{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,13]],"date-time":"2025-10-13T19:53:25Z","timestamp":1760385205402},"reference-count":31,"publisher":"Springer Science and Business Media LLC","issue":"2","license":[{"start":{"date-parts":[[2012,2,29]],"date-time":"2012-02-29T00:00:00Z","timestamp":1330473600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Neural Process Lett"],"published-print":{"date-parts":[[2012,4]]},"DOI":"10.1007\/s11063-012-9211-7","type":"journal-article","created":{"date-parts":[[2012,2,28]],"date-time":"2012-02-28T08:11:42Z","timestamp":1330416702000},"page":"187-202","source":"Crossref","is-referenced-by-count":26,"title":["Existence and Exponential Stability of Multiple Periodic Solutions for a Multidirectional Associative Memory Neural Network"],"prefix":"10.1007","volume":"35","author":[{"given":"Tiejun","family":"Zhou","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Min","family":"Wang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Min","family":"Long","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2012,2,29]]},"reference":[{"issue":"5","key":"9211_CR1","first-page":"397","volume":"9","author":"S Chen","year":"1998","unstructured":"Chen S, Gao H (1998) Multivalued exponential multidirectional associative memory. J Softw 9(5): 397\u2013400 (in Chinese)","journal-title":"J Softw"},{"issue":"1","key":"9211_CR2","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1016\/j.jmaa.2005.09.092","volume":"317","author":"A Chen","year":"2006","unstructured":"Chen A, Huang L, Liu Z, Cao J (2006) Periodic bidirectional associative memory neural networks with distributed delays. J Math Anal Appl 317(1): 80\u2013102","journal-title":"J Math Anal Appl"},{"issue":"6","key":"9211_CR3","doi-asserted-by":"crossref","first-page":"998","DOI":"10.1109\/72.329700","volume":"5","author":"K Gopalsmy","year":"1994","unstructured":"Gopalsmy K, He X (1994) Delay-independent stability in bidirectional associative memory networks. IEEE Trans Neural Netw 5(6): 998\u20131002","journal-title":"IEEE Trans Neural Netw"},{"issue":"3","key":"9211_CR4","doi-asserted-by":"crossref","first-page":"551","DOI":"10.1109\/TNN.2002.1000124","volume":"13","author":"K Gopalsamy","year":"2002","unstructured":"Gopalsamy K, Sariyasa S (2002) Time delays and stimulus-dependent pattern formation in periodic environments in isolated neurons. IEEE Trans Neural Netw 13(3): 551\u2013563","journal-title":"IEEE Trans Neural Netw"},{"issue":"3","key":"9211_CR5","doi-asserted-by":"crossref","first-page":"199","DOI":"10.1016\/j.physleta.2004.07.007","volume":"329","author":"S Guo","year":"2004","unstructured":"Guo S, Huang L (2004) Periodic oscillation for discrete-time hopfield neural networks. Phys Lett A 329(3): 199\u2013206","journal-title":"Phys Lett A"},{"issue":"3","key":"9211_CR6","doi-asserted-by":"crossref","first-page":"213","DOI":"10.1007\/s11063-009-9119-z","volume":"30","author":"Z Guo","year":"2009","unstructured":"Guo Z, Huang L (2009) Global output convergence of a class of recurrent delayed neural networks with discontinuous neuron activations. Neural Process Lett 30(3): 213\u2013227","journal-title":"Neural Process Lett"},{"key":"9211_CR7","unstructured":"Hagiwara M (1990) Multidirectional associative memory. In: Proceedings of the international joint conference on neural networks, vol 1. Washington, pp 3\u20136"},{"issue":"3\u20134","key":"9211_CR8","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1016\/S0378-4754(99)00129-9","volume":"51","author":"M Hattori","year":"2000","unstructured":"Hattori M, Hagiwara M (2000) Associative memory for intelligent control. Math Comput Simul 51(3\u20134): 349\u2013374","journal-title":"Math Comput Simul"},{"key":"9211_CR9","doi-asserted-by":"crossref","unstructured":"Hattori M, Hagiwara M, Nakagawa M (1992) Improved multidirectional associative memories for training sets including common terms. In: Proceedings of the international joint conference on neural networks, vol 2. Baltimore, pp 172\u2013177","DOI":"10.1109\/IJCNN.1992.227012"},{"key":"9211_CR10","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 Natl Acad Sci USA 79: 2554\u20132558","journal-title":"Proc Natl Acad Sci USA"},{"issue":"16","key":"9211_CR11","doi-asserted-by":"crossref","first-page":"2842","DOI":"10.1016\/j.physleta.2007.12.053","volume":"372","author":"G