{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,19]],"date-time":"2025-10-19T15:46:19Z","timestamp":1760888779443},"reference-count":42,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2013,3,2]],"date-time":"2013-03-02T00:00:00Z","timestamp":1362182400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Comput & Applic"],"published-print":{"date-parts":[[2014,5]]},"DOI":"10.1007\/s00521-013-1349-3","type":"journal-article","created":{"date-parts":[[2013,3,1]],"date-time":"2013-03-01T22:34:38Z","timestamp":1362177278000},"page":"1421-1430","source":"Crossref","is-referenced-by-count":62,"title":["Exponential synchronization of coupled memristive neural networks with time delays"],"prefix":"10.1007","volume":"24","author":[{"given":"Guan","family":"Wang","sequence":"first","affiliation":[]},{"given":"Yi","family":"Shen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,3,2]]},"reference":[{"key":"1349_CR1","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 Circuit T 18:507\u2013519","journal-title":"IEEE Trans Circuit T"},{"key":"1349_CR2","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":"1349_CR3","doi-asserted-by":"crossref","first-page":"3183","DOI":"10.1142\/S0218127408022354","volume":"18","author":"M Itoh","year":"2008","unstructured":"Itoh M, Chua LO (2008) Memristor oscillators. Int J Bifurcation Chaos 18:3183\u20133206","journal-title":"Int J Bifurcation Chaos"},{"key":"1349_CR4","doi-asserted-by":"crossref","first-page":"873","DOI":"10.1038\/nature08940","volume":"464","author":"J Borghetti","year":"2010","unstructured":"Borghetti J, Snider GS, Kuekes PJ, Yang JJ, Stewart DR, Williams RS (2010) \u2018Memristive\u2019 switches enable \u2018stateful\u2019 logic operations via material implication. Nature 464:873\u2013876","journal-title":"Nature"},{"key":"1349_CR5","doi-asserted-by":"crossref","first-page":"881","DOI":"10.1016\/j.neunet.2010.05.001","volume":"23","author":"YV Pershin","year":"2010","unstructured":"Pershin YV, Di Ventra M (2010) Experimental demonstration of associative memory with memristive neural networks. Neural Netw 23:881\u2013886","journal-title":"Neural Netw"},{"key":"1349_CR6","doi-asserted-by":"crossref","unstructured":"Hu J, Wang J (2010) Global uniform asymptotic stability of memristor-based recurrent neural networks with time delays. In: Proceedings of international joint conference on neural networks 2010, Spain","DOI":"10.1109\/IJCNN.2010.5596359"},{"key":"1349_CR7","doi-asserted-by":"crossref","first-page":"3043","DOI":"10.1016\/j.neucom.2011.04.016","volume":"74","author":"AL Wu","year":"2011","unstructured":"Wu AL, Zeng ZG, Zhu XS, Zhang J (2011) Exponential synchronization of memristor-based recurrent neural networks with time delays. Neurocomputing 74:3043\u20133050","journal-title":"Neurocomputing"},{"key":"1349_CR8","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1016\/j.ins.2011.07.044","volume":"183","author":"SP Wen","year":"2012","unstructured":"Wen SP, Wu AL, Zeng ZG (2012) Synchronization control of a class of memristor-based recurrent neural networks. Inf Sci 183:106\u2013116","journal-title":"Inf Sci"},{"key":"1349_CR9","doi-asserted-by":"crossref","unstructured":"Wen SP, Zeng ZG, Huang TW (2012) Dynamic behaviors of memristor-based delayed recurrent networks. Neural Comput Appl doi: 10.1007\/s00521-012-0998-y","DOI":"10.1007\/s00521-012-0998-y"},{"key":"1349_CR10","doi-asserted-by":"crossref","first-page":"233","DOI":"10.1016\/j.neucom.2012.06.014","volume":"97","author":"SP Wen","year":"2012","unstructured":"Wen SP, Zeng ZG, Huang TW (2012) Exponential stability analysis of memristor-based recurrent neural networks with time-varying delays. Neurocomputing 97:233\u2013240","journal-title":"Neurocomputing"},{"key":"1349_CR11","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.neunet.2012.08.009","volume":"36","author":"AL Wu","year":"2012","unstructured":"Wu AL, Zeng ZG (2012) Dynamic behaviors of memristor-based recurrent neural