Liu, Yang; Wang, Zhen; Huang, Xia Multistability analysis of state-dependent switched Hopfield neural networks with the Gaussian-wavelet-type activation function. (English) Zbl 07487727 Math. Comput. Simul. 196, 232-250 (2022). MSC: 92-XX 34-XX PDF BibTeX XML Cite \textit{Y. Liu} et al., Math. Comput. Simul. 196, 232--250 (2022; Zbl 07487727) Full Text: DOI OpenURL
Rajakumar, Alfred; Rinzel, John; Chen, Zhe S. Stimulus-driven and spontaneous dynamics in excitatory-inhibitory recurrent neural networks for sequence representation. (English) Zbl 1483.92019 Neural Comput. 33, No. 10, 2603-2645 (2021). MSC: 92B20 PDF BibTeX XML Cite \textit{A. Rajakumar} et al., Neural Comput. 33, No. 10, 2603--2645 (2021; Zbl 1483.92019) Full Text: DOI OpenURL
Bunimovich, Leonid; Passey, D. J.; Smith, Dallas; Webb, Benjamin Spectral and dynamic consequences of network specialization. (English) Zbl 1442.90025 Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 6, Article ID 2050091, 32 p. (2020). MSC: 90B10 90C31 PDF BibTeX XML Cite \textit{L. Bunimovich} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 30, No. 6, Article ID 2050091, 32 p. (2020; Zbl 1442.90025) Full Text: DOI arXiv OpenURL
Reber, David; Webb, Benjamin Intrinsic stability: stability of dynamical networks and switched systems with any type of time-delays. (English) Zbl 1443.37029 Nonlinearity 33, No. 6, 2660-2685 (2020). MSC: 37C75 37C20 93C30 PDF BibTeX XML Cite \textit{D. Reber} and \textit{B. Webb}, Nonlinearity 33, No. 6, 2660--2685 (2020; Zbl 1443.37029) Full Text: DOI arXiv OpenURL
Liu, Yunfeng; Tan, Manchun; Xu, Desheng Coexistence and local \(\mu\)-stability of multiple equilibrium points for complex-valued Cohen-Grossberg neural networks with unbounded time-varying delays. (English) Zbl 1392.34024 Nonlinear Dyn. 91, No. 4, 2369-2388 (2018). MSC: 34B45 92B20 34D20 PDF BibTeX XML Cite \textit{Y. Liu} et al., Nonlinear Dyn. 91, No. 4, 2369--2388 (2018; Zbl 1392.34024) Full Text: DOI OpenURL
Liu, Peng; Zeng, Zhigang; Wang, Jun Multistability of delayed recurrent neural networks with Mexican hat activation functions. (English) Zbl 1482.34174 Neural Comput. 29, No. 2, 423-457 (2017). MSC: 34K20 34K21 92B20 PDF BibTeX XML Cite \textit{P. Liu} et al., Neural Comput. 29, No. 2, 423--457 (2017; Zbl 1482.34174) Full Text: DOI OpenURL
Xu, Fang; Liu, Lingling; Xiao, Jianying Analysis of the equilibrium points of background neural networks with uniform firing rate. (English) Zbl 1444.92003 Adv. Difference Equ. 2017, Paper No. 314, 11 p. (2017). MSC: 92B20 34K20 92C20 PDF BibTeX XML Cite \textit{F. Xu} et al., Adv. Difference Equ. 2017, Paper No. 314, 11 p. (2017; Zbl 1444.92003) Full Text: DOI OpenURL
Chen, Wu-Hua; Luo, Shixian; Lu, Xiaomei Multistability in a class of stochastic delayed Hopfield neural networks. (English) Zbl 1398.34119 Neural Netw. 68, 52-61 (2015). MSC: 34K50 34K20 92B20 PDF BibTeX XML Cite \textit{W.-H. Chen} et al., Neural Netw. 68, 52--61 (2015; Zbl 1398.34119) Full Text: DOI OpenURL
