
Previous Article
Dynamic bifurcation theory of RayleighBénard convection with infinite Prandtl number
 DCDSB Home
 This Issue

Next Article
Bifurcations in a discrete time LotkaVolterra predatorprey system
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 
[1] 
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 
[2] 
Jianfeng Feng, Mariya Shcherbina, Brunello Tirozzi. Stability of the dynamics of an asymmetric neural network. Communications on Pure & Applied Analysis, 2009, 8 (2) : 655671. doi: 10.3934/cpaa.2009.8.655 
[3] 
ShyanShiou Chen, ChihWen Shih. Asymptotic behaviors in a transiently chaotic neural network. Discrete & Continuous Dynamical Systems  A, 2004, 10 (3) : 805826. doi: 10.3934/dcds.2004.10.805 
[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] 
Ndolane Sene. Fractional input stability and its application to neural network. Discrete & Continuous Dynamical Systems  S, 2020, 13 (3) : 853865. doi: 10.3934/dcdss.2020049 
[6] 
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 
[7] 
LeongKwan Li, Sally Shao. Convergence analysis of the weighted state space search algorithm for recurrent neural networks. Numerical Algebra, Control & Optimization, 2014, 4 (3) : 193207. doi: 10.3934/naco.2014.4.193 
[8] 
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 & Continuous Dynamical Systems  S, 2019, 12 (4&5) : 901901. doi: 10.3934/dcdss.2019060 
[10] 
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 & Management Optimization, 2011, 7 (2) : 385400. doi: 10.3934/jimo.2011.7.385 
[11] 
LaSu Mai, Kaijun Zhang. Asymptotic stability of steady state solutions for the relativistic EulerPoisson equations. Discrete & Continuous Dynamical Systems  A, 2016, 36 (2) : 9811004. doi: 10.3934/dcds.2016.36.981 
[12] 
Takashi Suzuki, Shuji Yoshikawa. Stability of the steady state for multidimensional thermoelastic systems of shape memory alloys. Discrete & Continuous Dynamical Systems  S, 2012, 5 (1) : 209217. doi: 10.3934/dcdss.2012.5.209 
[13] 
King Hann Lim, Hong Hui Tan, Hendra G. Harno. Approximate greatest descent in neural network optimization. Numerical Algebra, Control & Optimization, 2018, 8 (3) : 327336. doi: 10.3934/naco.2018021 
[14] 
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 
[15] 
Xiaojun Zhou, Chunhua Yang, Weihua Gui. State transition algorithm. Journal of Industrial & Management Optimization, 2012, 8 (4) : 10391056. doi: 10.3934/jimo.2012.8.1039 
[16] 
Jiangtao Mo, Liqun Qi, Zengxin Wei. A network simplex algorithm for simple manufacturing network model. Journal of Industrial & Management Optimization, 2005, 1 (2) : 251273. doi: 10.3934/jimo.2005.1.251 
[17] 
Chufen Wu, Dongmei Xiao, XiaoQiang Zhao. Asymptotic pattern of a migratory and nonmonotone population model. Discrete & Continuous Dynamical Systems  B, 2014, 19 (4) : 11711195. doi: 10.3934/dcdsb.2014.19.1171 
[18] 
Junping Shi, Jimin Zhang, Xiaoyan Zhang. Stability and asymptotic profile of steady state solutions to a reactiondiffusion pelagicbenthic algae growth model. Communications on Pure & Applied Analysis, 2019, 18 (5) : 23252347. doi: 10.3934/cpaa.2019105 
[19] 
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 & Continuous Dynamical Systems  A, 2019, 39 (7) : 38973921. doi: 10.3934/dcds.2019157 
[20] 
Miguel A. Dumett, Roberto Cominetti. On the stability of an adaptive learning dynamics in traffic games. Journal of Dynamics & Games, 2018, 5 (4) : 265282. doi: 10.3934/jdg.2018017 
2018 Impact Factor: 1.008
Tools
Metrics
Other articles
by authors
[Back to Top]