networks with time-varying delays. Neural Netw 36:1\u201310","journal-title":"Neural Netw"},{"key":"1349_CR12","doi-asserted-by":"crossref","first-page":"1919","DOI":"10.1109\/TNNLS.2012.2219554","volume":"23","author":"AL Wu","year":"2012","unstructured":"Wu AL, Zeng ZG (2012) Exponential stabilization of memristive neural networks with time delays. IEEE Trans Neural Netw Learn Syst 23:1919\u20131929","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"1349_CR13","doi-asserted-by":"crossref","first-page":"149","DOI":"10.1016\/j.neucom.2012.05.002","volume":"97","author":"GD Zhang","year":"2012","unstructured":"Zhang GD, Shen Y, Sun JW (2012) Global exponential stability of a class of memristor-based recurrent neural networks with time-varying delays. Neurocomputing 97:149\u2013154","journal-title":"Neurocomputing"},{"key":"1349_CR14","doi-asserted-by":"crossref","unstructured":"Bao G, Zeng ZG (2012) Multistability of periodic delayed recurrent neural network with memristors. Neural Comput Appl doi: 10.1007\/s00521-012-0954-x","DOI":"10.1007\/s00521-012-0954-x"},{"key":"1349_CR15","doi-asserted-by":"crossref","first-page":"031105","DOI":"10.1103\/PhysRevE.83.031105","volume":"83","author":"EN Oskoee","year":"2011","unstructured":"Oskoee EN, Sahimi M (2011) Electric currents in networks of interconnected memristors. Phys Rev E 83:031105","journal-title":"Phys Rev E"},{"key":"1349_CR16","doi-asserted-by":"crossref","first-page":"2775","DOI":"10.1016\/j.physleta.2012.08.021","volume":"376","author":"SP Wen","year":"2012","unstructured":"Wen SP, Zeng ZG, Huang TW (2012) Adaptive synchronization of memristor-based Chua\u2019s circuits. Phys Lett A 376:2775\u20132780","journal-title":"Phys Lett A"},{"key":"1349_CR17","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 Syst"},{"key":"1349_CR18","doi-asserted-by":"crossref","DOI":"10.1007\/978-94-015-7793-9","volume-title":"Differential equations with discontinuous right-hand sides, mathematics its applications","author":"A Filippov","year":"1988","unstructured":"Filippov A (1988) Differential equations with discontinuous right-hand sides, mathematics its applications. Kluwer, Boston"},{"key":"1349_CR19","doi-asserted-by":"crossref","first-page":"1421","DOI":"10.1109\/TCSI.2003.818614","volume":"50","author":"M Forti","year":"2003","unstructured":"Forti M, Nistri P (2003) Global convergence of neural networks with discontinuous neuron activations. IEEE Trans Circuits Syst I Fundam Theor Appl 50:1421\u20131435","journal-title":"IEEE Trans Circuits Syst I Fundam Theor Appl"},{"key":"1349_CR20","doi-asserted-by":"crossref","first-page":"602","DOI":"10.1109\/TCSII.2006.876388","volume":"53","author":"CL Chang","year":"2006","unstructured":"Chang CL, Fan KW, Chung IF, Lin CH (2006) A recurrent fuzzy coupled cellular neural network system with automatic structure and template learning. IEEE Trans Circuits Syst Express Briefs 53:602\u2013606","journal-title":"IEEE Trans Circuits Syst Express Briefs"},{"key":"1349_CR21","doi-asserted-by":"crossref","first-page":"60","DOI":"10.1109\/TNNLS.2011.2177671","volume":"23","author":"XS Yang","year":"2012","unstructured":"Yang XS, Cao J, Lu JQ (2012) Synchronization of Markovian coupled neural networks with nonidentical node-delays and random coupling strengths. IEEE Trans Neural Netw Learn Syst 23:60\u201371","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"1349_CR22","first-page":"55","volume":"10","author":"CW Wu","year":"2010","unstructured":"Wu CW (2010) Evolution and dynamics of complex networks of coupled systems. IEEE Circuits Syst Mag 10:55\u201363","journal-title":"IEEE Circuits Syst Mag"},{"key":"1349_CR23","doi-asserted-by":"crossref","first-page":"319","DOI":"10.1109\/TNN.2007.908639","volume":"19","author":"W Wu","year":"2008","unstructured":"Wu W, Chen T (2008) Global synchronization criteria of linearly coupled neural network systems with time-varying coupling. IEEE Trans Neural Netw 19:319\u2013332","journal-title":"IEEE