Song, Zigen; Xu, Jian; Zhen, Bin Multitype activity coexistence in an inertial two-neuron system with multiple delays. (English) Zbl 1330.34125 Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 13, Article ID 1530040, 18 p. (2015). MSC: 34K60 92C20 34K21 34K20 34K18 34K13 34K23 PDF BibTeX XML Cite \textit{Z. Song} et al., Int. J. Bifurcation Chaos Appl. Sci. Eng. 25, No. 13, Article ID 1530040, 18 p. (2015; Zbl 1330.34125) Full Text: DOI OpenURL
Rahman, B.; Blyuss, K. B.; Kyrychko, Y. N. Dynamics of neural systems with discrete and distributed time delays. (English) Zbl 1371.92019 SIAM J. Appl. Dyn. Syst. 14, No. 4, 2069-2095 (2015). MSC: 92B20 34K20 37N25 PDF BibTeX XML Cite \textit{B. Rahman} et al., SIAM J. Appl. Dyn. Syst. 14, No. 4, 2069--2095 (2015; Zbl 1371.92019) Full Text: DOI OpenURL
Qin, Sitian; Wang, Jun; Xue, Xiaoping Convergence and attractivity of memristor-based cellular neural networks with time delays. (English) Zbl 1328.34056 Neural Netw. 63, 223-233 (2015). MSC: 34K09 34K12 35K25 92B20 PDF BibTeX XML Cite \textit{S. Qin} et al., Neural Netw. 63, 223--233 (2015; Zbl 1328.34056) Full Text: DOI OpenURL
Nie, Xiaobing; Cao, Jinde; Fei, Shumin Multistability and instability of competitive neural networks with Mexican-hat-type activation functions. (English) Zbl 1474.34358 Abstr. Appl. Anal. 2014, Article ID 901519, 20 p. (2014). MSC: 34D05 92B20 PDF BibTeX XML Cite \textit{X. Nie} et al., Abstr. Appl. Anal. 2014, Article ID 901519, 20 p. (2014; Zbl 1474.34358) Full Text: DOI OpenURL
Huang, Yujiao; Zhang, Huaguang; Wang, Zhanshan Multistability of complex-valued recurrent neural networks with real-imaginary-type activation functions. (English) Zbl 1364.92003 Appl. Math. Comput. 229, 187-200 (2014). MSC: 92B20 34D20 PDF BibTeX XML Cite \textit{Y. Huang} et al., Appl. Math. Comput. 229, 187--200 (2014; Zbl 1364.92003) Full Text: DOI OpenURL
Wang, Lili; Chen, Tianping Multiple \(\mu\)-stability of neural networks with unbounded time-varying delays. (English) Zbl 1307.93365 Neural Netw. 53, 109-118 (2014). MSC: 93D99 93C15 34H05 92B20 PDF BibTeX XML Cite \textit{L. Wang} and \textit{T. Chen}, Neural Netw. 53, 109--118 (2014; Zbl 1307.93365) Full Text: DOI OpenURL
Chiu, Kuo-Shou; Pinto, Manuel; Jeng, Jyh-Cheng Existence and global convergence of periodic solutions in recurrent neural network models with a general piecewise alternately advanced and retarded argument. (English) Zbl 1315.34073 Acta Appl. Math. 133, No. 1, 133-152 (2014). MSC: 34K13 34K20 92B20 PDF BibTeX XML Cite \textit{K.-S. Chiu} et al., Acta Appl. Math. 133, No. 1, 133--152 (2014; Zbl 1315.34073) Full Text: DOI OpenURL
Zhang, Huaguang; Huang, Yujiao; Cai, Tiaoyang; Wang, Zhanshan Dynamical stability analysis of delayed recurrent neural networks with ring structure. (English) Zbl 1293.92004 Int. J. Mod. Phys. B 28, No. 19, Article ID 1450118, 14 p. (2014). MSC: 92B20 34D20 PDF BibTeX XML Cite \textit{H. Zhang} et al., Int. J. Mod. Phys. B 28, No. 19, Article ID 1450118, 14 p. (2014; Zbl 1293.92004) Full Text: DOI OpenURL
