{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,9]],"date-time":"2026-05-09T06:32:03Z","timestamp":1778308323297,"version":"3.51.4"},"reference-count":26,"publisher":"Springer Science and Business Media LLC","issue":"7-8","license":[{"start":{"date-parts":[[2012,5,24]],"date-time":"2012-05-24T00:00:00Z","timestamp":1337817600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Comput &amp; Applic"],"published-print":{"date-parts":[[2013,12]]},"DOI":"10.1007\/s00521-012-0954-x","type":"journal-article","created":{"date-parts":[[2012,5,23]],"date-time":"2012-05-23T14:23:26Z","timestamp":1337783006000},"page":"1963-1967","source":"Crossref","is-referenced-by-count":50,"title":["Multistability of periodic delayed recurrent neural network with memristors"],"prefix":"10.1007","volume":"23","author":[{"given":"Gang","family":"Bao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Zhigang","family":"Zeng","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,5,24]]},"reference":[{"key":"954_CR1","doi-asserted-by":"crossref","first-page":"1257","DOI":"10.1109\/31.7600","volume":"35","author":"LO Chua","year":"1988","unstructured":"Chua LO, Yang L (1988) Cellular neural networks: theory. IEEE Trans Circuits Syst 35:1257\u20131272","journal-title":"IEEE Trans Circuits and Systems"},{"key":"954_CR2","doi-asserted-by":"crossref","first-page":"2554","DOI":"10.1073\/pnas.79.8.2554","volume":"79","author":"JJ Hopfield","year":"1982","unstructured":"Hopfield JJ (1982) Neural networks and physical systems with emergent collective computational abilities. Proc Nat Acad Sci USA 79:2554\u20132558","journal-title":"Proceedings of the National Academy of Sciences, USA(Biophysics)"},{"key":"954_CR3","volume-title":"Neural neworks for optimization and signal processing","author":"A Cochochi","year":"1993","unstructured":"Cochochi A, Unbehauen R (1993) Neural neworks for optimization and signal processing. Wiley, New York"},{"key":"954_CR4","doi-asserted-by":"crossref","first-page":"1741","DOI":"10.1109\/TCSI.2004.834493","volume":"51","author":"M Forti","year":"2004","unstructured":"Forti M, Nistri P, Quincampoix M (2004) Gerneralized neural network for nonsmooth nonlinear programming problems. IEEE Trans Circuits Syst Prat I 51:1741\u20131754","journal-title":"IEEE Transaction on Circuits and Systems Prat I"},{"key":"954_CR5","doi-asserted-by":"crossref","first-page":"320","DOI":"10.1109\/72.991418","volume":"13","author":"Y Xia","year":"2002","unstructured":"Xia Y, Leung H, Bosse E (2002) Neural data fusion algorithms based on a linearly constrained leastsquare method. IEEE Trans Neural Netw 13:320\u2013329","journal-title":"IEEE Transaction on Neural Networks"},{"key":"954_CR6","first-page":"131","volume":"1","author":"J Karhunen","year":"1997","unstructured":"Karhunen J, Hyvarinen A, Vigario R, Hurri J, Oja E (1997) Applications of neural blind separation to signal and image processing. Proc ICASSP 1:131\u2013134","journal-title":"Proceedings of ICASSP"},{"key":"954_CR7","doi-asserted-by":"crossref","first-page":"1601","DOI":"10.1016\/S0893-6080(98)00080-X","volume":"11","author":"J Cao","year":"1998","unstructured":"Cao J, Zhou DM (1998) Stability analysis of delayed cellular neural networks. Neural Netw 11:1601\u20131605","journal-title":"Neural Networks"},{"key":"954_CR8","doi-asserted-by":"crossref","first-page":"1353","DOI":"10.1109\/TCSI.2003.817760","volume":"50","author":"ZG Zeng","year":"2006","unstructured":"Zeng ZG, Wang J (2006) Global exponential stability of a general class recurrent neural networks with time-varying delays. IEEE Trans Circuits Syst I 50:1353\u20131358","journal-title":"IEEE Transaction on Circuits and Systems I"},{"key":"954_CR9","doi-asserted-by":"crossref","first-page":"1033","DOI":"10.1109\/TCSI.2002.800842","volume":"49","author":"X Liao","year":"2002","unstructured":"Liao X, Chen G, Sanchez EN (2002) LMI-based approach for asymptocically stability analysis of delayed neural networks. IEEE Trans Circuits Syst I 49:1033\u20131039","journal-title":"IEEE Transaction on Circuits and Systems I"},{"key":"954_CR10","doi-asserted-by":"crossref","first-page":"201","DOI":"10.1016\/j.neunet.2009.10.004","volume":"23","author":"G Huang","year":"2010","unstructured":"Huang G, Cao J (2010) Delay-dependent multistability in recurrent neural networks. Neural Netw 23:201\u2013209","journal-title":"Neural Networks"},{"key":"954_CR11","doi-asserted-by":"crossref","first-page":"639","DOI":"10.1162\/089976603321780326","volume":"15","author":"Y Zhang","year":"2003","unstructured":"Zhang Y, Tan KK, Lee TH (2003) Multistability analysis for recurrent neural networks with unsaturating piecewise linear transfer functions. Neural Comput 15:639\u2013662","journal-title":"Neural Comput"},{"key":"954_CR12","doi-asserted-by":"crossref","first-page":"158","DOI":"10.1109\/TNN.2007.904015","volume":"19","author":"L Zhang","year":"2008","unstructured":"Zhang L, Zhang Y, Yu J (2008) Multiperiodicity and attractivity of delayed recurrent neural networks with unsaturation piecewise linear transfer functions. IEEE Trans Neural Netw 19:158\u2013167","journal-title":"IEEE Transaction on Neural Networks"},{"key":"954_CR13","doi-asserted-by":"crossref","first-page":"1371","DOI":"10.1109\/TNN.2010.2054106","volume":"21","author":"ZG