Trans Neural Netw"},{"key":"1349_CR24","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-84882-523-9","volume-title":"Controlling chaos: suppression, synchronization and chaotification","author":"H Zhang","year":"2009","unstructured":"Zhang H, Liu D, Wang ZL (2009) Controlling chaos: suppression, synchronization and chaotification. Springer, London"},{"key":"1349_CR25","doi-asserted-by":"crossref","first-page":"831","DOI":"10.1109\/TSMCB.2009.2030506","volume":"40","author":"H Zhang","year":"2010","unstructured":"Zhang H, Ma TD, Huang GB, Wang ZL (2010) Robust global exponential synchronization of uncertain chaotic delayed neural networks via dual-stage impulsive control. IEEE Trans Syst Man Cybern Part B Cybern 40:831\u2013844","journal-title":"IEEE Trans Syst Man Cybern Part B Cybern"},{"key":"1349_CR26","doi-asserted-by":"crossref","first-page":"1979","DOI":"10.1109\/TNN.2011.2171501","volume":"22","author":"YW Wang","year":"2011","unstructured":"Wang YW, Xiao JW, Wen CY, Guan ZH (2011) Synchronization of continuous dynamical networks with discrete-time communications, IEEE Trans Neural Netw 22:1979\u20131986","journal-title":"IEEE Trans Neural Netw"},{"key":"1349_CR27","doi-asserted-by":"crossref","first-page":"1345","DOI":"10.1109\/TNNLS.2012.2202246","volume":"23","author":"XZ Jin","year":"2012","unstructured":"Jin XZ, Yang GH, Che WW (2012) Adaptive pinning control of deteriorated nonlinear coupling networks with circuit realization. IEEE Trans Neural Netw Learn Syst 23:1345\u20131355","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"1349_CR28","doi-asserted-by":"crossref","first-page":"18970","DOI":"10.1073\/pnas.0804451105","volume":"105","author":"S Ganguli","year":"2008","unstructured":"Ganguli S, Huh D, Sompolinsky H (2008) Memory traces in dynamical systems. Proc Nat Acad Sci USA 105:18970\u201318975","journal-title":"Proc Nat Acad Sci USA"},{"key":"1349_CR29","doi-asserted-by":"crossref","first-page":"1857","DOI":"10.1109\/TNN.2007.903159","volume":"18","author":"Y Shen","year":"2007","unstructured":"Shen Y, Wang J (2007) Noise-induced stabilization of the recurrent neural networks with mixed time-varying delays and Markovian-switching parameters. IEEE Trans Neural Netw 18:1857\u20131862","journal-title":"IEEE Trans Neural Netw"},{"key":"1349_CR30","doi-asserted-by":"crossref","first-page":"366","DOI":"10.1109\/TNN.2007.910738","volume":"19","author":"H Zhang","year":"2008","unstructured":"Zhang H, Wang YC (2008) Stability analysis of Markovian jumping stochastic Gohen-Grossberg neural networks with mixed time delays. IEEE Trans Neural Netw 19:366\u2013370","journal-title":"IEEE Trans Neural Netw"},{"key":"1349_CR31","doi-asserted-by":"crossref","first-page":"3008","DOI":"10.1016\/j.nonrwa.2009.10.021","volume":"11","author":"M Yang","year":"2010","unstructured":"Yang M, Wang YW, Xiao JW, Wang HO (2010) Robust synchronization of impulsively-coupled complex switched networks with parametric uncertainties and time-varying delays. Nonlinear Anal Real World Appl 11:3008\u20133020","journal-title":"Nonlinear Anal Real World Appl"},{"key":"1349_CR32","doi-asserted-by":"crossref","first-page":"787","DOI":"10.1109\/TCSI.2004.823672","volume":"51","author":"JH L\u00fc","year":"2004","unstructured":"L\u00fc JH, Yu XH, Chen GR, Cheng DZ (2004) Characterizing the synchronizability of small-world dynamical networks. IEEE Trans Circuits Syst Regul Pap 51:787\u2013796","journal-title":"IEEE Trans Circuits Syst Regul Pap"},{"key":"1349_CR33","doi-asserted-by":"crossref","first-page":"1910","DOI":"10.1109\/TNN.2008.2003250","volume":"19","author":"JL Liang","year":"2008","unstructured":"Liang JL, Wang Z, Liu YR, Liu XH (2008) Robust synchronization of an array of coupled stochastic discrete-time delayed neural networks. IEEE Trans Neural Netw 19:1910\u20131920","journal-title":"IEEE Trans Neural Netw"},{"key":"1349_CR34","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1109\/TCSI.2010.2071970","volume":"58","author":"BS