Huang, Yujiao; Zhang, Huaguang; Wang, Zhanshan Multistability and multiperiodicity of delayed bidirectional associative memory neural networks with discontinuous activation functions. (English) Zbl 1291.34115 Appl. Math. Comput. 219, No. 3, 899-910 (2012). MSC: 34K20 34K21 92B20 47N20 34K13 PDF BibTeX XML Cite \textit{Y. Huang} et al., Appl. Math. Comput. 219, No. 3, 899--910 (2012; Zbl 1291.34115) Full Text: DOI OpenURL
Huang, Zhenkun; Feng, Chunhua; Mohamad, Sannay Multistability analysis for a general class of delayed Cohen-Grossberg neural networks. (English) Zbl 1256.93086 Inf. Sci. 187, 233-244 (2012). MSC: 93D20 92B20 PDF BibTeX XML Cite \textit{Z. Huang} et al., Inf. Sci. 187, 233--244 (2012; Zbl 1256.93086) Full Text: DOI OpenURL
Ge, Juhong; Xu, Jian An efficient method for studying fold-Hopf bifurcation in delayed neural networks. (English) Zbl 1248.34106 Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 5, 1393-1406 (2011). MSC: 34K18 92B20 34K20 34K13 34K21 PDF BibTeX XML Cite \textit{J. Ge} and \textit{J. Xu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 5, 1393--1406 (2011; Zbl 1248.34106) Full Text: DOI OpenURL
Huang, Zhenkun \(\mathcal A_\pi\)-type stability criteria in division regions for multitime-scale networks with delays. (English) Zbl 1237.34127 Math. Methods Appl. Sci. 34, No. 18, 2242-2258 (2011). Reviewer: Angela Slavova (Sofia) MSC: 34K20 92B20 34K26 PDF BibTeX XML Cite \textit{Z. Huang}, Math. Methods Appl. Sci. 34, No. 18, 2242--2258 (2011; Zbl 1237.34127) Full Text: DOI OpenURL
Kaslik, Eva; Sivasundaram, Seenith Impulsive hybrid discrete-time Hopfield neural networks with delays and multistability analysis. (English) Zbl 1225.93073 Neural Netw. 24, No. 4, 370-377 (2011). MSC: 93C55 92B20 PDF BibTeX XML Cite \textit{E. Kaslik} and \textit{S. Sivasundaram}, Neural Netw. 24, No. 4, 370--377 (2011; Zbl 1225.93073) Full Text: DOI OpenURL
Huang, ZhenKun; Wang, XingHua; Sannay, Mohamad Self-excitation of neurons leads to multiperiodicity of discrete-time neural networks with distributed delays. (English) Zbl 1227.93074 Sci. China, Inf. Sci. 54, No. 2, 305-317 (2011). MSC: 93C55 37N35 92B20 PDF BibTeX XML Cite \textit{Z. Huang} et al., Sci. China, Inf. Sci. 54, No. 2, 305--317 (2011; Zbl 1227.93074) Full Text: DOI Link OpenURL
Kaslik, Eva; Sivasundaram, Seenith Multistability in impulsive hybrid Hopfield neural networks with distributed delays. (English) Zbl 1221.34219 Nonlinear Anal., Real World Appl. 12, No. 3, 1640-1649 (2011). Reviewer: Angela Slavova (Sofia) MSC: 34K45 92B20 34K20 PDF BibTeX XML Cite \textit{E. Kaslik} and \textit{S. Sivasundaram}, Nonlinear Anal., Real World Appl. 12, No. 3, 1640--1649 (2011; Zbl 1221.34219) Full Text: DOI OpenURL
Huang, Gan; Cao, Jinde Delay-dependent multistability in recurrent neural networks. (English) Zbl 1400.34115 Neural Netw. 23, No. 2, 201-209 (2010). MSC: 34K20 34K13 34K21 92B20 PDF BibTeX XML Cite \textit{G. Huang} and \textit{J. Cao}, Neural Netw. 23, No. 2, 201--209 (2010; Zbl 1400.34115) Full Text: DOI OpenURL