Zeng","year":"2010","unstructured":"Zeng ZG, Huang T, Zheng W (2010) Multistability of recurrent neural networks with time-varying delays and piecewise linear activation function. IEEE Trans Neural Netw 21:1371\u20131377","journal-title":"IEEE Transaction on Neural Networks"},{"key":"954_CR14","doi-asserted-by":"crossref","first-page":"841","DOI":"10.3934\/dcds.2000.6.841","volume":"6","author":"S Mohamad","year":"2000","unstructured":"Mohamad S, Gopalsamy K (2000) Neural dynamics in time varying environments: continuous and discrete time models. Disc Contin Dyn Syst 6:841\u2013860","journal-title":"Discrete and Continous Dynamical Systems"},{"key":"954_CR15","doi-asserted-by":"crossref","unstructured":"Gopalsamy K, Sariyasa (2002) Time delays and stimulus-dependent pattern formation in periodic environments in isolated neurons. IEEE Tran Neural Netw 13:551\u2013563","DOI":"10.1109\/TNN.2002.1000124"},{"key":"954_CR16","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/S0893-6080(03)00208-9","volume":"17","author":"J Zhou","year":"2004","unstructured":"Zhou J, Liu ZR, Chen GR (2004) Dynamics of periodic delayed neural networks. Neural Netw 17:87\u2013101","journal-title":"Neural Networks"},{"key":"954_CR17","doi-asserted-by":"crossref","first-page":"1162","DOI":"10.1109\/TCSI.2003.816306","volume":"50","author":"ZG Liu","year":"2003","unstructured":"Liu ZG, Chen AP, Cao J, Huang LH (2003) Existence and global exponential stability of periodic solution for BAM neural networks with periodic coefficients and time-varying delays. IEEE Trans Circuits Syst I Fundam Theory Appl 50:1162\u20131173","journal-title":"IEEE Transcations on Circuits and Systems-I: Fundamental Theory and Applicaitons"},{"key":"954_CR18","doi-asserted-by":"crossref","first-page":"507","DOI":"10.1109\/TCT.1971.1083337","volume":"18","author":"LO Chua","year":"1971","unstructured":"Chua LO (1971) Memristor-the missing circuit element. IEEE Trans Circ Theory 18:507\u2013519","journal-title":"IEEE Transactions on Circuits Theory"},{"key":"954_CR19","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1038\/nature06932","volume":"453","author":"DB Strukov","year":"2008","unstructured":"Strukov DB, Snider GS, Stewart DR, Williams RS (2008) The missing memristor found. Nature 453:80\u201383","journal-title":"Nature"},{"key":"954_CR20","doi-asserted-by":"crossref","first-page":"425204","DOI":"10.1088\/0957-4484\/20\/42\/425204","volume":"20","author":"PO Vontobel","year":"2009","unstructured":"Vontobel PO, Robinett W, Kuekes J, Stewart DR, Straznicky J, Williams RS (2009) Writing to and reading from a nano-scale crossbar memory based on memristors. Nanotechnology 20:425204","journal-title":"Nanotechnology"},{"key":"954_CR21","unstructured":"Snider G (2008) Memristors as synapses in a neural computing architecture. Memristor and memristor systems symposium Nov 21"},{"key":"954_CR22","doi-asserted-by":"crossref","first-page":"3605","DOI":"10.1142\/S0218127409025031","volume":"19","author":"M Itoh","year":"2009","unstructured":"Itoh M, Chua LO (2009) Memristor cellular automata and memristor discrete-time cellular neural networks. Int J Bifurc Chaos 19:3605\u20133655","journal-title":"International Journal of Bifurcation and Chaos"},{"key":"954_CR23","first-page":"1","volume":"18","author":"GS Snider","year":"2007","unstructured":"Snider GS (2007) Self-Organized computation with unreliable, memristive nandevices. Nanotechnology 18:1\u201315","journal-title":"Nanotechnology"},{"key":"954_CR24","doi-asserted-by":"crossref","first-page":"848","DOI":"10.1162\/neco.2006.18.4.848","volume":"18","author":"ZG Zeng","year":"2006","unstructured":"Zeng ZG, Wang J (2006) Multiperiodicity and exponential attractivity evoked by periodic external inputs in delayed cellular neural networks. Neural Comput 18:848\u2013870","journal-title":"Neural Comput"},{"key":"954_CR25","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-96439-8","volume-title":"Functional Analysis","author":"K Yosida","year":"1978","unstructured":"Yosida K (1978) Functional analysis. Springer, Berlin"},{"key":"954_CR26","doi-asserted-by":"crossref","first-page":"158","DOI":"10.1109\/TNN.2007.904015","volume":"19","author":"L Zhang","year":"2008","unstructured":"Zhang L, Zhang Y, Yu J (2008) Multiperiodicity and attractivity of delayed recurrent neural networks with unsaturating piecewise linear transfer functions. IEEE Trans Neural Netw 19:158\u2013167","journal-title":"IEEE Trans. Neural Network"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-012-0954-x.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-012-0954-x\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-012-0954-x","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,29]],"date-time":"2019-06-29T01:39:53Z","timestamp":1561772393000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-012-0954-x"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,5,24]]},"references-count":26,"journal-issue":{"issue":"7-8","published-print":{"date-parts":[[2013,12]]}},"alternative-id":["954"],"URL":"https:\/\/doi.org\/10.1007\/s00521-012-0954-x","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,5,24]]}}}