Huang","year":"2008","unstructured":"Huang G, Cao J (2008) Multistability in bidirectional associative memory neural networks. Phys Lett A 372(16): 2842\u20132854","journal-title":"Phys Lett A"},{"issue":"16","key":"9211_CR12","doi-asserted-by":"crossref","first-page":"2842","DOI":"10.1016\/j.physleta.2007.12.053","volume":"372","author":"G Huang","year":"2008","unstructured":"Huang G, Cao J (2008) Multistability in bidirectional associative memory neural networks. Phys Lett A 372(16): 2842\u20132854","journal-title":"Phys Lett A"},{"issue":"1","key":"9211_CR13","doi-asserted-by":"crossref","first-page":"369","DOI":"10.1016\/S0925-2312(01)00602-6","volume":"48","author":"J Huang","year":"2002","unstructured":"Huang J, Hagiwara M (2002) A combined multi-winner multidirectional associative memory. Neurocomputing 48(1): 369\u2013389","journal-title":"Neurocomputing"},{"issue":"3\u20134","key":"9211_CR14","doi-asserted-by":"crossref","first-page":"389","DOI":"10.1016\/j.mcm.2004.02.045","volume":"42","author":"SR Kannan","year":"2005","unstructured":"Kannan SR (2005) Extended bidirectional associative memories: a study on poor education. Math Comput Model 42(3\u20134): 389\u2013395","journal-title":"Math Comput Model"},{"issue":"1","key":"9211_CR15","doi-asserted-by":"crossref","first-page":"49","DOI":"10.1109\/21.87054","volume":"18","author":"B Kosko","year":"1988","unstructured":"Kosko B (1988) Bi-directional associative memories. IEEE Trans Syst Man Cybern 18(1): 49\u201360","journal-title":"IEEE Trans Syst Man Cybern"},{"issue":"1","key":"9211_CR16","doi-asserted-by":"crossref","first-page":"65","DOI":"10.1007\/s11063-009-9127-z","volume":"31","author":"Y Li","year":"2010","unstructured":"Li Y, Gao S (2010) Global exponential stability for impulsive bam neural networks with distributed delays on time scales. Neural Process Lett 31(1): 65\u201391","journal-title":"Neural Process Lett"},{"issue":"5","key":"9211_CR17","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1016\/j.matcom.2006.05.027","volume":"73","author":"B Liu","year":"2007","unstructured":"Liu B (2007) Almost periodic solutions for hopfield neural networks with continuously distributed delays. Math Comput Simul 73(5): 327\u2013335","journal-title":"Math Comput Simul"},{"issue":"9","key":"9211_CR18","doi-asserted-by":"crossref","first-page":"1162","DOI":"10.1109\/TCSI.2003.816306","volume":"50","author":"Z Liu","year":"2003","unstructured":"Liu Z, Chen A, Cao J, Huang L (2003) Existence and global exponential stability of periodic solution for bam neural networks with periodic coefficients and time-varying delays. IEEE Trans Circuit Syst I Fundam Theory Appl 50(9): 1162\u20131173","journal-title":"IEEE Trans Circuit Syst I Fundam Theory Appl"},{"issue":"3","key":"9211_CR19","doi-asserted-by":"crossref","first-page":"397","DOI":"10.1109\/TNN.2007.908633","volume":"19","author":"XG Liu","year":"2008","unstructured":"Liu XG, Martin RR, Wu M, Tang ML (2008) Global exponential stability of bidirectional associative memory neural networks with time delays. IEEE Trans Neural Netw 19(3): 397\u2013407","journal-title":"IEEE Trans Neural Netw"},{"issue":"1-3","key":"9211_CR20","doi-asserted-by":"crossref","first-page":"182","DOI":"10.1016\/j.neucom.2005.02.021","volume":"69","author":"Y Maeda","year":"2005","unstructured":"Maeda Y, Wakamura M (2005) Bidirectional associative memory with learning capability using simultaneous perturbation. Neurocomputing 69(1-3): 182\u2013197","journal-title":"Neurocomputing"},{"issue":"1\u20133","key":"9211_CR21","doi-asserted-by":"crossref","first-page":"99","DOI":"10.1016\/S0925-2312(97)00100-8","volume":"19","author":"M Hattori","year":"1998","unstructured":"Hattori M, Hagiwara M (1998) Multimodule associative memory for many-to-many associations. Neurocomputing 19(1\u20133): 99\u2013119","journal-title":"Neurocomputing"},{"issue":"3","key":"9211_CR22","doi-asserted-by":"crossref","first-page":"131","DOI":"10.1007\/s11063-008-9086-9","volume":"28","author":"RAVE Monteros de los","year":"2008","unstructured":"de los Monteros RAVE, Azuela JHS (2008) A bidirectional hetero-associative memory for true-color patterns. Neural Process Lett 28(3): 131\u2013153","journal-title":"Neural Process