Wang, Lili; Lu, Wenlian; Chen, Tianping Coexistence and local stability of multiple equilibria in neural networks with piecewise linear nondecreasing activation functions. (English) Zbl 1409.34025 Neural Netw. 23, No. 2, 189-200 (2010). MSC: 34A36 34C05 34D20 92B20 34D05 PDF BibTeX XML Cite \textit{L. Wang} et al., Neural Netw. 23, No. 2, 189--200 (2010; Zbl 1409.34025) Full Text: DOI OpenURL
Huang, Zhenkun; Mohamad, Sannay; Feng, Chunhua New results on exponential attractivity of multiple almost periodic solutions of cellular neural networks with time-varying delays. (English) Zbl 1205.34085 Math. Comput. Modelling 52, No. 9-10, 1521-1531 (2010). MSC: 34K14 34K20 37N25 92B20 PDF BibTeX XML Cite \textit{Z. Huang} et al., Math. Comput. Modelling 52, No. 9--10, 1521--1531 (2010; Zbl 1205.34085) Full Text: DOI OpenURL
Cheng, Chang-Yuan Coexistence of multistability and chaos in a ring of discrete neural network with delays. (English) Zbl 1193.39007 Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 4, 1119-1136 (2010). MSC: 39A30 92B20 39A33 PDF BibTeX XML Cite \textit{C.-Y. Cheng}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 20, No. 4, 1119--1136 (2010; Zbl 1193.39007) Full Text: DOI OpenURL
Huang, Zhenkun; Mohamad, Sannay; Feng, Chunhua; Cai, Guorong Coexistence of \(2N\) domains of attraction of nonautonomous neural networks with time-varying delays. (English) Zbl 1185.34073 Appl. Math. Modelling 34, No. 1, 80-91 (2010). MSC: 34D45 34K40 PDF BibTeX XML Cite \textit{Z. Huang} et al., Appl. Math. Modelling 34, No. 1, 80--91 (2010; Zbl 1185.34073) Full Text: DOI OpenURL
Huang, Zhenkun; Mohamad, Sannay; Bin, Honghua Multistability of HNNs with almost periodic stimuli and continuously distributed delays. (English) Zbl 1291.93266 Int. J. Syst. Sci. 40, No. 6, 615-625 (2009). MSC: 93D20 93C15 92B20 47N10 93D05 PDF BibTeX XML Cite \textit{Z. Huang} et al., Int. J. Syst. Sci. 40, No. 6, 615--625 (2009; Zbl 1291.93266) Full Text: DOI OpenURL
Zhao, Kaihong; Li, Yongkun Robust stability analysis of fuzzy neural network with delays. (English) Zbl 1190.93080 Math. Probl. Eng. 2009, Article ID 826908, 13 p. (2009). MSC: 93D09 93C42 92B20 PDF BibTeX XML Cite \textit{K. Zhao} and \textit{Y. Li}, Math. Probl. Eng. 2009, Article ID 826908, 13 p. (2009; Zbl 1190.93080) Full Text: DOI EuDML OpenURL
Huang, Zhenkun; Li, Xuezhi; Mohamad, Sannay; Lu, Zhengyi Robust stability analysis of static neural network with S-type distributed delays. (English) Zbl 1168.34353 Appl. Math. Modelling 33, No. 2, 760-769 (2009). MSC: 34K20 92B20 93D09 PDF BibTeX XML Cite \textit{Z. Huang} et al., Appl. Math. Modelling 33, No. 2, 760--769 (2009; Zbl 1168.34353) Full Text: DOI OpenURL
Nie, Xiaobing; Cao, Jinde Multistability of competitive neural networks with time-varying and distributed delays. (English) Zbl 1167.34383 Nonlinear Anal., Real World Appl. 10, No. 2, 928-942 (2009). MSC: 34K20 92B20 37N25 PDF BibTeX XML Cite \textit{X. Nie} and \textit{J. Cao}, Nonlinear Anal., Real World Appl. 10, No. 2, 928--942 (2009; Zbl 1167.34383) Full Text: DOI OpenURL
Huang, Zhenkun; Mohamad, Sannay; Cai, Guorong 2\(^N\) almost periodic attractors for CNNs with variable and distributed delays. (English) Zbl 1176.34086 J. Franklin Inst. 346, No. 4, 391-412 (2009). MSC: 34K14 92B20 34K20 47N20 34K25 PDF BibTeX XML Cite \textit{Z. Huang} et al., J. Franklin Inst. 346, No. 4, 391--412 (2009; Zbl 1176.34086) Full Text: DOI OpenURL
