Li, Liangchen; Xu, Rui; Gan, Qintao; Lin, Jiazhe A switching control for finite-time synchronization of memristor-based BAM neural networks with stochastic disturbances. (English) Zbl 1455.34084 Nonlinear Anal., Model. Control 25, No. 6, 958-979 (2020). MSC: 34K60 34K24 92B20 94C60 34K35 34K50 34K27 PDFBibTeX XMLCite \textit{L. Li} et al., Nonlinear Anal., Model. Control 25, No. 6, 958--979 (2020; Zbl 1455.34084) Full Text: DOI
Lin, Jiazhe; Xu, Rui; Li, Liangchen Turing-Hopf bifurcation of reaction-diffusion neural networks with leakage delay. (English) Zbl 1450.35049 Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105241, 15 p. (2020). MSC: 35B32 35B36 35K51 35K57 92B20 PDFBibTeX XMLCite \textit{J. Lin} et al., Commun. Nonlinear Sci. Numer. Simul. 85, Article ID 105241, 15 p. (2020; Zbl 1450.35049) Full Text: DOI
Lin, Jiazhe; Xu, Rui; Tian, Xiaohong Pattern formation in reaction-diffusion neural networks with leakage delay. (English) Zbl 1461.35041 J. Appl. Anal. Comput. 9, No. 6, 2224-2244 (2019). MSC: 35B36 35K57 35K51 35B32 35R10 92B20 PDFBibTeX XMLCite \textit{J. Lin} et al., J. Appl. Anal. Comput. 9, No. 6, 2224--2244 (2019; Zbl 1461.35041) Full Text: DOI
Lin, Jiazhe; Xu, Rui; Li, Liangchen Effect of leakage delay on Hopf bifurcation in a fractional BAM neural network. (English) Zbl 1423.34090 Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 6, Article ID 1950077, 15 p. (2019). MSC: 34K37 34K18 34K20 92B20 34K13 PDFBibTeX XMLCite \textit{J. Lin} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 29, No. 6, Article ID 1950077, 15 p. (2019; Zbl 1423.34090) Full Text: DOI arXiv
Wang, Lili; Xu, Rui; Wang, Zhiqiang Synchronization analysis for stochastic reaction-diffusion Cohen-Grossberg neural networks with Neumann boundary conditions via periodically intermittent control. (English) Zbl 1444.35103 Adv. Difference Equ. 2017, Paper No. 141, 20 p. (2017). MSC: 35K57 35Q93 92B20 PDFBibTeX XMLCite \textit{L. Wang} et al., Adv. Difference Equ. 2017, Paper No. 141, 20 p. (2017; Zbl 1444.35103) Full Text: DOI
Liu, Jian; Xu, Rui Passivity analysis and state estimation for a class of memristor-based neural networks with multiple proportional delays. (English) Zbl 1422.92007 Adv. Difference Equ. 2017, Paper No. 34, 20 p. (2017). MSC: 92B20 62F12 PDFBibTeX XMLCite \textit{J. Liu} and \textit{R. Xu}, Adv. Difference Equ. 2017, Paper No. 34, 20 p. (2017; Zbl 1422.92007) Full Text: DOI
Tian, Xiaohong; Xu, Rui Bifurcation analysis of fractional-order neural network with time delays in leakage terms. (English) Zbl 1389.34249 Math. Appl. 30, No. 2, 350-358 (2017). MSC: 34K37 34K18 92B20 34K20 34K13 PDFBibTeX XMLCite \textit{X. Tian} and \textit{R. Xu}, Math. Appl. 30, No. 2, 350--358 (2017; Zbl 1389.34249)
Tian, Xiaohong; Xu, Rui Stability and Hopf bifurcation of a delayed Cohen-Grossberg neural network with diffusion. (English) Zbl 1357.35037 Math. Methods Appl. Sci. 40, No. 1, 293-305 (2017). MSC: 35B32 92B20 37L10 35K51 35K58 35R09 PDFBibTeX XMLCite \textit{X. Tian} and \textit{R. Xu}, Math. Methods Appl. Sci. 40, No. 1, 293--305 (2017; Zbl 1357.35037) Full Text: DOI
