Analysis, 2009, 8 (2) : 655671. doi: 10.3934/cpaa.2009.8.655 
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ShyanShiou Chen, ChihWen Shih. Asymptotic behaviors in a transiently chaotic neural network. Discrete and Continuous Dynamical Systems, 2004, 10 (3) : 805826. doi: 10.3934/dcds.2004.10.805 
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Ndolane Sene. Fractional input stability and its application to neural network. Discrete and Continuous Dynamical Systems  S, 2020, 13 (3) : 853865. doi: 10.3934/dcdss.2020049 
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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 
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LeongKwan Li, Sally Shao. Convergence analysis of the weighted state space search algorithm for recurrent neural networks. Numerical Algebra, Control and Optimization, 2014, 4 (3) : 193207. doi: 10.3934/naco.2014.4.193 
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Danilo Costarelli, Gianluca Vinti. Asymptotic expansions and Voronovskaja type theorems for the multivariate neural network operators. Mathematical Foundations of Computing, 2020, 3 (1) : 4150. doi: 10.3934/mfc.2020004 
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Rui Hu, Yuan Yuan. Stability, bifurcation analysis in a neural network model with delay and diffusion. Conference Publications, 2009, 2009 (Special) : 367376. doi: 10.3934/proc.2009.2009.367 
[9] 
Editorial Office. Retraction: Honggang Yu, An efficient face recognition algorithm using the improved convolutional neural network. Discrete and Continuous Dynamical Systems  S, 2019, 12 (4&5) : 901901. doi: 10.3934/dcdss.2019060 
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LeongKwan Li, Sally Shao, K. F. Cedric Yiu. Nonlinear dynamical system modeling via recurrent neural networks and a weighted state space search algorithm. Journal of Industrial and Management Optimization, 2011, 7 (2) : 385400. doi: 10.3934/jimo.2011.7.385 
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KuoShou Chiu. Periodicity and stability analysis of impulsive neural network models with generalized piecewise constant delays. Discrete and Continuous Dynamical Systems  B, 2022, 27 (2) : 659689. doi: 10.3934/dcdsb.2021060 
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Ling Zhang, Xiaoqi Sun. Stability analysis of timevarying delay neural network for convex quadratic programming with equality constraints and inequality constraints. Discrete and Continuous Dynamical Systems  B, 2022 doi: 10.3934/dcdsb.2022035 
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LaSu Mai, Kaijun Zhang. Asymptotic stability of steady state solutions for the relativistic EulerPoisson equations. Discrete and Continuous Dynamical Systems, 2016, 36 (2) : 9811004. doi: 10.3934/dcds.2016.36.981 
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Takashi Suzuki, Shuji Yoshikawa. Stability of the steady state for multidimensional thermoelastic systems of shape memory alloys. Discrete and Continuous Dynamical Systems  S, 2012, 5 (1) : 209217. doi: 10.3934/dcdss.2012.5.209 
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Ken Shirakawa. Asymptotic stability for dynamical systems associated with the onedimensional Frémond model of shape memory alloys. Conference Publications, 2003, 2003 (Special) : 798808. doi: 10.3934/proc.2003.2003.798 
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Xiaojun Zhou, Chunhua Yang, Weihua Gui. State transition algorithm. Journal of Industrial and Management Optimization, 2012, 8 (4) : 10391056. doi: 10.3934/jimo.2012.8.1039 
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Jiangtao Mo, Liqun Qi, Zengxin Wei. A network simplex algorithm for simple manufacturing network model. Journal of Industrial and Management Optimization, 2005, 1 (2) : 251273. doi: 10.3934/jimo.2005.1.251 
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King Hann Lim, Hong Hui Tan, Hendra G. Harno. Approximate greatest descent in neural network optimization. Numerical Algebra, Control and Optimization, 2018, 8 (3) : 327336. doi: 10.3934/naco.2018021 
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Chufen Wu, Dongmei Xiao, XiaoQiang Zhao. Asymptotic pattern of a migratory and nonmonotone population model. Discrete and Continuous Dynamical Systems  B, 2014, 19 (4) : 11711195. doi: 10.3934/dcdsb.2014.19.1171 
[20] 
Hayato Chiba, Georgi S. Medvedev. The mean field analysis of the kuramoto model on graphs Ⅱ. asymptotic stability of the incoherent state, center manifold reduction, and bifurcations. Discrete and Continuous Dynamical Systems, 2019, 39 (7) : 38973921. doi: 10.3934/dcds.2019157 
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