Friedman, Avner; Kao, Chiu-Yen; Shih, Chih-Wen Asymptotic phases in a cell differentiation model. (English) Zbl 1173.35590 J. Differ. Equations 247, No. 3, 736-769 (2009). MSC: 35L65 35B40 92C37 PDF BibTeX XML Cite \textit{A. Friedman} et al., J. Differ. Equations 247, No. 3, 736--769 (2009; Zbl 1173.35590) Full Text: DOI OpenURL
Cheng, Chang-Yuan; Shih, Chih-Wen Complete stability in multistable delayed neural networks. (English) Zbl 1178.68401 Neural Comput. 21, No. 3, 719-740 (2009). MSC: 68T05 PDF BibTeX XML Cite \textit{C.-Y. Cheng} and \textit{C.-W. Shih}, Neural Comput. 21, No. 3, 719--740 (2009; Zbl 1178.68401) Full Text: DOI OpenURL
Huang, Gan; Cao, Jinde Multistability of neural networks with discontinuous activation function. (English) Zbl 1221.34131 Commun. Nonlinear Sci. Numer. Simul. 13, No. 10, 2279-2289 (2008). MSC: 34D05 92B20 PDF BibTeX XML Cite \textit{G. Huang} and \textit{J. Cao}, Commun. Nonlinear Sci. Numer. Simul. 13, No. 10, 2279--2289 (2008; Zbl 1221.34131) Full Text: DOI OpenURL
Liao, Xiaoxin; Luo, Qi; Zeng, Zhigang; Guo, Yunxia Global exponential stability in Lagrange sense for recurrent neural networks with time delays. (English) Zbl 1154.34384 Nonlinear Anal., Real World Appl. 9, No. 4, 1535-1557 (2008). MSC: 34K20 37N25 92B20 PDF BibTeX XML Cite \textit{X. Liao} et al., Nonlinear Anal., Real World Appl. 9, No. 4, 1535--1557 (2008; Zbl 1154.34384) Full Text: DOI OpenURL
Chen, Yuming; Wu, Jianhong Complete classification of equilibria and their stability in a delayed neuron network. (English) Zbl 1149.34348 Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 7, 2017-2027 (2008). MSC: 34K60 92B20 34K20 PDF BibTeX XML Cite \textit{Y. Chen} and \textit{J. Wu}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 18, No. 7, 2017--2027 (2008; Zbl 1149.34348) Full Text: DOI OpenURL
Cao, Jinde; Feng, Gang; Wang, Yanyan Multistability and multiperiodicity of delayed Cohen-Grossberg neural networks with a general class of activation functions. (English) Zbl 1161.34044 Physica D 237, No. 13, 1734-1749 (2008). Reviewer: Gani T. Stamov (Sliven) MSC: 34K20 92B20 34K13 PDF BibTeX XML Cite \textit{J. Cao} et al., Physica D 237, No. 13, 1734--1749 (2008; Zbl 1161.34044) Full Text: DOI OpenURL
Lin, Kuang-Hui; Shih, Chih-Wen Multiple almost periodic solutions in nonautonomous delayed neural networks. (English) Zbl 1146.68419 Neural Comput. 19, No. 12, 3392-3420 (2007). MSC: 68T05 PDF BibTeX XML Cite \textit{K.-H. Lin} and \textit{C.-W. Shih}, Neural Comput. 19, No. 12, 3392--3420 (2007; Zbl 1146.68419) Full Text: DOI OpenURL
Cheng, Chang-Yuan; Lin, Kuang-Hui; Shih, Chih-Wen Multistability and convergence in delayed neural networks. (English) Zbl 1132.34058 Physica D 225, No. 1, 61-74 (2007). Reviewer: Oleg Anashkin (Simferopol) MSC: 34K25 34K20 92B20 PDF BibTeX XML Cite \textit{C.-Y. Cheng} et al., Physica D 225, No. 1, 61--74 (2007; Zbl 1132.34058) Full Text: DOI OpenURL