Chen","year":"2011","unstructured":"Chen BS, Chiang CH, Nguang SK (2011) Robust $$H_{\\infty}$$ synchronization design of nonlinear coupled network via fuzzy interpolation method. IEEE Trans Circuits Syst Regul Pap 58:349\u2013362","journal-title":"IEEE Trans Circuits Syst Regul Pap"},{"key":"1349_CR35","doi-asserted-by":"crossref","first-page":"429","DOI":"10.1016\/j.cam.2003.10.010","volume":"167","author":"AN Langville","year":"2004","unstructured":"Langville AN, Stewart WJ (2004) The Kronecker product and stochastic automata networks. J Comput Appl Math 167:429\u2013447","journal-title":"J Comput Appl Math"},{"key":"1349_CR36","doi-asserted-by":"crossref","first-page":"1617","DOI":"10.1109\/TNN.2009.2027810","volume":"20","author":"JQ Lu","year":"2009","unstructured":"Lu JQ, Ho DWC, Wang Z (2009) Pinning stabilization of linearly coupled stochastic neural networks via minimum number of controllers. IEEE Trans Neural Netw 20:1617\u20131629","journal-title":"IEEE Trans Neural Netw"},{"key":"1349_CR37","doi-asserted-by":"crossref","first-page":"846","DOI":"10.1016\/j.neucom.2010.11.006","volume":"74","author":"LL Li","year":"2011","unstructured":"Li LL, Cao J (2011) Cluster synchronization in an array of coupled stochastic delayed neural networks via pinning control. Neurocomputing 74:846\u2013856","journal-title":"Neurocomputing"},{"key":"1349_CR38","doi-asserted-by":"crossref","first-page":"1823","DOI":"10.1016\/j.fss.2009.12.016","volume":"161","author":"R Rakkiyappan","year":"2010","unstructured":"Rakkiyappan R, Balasubramaniam P (2010) On exponential stability results for fuzzy impulsive neural networks. Fuzzy Sets Syst 161:1823\u20131835","journal-title":"Fuzzy Sets Syst"},{"key":"1349_CR39","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970777","volume-title":"Linear Matrix Inequalities in System and Control Theory","author":"S Boyd","year":"1994","unstructured":"Boyd S, Laurent EG, Feron E, Balakrishnan V (1994) Linear matrix inequalities in system and control theory. SIAM, Philadelphia"},{"key":"1349_CR40","doi-asserted-by":"crossref","first-page":"1369","DOI":"10.1016\/j.physa.2007.10.063","volume":"387","author":"Z Li","year":"2008","unstructured":"Li Z, Jiao LC, Lee JJ (2008) Robust adaptive global synchronization of complex dynamical networks by adjusting time-varying coupling strength. Phys A Stat Mech Appl 387:1369\u20131380","journal-title":"Phys A Stat Mech Appl"},{"key":"1349_CR41","doi-asserted-by":"crossref","first-page":"1710","DOI":"10.1109\/TNN.2010.2054107","volume":"21","author":"ZW Liu","year":"2010","unstructured":"Liu ZW, Zhang H, Zhang QL (2010) Novel stability analysis for recurrent neural networks with multiple delays via line integral-type L-K functional. IEEE Trans Neural Netw 21:1710\u20131718","journal-title":"IEEE Trans Neural Netw"},{"key":"1349_CR42","doi-asserted-by":"crossref","first-page":"440","DOI":"10.1038\/30918","volume":"393","author":"DJ Watts","year":"1998","unstructured":"Watts DJ, Strogatz HS (1998) Collective dynamics of \u2018small-world\u2019 networks. Nature 393:440\u2013442","journal-title":"Nature"}],"container-title":["Neural Computing and Applications"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-013-1349-3.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00521-013-1349-3\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00521-013-1349-3","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T02:14:51Z","timestamp":1559096091000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00521-013-1349-3"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013,3,2]]},"references-count":42,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2014,5]]}},"alternative-id":["1349"],"URL":"https:\/\/doi.org\/10.1007\/s00521-013-1349-3","relation":{},"ISSN":["0941-0643","1433-3058"],"issn-type":[{"value":"0941-0643","type":"print"},{"value":"1433-3058","type":"electronic"}],"subject":[],"published":{"date-parts":[[2013,3,2]]}}}