Du, Yanke; Xu, Rui New synchronization criteria for an array of neural networks with hybrid coupling and time-varying delays. (English) Zbl 1482.34178 Nonlinear Anal., Model. Control 21, No. 1, 57-76 (2016). MSC: 34K24 92B20 PDFBibTeX XMLCite \textit{Y. Du} and \textit{R. Xu}, Nonlinear Anal., Model. Control 21, No. 1, 57--76 (2016; Zbl 1482.34178) Full Text: DOI
Tian, Xiaohong; Xu, Rui; Wang, Zhili Global exponential stability and Hopf bifurcation of inertial Cohen-Grossberg neural networks with time delays in leakage terms. (Chinese. English summary) Zbl 1374.34287 Appl. Math., Ser. A (Chin. Ed.) 31, No. 4, 428-440 (2016). MSC: 34K20 34K18 92B20 34K21 PDFBibTeX XMLCite \textit{X. Tian} et al., Appl. Math., Ser. A (Chin. Ed.) 31, No. 4, 428--440 (2016; Zbl 1374.34287)
Tian, Xiaohong; Xu, Rui; Gan, Qintao Hopf bifurcation analysis of a BAM neural network with multiple time delays and diffusion. (English) Zbl 1410.34208 Appl. Math. Comput. 266, 909-926 (2015). MSC: 34K18 92B20 39A12 34K20 37N25 PDFBibTeX XMLCite \textit{X. Tian} et al., Appl. Math. Comput. 266, 909--926 (2015; Zbl 1410.34208) Full Text: DOI
Geng, Lijie; Li, Haiying; Xu, Rui Adaptive synchronization of fuzzy cellular neural networks with leakage time delays. (Chinese. English summary) Zbl 1324.93066 J. Syst. Sci. Math. Sci. 34, No. 8, 925-934 (2014). MSC: 93C40 92B20 34D06 PDFBibTeX XMLCite \textit{L. Geng} et al., J. Syst. Sci. Math. Sci. 34, No. 8, 925--934 (2014; Zbl 1324.93066)
Geng, Lijie; Li, Yanlun; Xu, Rui A stability analysis on discrete-time stochastic neural networks with leakage delay. (Chinese. English summary) Zbl 1313.92007 J. Biomath. 28, No. 4, 649-655 (2013). MSC: 92B20 34D23 34D05 93D20 PDFBibTeX XMLCite \textit{L. Geng} et al., J. Biomath. 28, No. 4, 649--655 (2013; Zbl 1313.92007)
Du, Yanke; Xu, Rui Exponential stability of stochastic reaction-diffusion Cohen-Grossberg neural networks with mixed time delays and impulsive effect. (Chinese. English summary) Zbl 1313.92004 J. Biomath. 28, No. 4, 643-648 (2013). MSC: 92B20 60H15 PDFBibTeX XMLCite \textit{Y. Du} and \textit{R. Xu}, J. Biomath. 28, No. 4, 643--648 (2013; Zbl 1313.92004)
Geng, Lijie; Li, Yanlu; Xu, Rui; Wang, Lingxia Exponential synchronization of fuzzy cellular neural networks with time delay in the leakage term and impulsive effects. (Chinese. English summary) Zbl 1313.93169 Math. Pract. Theory 43, No. 18, 155-162 (2013). MSC: 93D30 92B20 93C42 PDFBibTeX XMLCite \textit{L. Geng} et al., Math. Pract. Theory 43, No. 18, 155--162 (2013; Zbl 1313.93169)
Geng, Lijie; Li, Yanlu; Xu, Rui Exponential synchronization of reaction-diffusion cellular neural networks with time delay in the leakage term and impulsive effects. (Chinese. English summary) Zbl 1299.92006 J. Beihua Univ., Nat. Sci. 14, No. 5, 502-507 (2013). MSC: 92B20 93C10 PDFBibTeX XMLCite \textit{L. Geng} et al., J. Beihua Univ., Nat. Sci. 14, No. 5, 502--507 (2013; Zbl 1299.92006)