Lett"},{"issue":"2","key":"9211_CR23","doi-asserted-by":"crossref","first-page":"928","DOI":"10.1016\/j.nonrwa.2007.11.014","volume":"10","author":"X Nie","year":"2009","unstructured":"Nie X, Cao J (2009) Multistability of competitive neural networks with time-varying and distributed delays. Nonlinear Anal Real World Appl 10(2): 928\u2013942","journal-title":"Nonlinear Anal Real World Appl"},{"issue":"3","key":"9211_CR24","doi-asserted-by":"crossref","first-page":"2141","DOI":"10.1016\/j.nonrwa.2009.06.004","volume":"11","author":"S Peng","year":"2010","unstructured":"Peng S (2010) Global attractive periodic solutions of bam neural networks with continuously distributed delays in the leakage terms. Nonlinear Anal Real World Appl 11(3): 2141\u20132151","journal-title":"Nonlinear Anal Real World Appl"},{"issue":"1","key":"9211_CR25","doi-asserted-by":"crossref","first-page":"51","DOI":"10.1016\/S0952-1976(00)00059-2","volume":"14","author":"S Pierre","year":"2001","unstructured":"Pierre S, Said H, Probst WG (2001) An artificial neural network approach for routing in distributed computer networks. Eng Appl Artif Intell 14(1): 51\u201360","journal-title":"Eng Appl Artif Intell"},{"issue":"1","key":"9211_CR26","doi-asserted-by":"crossref","first-page":"345","DOI":"10.1016\/j.nonrwa.2005.08.006","volume":"8","author":"Q Song","year":"2007","unstructured":"Song Q, Cao J (2007) Dynamics of bidirectional associative memory networks with distributed delays and reaction-diffusion terms. Nonlinear Anal Real World Appl 8(1): 345\u2013361","journal-title":"Nonlinear Anal Real World Appl"},{"issue":"6","key":"9211_CR27","doi-asserted-by":"crossref","first-page":"689","DOI":"10.1016\/j.physleta.2006.08.078","volume":"360","author":"C Sun","year":"2007","unstructured":"Sun C, Han M, Pang X (2007) Global hopf bifurcation analysis on a bam neural network with delays. Phys Lett A 360(6): 689\u2013695","journal-title":"Phys Lett A"},{"issue":"7","key":"9211_CR28","doi-asserted-by":"crossref","first-page":"1896","DOI":"10.1073\/pnas.84.7.1896","volume":"84","author":"DW Tank","year":"1987","unstructured":"Tank DW, Hopfield JJ (1987) Neural computation by concentrating information in time. Proc Natl Acad Sci USA 84(7): 1896\u20131900","journal-title":"Proc Natl Acad Sci USA"},{"issue":"3","key":"9211_CR29","doi-asserted-by":"crossref","first-page":"327","DOI":"10.1007\/BF02440083","volume":"26","author":"J Zhou","year":"2005","unstructured":"Zhou J, Liu Z, Lan X (2005) Global dynamics of delayed bidirectional associative memory (bam) neural networks. Appl Math Mech 26(3): 327\u2013335","journal-title":"Appl Math Mech"},{"issue":"5","key":"9211_CR30","doi-asserted-by":"crossref","first-page":"336","DOI":"10.1016\/j.physleta.2005.02.081","volume":"343","author":"T Zhou","year":"2005","unstructured":"Zhou T, Chen A, Zhou Y (2005) Existence and global exponential stability of periodic solution to bam neural networks with periodic coefficients and continuously distributed delays. Phys Lett A 343(5): 336\u2013350","journal-title":"Phys Lett A"},{"issue":"2","key":"9211_CR31","doi-asserted-by":"crossref","first-page":"2689","DOI":"10.1016\/j.camwa.2007.10.030","volume":"55","author":"T Zhou","year":"2008","unstructured":"Zhou T, Liu Y, Li X, Liu Y (2008) Global exponential periodicity for bam neural network with periodic coefficients and continuously distributed delays. Comput Math Appl 55(2): 2689\u20132698","journal-title":"Comput Math Appl"}],"container-title":["Neural Processing Letters"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11063-012-9211-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s11063-012-9211-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s11063-012-9211-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,6,24]],"date-time":"2019-06-24T13:13:28Z","timestamp":1561382008000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s11063-012-9211-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,2,29]]},"references-count":31,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2012,4]]}},"alternative-id":["9211"],"URL":"https:\/\/doi.org\/10.1007\/s11063-012-9211-7","relation":{},"ISSN":["1370-4621","1573-773X"],"issn-type":[{"value":"1370-4621","type":"print"},{"value":"1573-773X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,2,29]]}}}