Du, Yan-Ke; Xu, Rui; Liu, Qi-Ming Stability and bifurcation analysis for a discrete-time bidirectional ring neural network model with delay. (English) Zbl 1322.39007 Electron. J. Differ. Equ. 2013, Paper No. 198, 12 p. (2013). MSC: 39A30 37G05 92B20 PDFBibTeX XMLCite \textit{Y.-K. Du} et al., Electron. J. Differ. Equ. 2013, Paper No. 198, 12 p. (2013; Zbl 1322.39007) Full Text: EMIS
Du, Yanke; Xu, Rui; Liu, Qiming Stability and bifurcation analysis for a neural network model with discrete and distributed delays. (English) Zbl 1275.34102 Math. Methods Appl. Sci. 36, No. 1, 49-59 (2013). Reviewer: Rong Yuan (Beijing) MSC: 34K60 34K18 34K20 92B20 PDFBibTeX XMLCite \textit{Y. Du} et al., Math. Methods Appl. Sci. 36, No. 1, 49--59 (2013; Zbl 1275.34102) Full Text: DOI
Li, Zhe; Xu, Rui Stability of stochastic T-S fuzzy neural networks with time delays in the leakage terms. (Chinese. English summary) Zbl 1267.92008 J. Beihua Univ., Nat. Sci. 13, No. 3, 259-266 (2012). MSC: 92B20 03E72 34K20 PDFBibTeX XMLCite \textit{Z. Li} and \textit{R. Xu}, J. Beihua Univ., Nat. Sci. 13, No. 3, 259--266 (2012; Zbl 1267.92008)
Du, Yanke; Xu, Rui Survey on the dynamics of the recurrent neural networks with time delay. (Chinese. English summary) Zbl 1265.68134 J. Beihua Univ., Nat. Sci. 13, No. 1, 22-26 (2012). MSC: 68T05 92B20 92-02 PDFBibTeX XMLCite \textit{Y. Du} and \textit{R. Xu}, J. Beihua Univ., Nat. Sci. 13, No. 1, 22--26 (2012; Zbl 1265.68134)
Liu, Qiming; Xu, Rui Synchronization between bidirectional coupled nonautonomous delayed Cohen-Grossberg neural networks. (English) Zbl 1253.93096 Abstr. Appl. Anal. 2012, Article ID 481582, 16 p. (2012). MSC: 93D05 92B20 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{R. Xu}, Abstr. Appl. Anal. 2012, Article ID 481582, 16 p. (2012; Zbl 1253.93096) Full Text: DOI
Liu, Qiming; Xu, Rui Periodic solutions of a Cohen-Grossberg-type BAM neural networks with distributed delays and impulses. (English) Zbl 1244.93122 J. Appl. Math. 2012, Article ID 643418, 17 p. (2012). MSC: 93D05 92B20 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{R. Xu}, J. Appl. Math. 2012, Article ID 643418, 17 p. (2012; Zbl 1244.93122) Full Text: DOI
Gan, Qintao; Xu, Rui; Kang, Xibing Synchronization of unknown chaotic delayed competitive neural networks with different time scales based on adaptive control and parameter identification. (English) Zbl 1243.93067 Nonlinear Dyn. 67, No. 3, 1893-1902 (2012). MSC: 93C70 93C40 92B20 34H10 PDFBibTeX XMLCite \textit{Q. Gan} et al., Nonlinear Dyn. 67, No. 3, 1893--1902 (2012; Zbl 1243.93067) Full Text: DOI
Li, Zhe; Xu, Rui Global asymptotic stability of stochastic reaction-diffusion neural networks with time delays in the leakage terms. (English) Zbl 1239.92002 Commun. Nonlinear Sci. Numer. Simul. 17, No. 4, 1681-1689 (2012). MSC: 92B20 60H15 65C20 PDFBibTeX XMLCite \textit{Z. Li} and \textit{R. Xu}, Commun. Nonlinear Sci. Numer. Simul. 17, No. 4, 1681--1689 (2012; Zbl 1239.92002) Full Text: DOI
Gan, Qintao; Xu, Rui; Yang, Pinghua Synchronization of non-identical chaotic delayed fuzzy cellular neural networks based on sliding mode control. (English) Zbl 1239.93021 Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 433-443 (2012). MSC: 93B12 93C30 93C42 92B20 PDFBibTeX XMLCite \textit{Q. Gan} et al., Commun. Nonlinear Sci. Numer. Simul. 17, No. 1, 433--443 (2012; Zbl 1239.93021) Full Text: DOI
Liu, Qiming; Xu, Rui Stability and bifurcation of a Cohen-Grossberg neural network with discrete delays. (English) Zbl 1283.34065 Appl. Math. Comput. 218, No. 6, 2850-2862 (2011). MSC: 34K18 34K17 34K19 34K20 34K13 92B20 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{R. Xu}, Appl. Math. Comput. 218, No. 6, 2850--2862 (2011; Zbl 1283.34065) Full Text: DOI
Zhang, Xiao; Xu, Rui Robust stability of a stochastic reaction-diffusion neural network. (Chinese. English summary) Zbl 1243.92003 J. Beihua Univ., Nat. Sci. 12, No. 2, 158-162 (2011). MSC: 92B20 60H15 35K57 93D09 PDFBibTeX XMLCite \textit{X. Zhang} and \textit{R. Xu}, J. Beihua Univ., Nat. Sci. 12, No. 2, 158--162 (2011; Zbl 1243.92003)
Liu, Qiming; Xu, Rui Periodic solutions of high-order Cohen-Grossberg neural networks with distributed delays. (English) Zbl 1221.37215 Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2887-2893 (2011). MSC: 37N35 34K13 34D23 92B20 PDFBibTeX XMLCite \textit{Q. Liu} and \textit{R. Xu}, Commun. Nonlinear Sci. Numer. Simul. 16, No. 7, 2887--2893 (2011; Zbl 1221.37215) Full Text: DOI
Gan, Qintao; Xu, Rui Stability and Hopf bifurcation of a delayed reaction-diffusion neural network. (English) Zbl 1228.35041 Math. Methods Appl. Sci. 34, No. 12, 1450-1459 (2011). Reviewer: Boris V. Loginov (Ul’yanovsk) MSC: 35B35 35B32 92B20 PDFBibTeX XMLCite \textit{Q. Gan} and \textit{R. Xu}, Math. Methods Appl. Sci. 34, No. 12, 1450--1459 (2011; Zbl 1228.35041) Full Text: DOI
Liu, Qiming; Xu, Rui; Wang, Zhiping Stability and bifurcation of a class of discrete-time Cohen-Grossberg neural networks with delays. (English) Zbl 1215.39019 Discrete Dyn. Nat. Soc. 2011, Article ID 403873, 14 p. (2011). MSC: 39A28 92B20 37N25 39A30 PDFBibTeX XMLCite \textit{Q. Liu} et al., Discrete Dyn. Nat. Soc. 2011, Article ID 403873, 14 p. (2011; Zbl 1215.39019) Full Text: DOI EuDML
Rong, Xiaojian; Xu, Rui; Yang, Jianfa; Zhao, Xiaoqing Global stability of a Hopfield network with time delays. (Chinese. English summary) Zbl 1240.34357 J. Hebei Norm. Univ., Nat. Sci. Ed. 34, No. 4, 386-388 (2010). MSC: 34K20 92B20 34K21 PDFBibTeX XMLCite \textit{X. Rong} et al., J. Hebei Norm. Univ., Nat. Sci. Ed. 34, No. 4, 386--388 (2010; Zbl 1240.34357)
Gan, Qintao; Xu, Rui; Hu, Wenhua; Yang, Pinghua Bifurcation analysis for a tri-neuron discrete-time BAM neural network with delays. (English) Zbl 1198.37122 Chaos Solitons Fractals 42, No. 4, 2502-2511 (2009). MSC: 37N25 39A28 92B20 PDFBibTeX XMLCite \textit{Q. Gan} et al., Chaos Solitons Fractals 42, No. 4, 2502--2511 (2009; Zbl 1198.37122) Full Text: DOI
Gan, Qintao; Xu, Rui; Yang, Pinghua Bifurcation analysis for a neural network model with discrete and distributed delays. (English) Zbl 1142.34043 Math. Sci. Res. J. 11, No. 11, 603-613 (2007). Reviewer: Neville Ford (Chester) MSC: 34K18 34K20 92B20 PDFBibTeX XMLCite \textit{Q. Gan} et al., Math. Sci. Res. J. 11, No. 11, 603--613 (2007; Zbl 1142.34043)