{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,9]],"date-time":"2026-09-09T01:55:34Z","timestamp":1788918934137,"version":"build-2803163510"},"reference-count":30,"publisher":"Springer Science and Business Media LLC","issue":"5","license":[{"start":{"date-parts":[[2016,3,29]],"date-time":"2016-03-29T00:00:00Z","timestamp":1459209600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Int. J. Mach. Learn. & Cyber."],"published-print":{"date-parts":[[2017,10]]},"DOI":"10.1007\/s13042-016-0523-1","type":"journal-article","created":{"date-parts":[[2016,3,29]],"date-time":"2016-03-29T20:21:56Z","timestamp":1459282916000},"page":"1501-1511","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":24,"title":["Quasi-uniform stability of Caputo-type fractional-order neural networks with mixed delay"],"prefix":"10.1007","volume":"8","author":[{"given":"Huaiqin","family":"Wu","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Xinxin","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Shunhui","family":"Xue","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Peifeng","family":"Niu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2016,3,29]]},"reference":[{"key":"523_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\u2014the missing circut element. IEEE Trans Circuit Theory 18:507\u2013519","journal-title":"IEEE Trans Circuit Theory"},{"key":"523_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":"523_CR3","doi-asserted-by":"crossref","first-page":"42","DOI":"10.1038\/453042a","volume":"453","author":"JM Tour","year":"2008","unstructured":"Tour JM, He T (2008) Electronics: the fourth element. Nature 453:42\u201343","journal-title":"Nature"},{"key":"523_CR4","volume-title":"Fractional differential equations","author":"I Podlubny","year":"1999","unstructured":"Podlubny I (1999) Fractional differential equations. Academic, New York"},{"key":"523_CR5","volume-title":"An introduction to fractional calculus","author":"PL Butzer","year":"2000","unstructured":"Butzer PL, Westphal U (2000) An introduction to fractional calculus. World Scientific, Singapore"},{"key":"523_CR6","volume-title":"Applications of fractional calculus in physics","author":"R Hilfer","year":"2001","unstructured":"Hilfer R (2001) Applications of fractional calculus in physics. World Scientific, Hackensack"},{"key":"523_CR7","volume-title":"Theory and application of fractional differential equations","author":"AA Kilbas","year":"2006","unstructured":"Kilbas AA, Srivastava HM, Trujillo JJ (2006) Theory and application of fractional differential equations. Elsevier, Amsterdam"},{"issue":"3","key":"523_CR8","doi-asserted-by":"crossref","first-page":"616","DOI":"10.1016\/j.cnsns.2009.04.029","volume":"15","author":"L Song","year":"2010","unstructured":"Song L, Xu SY, Yang JY (2010) Dynamical models of happiness with fractional order. Commun Nonlinear Sci Numer Simul 15(3):616\u2013628","journal-title":"Commun Nonlinear Sci Numer Simul"},{"key":"523_CR9","doi-asserted-by":"crossref","unstructured":"R.C. Gu, Y. Xu (2011) Chaos in a fractional-order dynamical model of love and its control. In: Li SM, Wang X, Okazaki Y, Kawabe J, Murofushi T, Li G (eds) Nonlinear mathematics for uncertainty and its applications. AISC, Springer, pp 349\u2013356, 881\u2013886","DOI":"10.1007\/978-3-642-22833-9_42"},{"issue":"7","key":"523_CR10","doi-asserted-by":"crossref","first-page":"1527","DOI":"10.1142\/S0218127498001170","volume":"8","author":"P Arena","year":"1998","unstructured":"Arena P, Caponetto R, Fortuna L, Porto D (1998) Bifurcation and chaos in noninteger order cellular neural networks. Int J Bifurc Chaos 8(7):1527\u20131539","journal-title":"Int J Bifurc Chaos"},{"issue":"11","key":"523_CR11","doi-asserted-by":"crossref","first-page":"1335","DOI":"10.1038\/nn.2212","volume":"11","author":"BN Lundstrom","year":"2008","unstructured":"Lundstrom BN, Higgs MH, Spain WJ, Fairhall AL (2008) Fractional differentiation by neocortical pyramidal neurons. Nat Neurosci 11(11):1335\u20131342","journal-title":"Nat Neurosci"},{"issue":"4","key":"523_CR12","doi-asserted-by":"crossref","first-page":"538","DOI":"10.1114\/1.197","volume":"27","author":"KH Chon","year":"1999","unstructured":"Chon KH, Hoyer D, Armoundas AA (1999) Robust nonlinear autoregressive moving average model parameter estimation using stochastic recurrent artificial neural networks. Ann Biomed Eng 27(4):538\u2013547","journal-title":"Ann Biomed Eng"},{"issue":"2","key":"523_CR13","doi-asserted-by":"crossref","first-page":"114","DOI":"10.1049\/ip-cta:19951733","volume":"142","author":"JR Raol","year":"1995","unstructured":"Raol JR (1995) Parameter estimation of state space models by recurrent neural networks. IET Control Theory A 142(2):114\u2013118","journal-title":"IET Control Theory A"},{"issue":"12","key":"523_CR14","doi-asserted-by":"crossref","first-page":"3009","DOI":"10.1162\/neco.2006.18.12.3009","volume":"18","author":"RD Beer","year":"2006","unstructured":"Beer RD (2006) Parameter space structure of continuous-time recurrent neural networks. Neural Comput 18(12):3009\u20133051","journal-title":"Neural Comput"},{"key":"523_CR15","doi-asserted-by":"crossref","first-page":"50","DOI":"10.1016\/j.neunet.2013.04.014","volume":"46","author":"H Huang","year":"2013","unstructured":"Huang H, Huang TW, Chen XP (2013) A mode-dependent approach to state estimation of recurrent neural networks with Markovian jumping parameters and mixed delays. Neural Netw 46:50\u201361","journal-title":"Neural Netw"},{"key":"523_CR16","doi-asserted-by":"crossref","first-page":"1661","DOI":"10.1016\/j.physleta.2011.02.068","volume":"375","author":"A Wu","year":"2011","unstructured":"Wu A, Zhang J, Zeng Z (2011) Dynamic behaviors of a class of memristor-based Hopfield networks. Phys Lett A 375:1661\u20131665","journal-title":"Phys Lett A"},{"key":"523_CR17","doi-asserted-by":"publisher","unstructured":"Wen S, Zeng Z, Huang T 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":"523_CR18","doi-asserted-by":"crossref","first-page":"386","DOI":"10.1016\/j.ins.2012.11.023","volume":"232","author":"G Zhang","year":"2013","unstructured":"Zhang G, Shen Y (2013) Global exponential periodicity and stability of a class of memristor-based recurrent neural networks with multiple delays. Inform Sci 232:386\u2013396","journal-title":"Inform Sci"},{"key":"523_CR19","doi-asserted-by":"crossref","unstructured":"Wu H, Zhang L (2013) Almost periodic solution for memristive neural networks with time-varying delays. J Appl Math, V, Article ID 716172, p 12. http:\/\/dx.doi.org\/10.1155\/2013\/716172","DOI":"10.1155\/2013\/716172"},{"key":"523_CR20","doi-asserted-by":"crossref","unstructured":"Zhang R, Qi D, Wang Y (2010) Dynamics analysis of fractional order three-dimensional Hopfield neural network. In: International conference on natural computation, pp 3037\u20133039","DOI":"10.1109\/ICNC.2010.5582371"},{"key":"523_CR21","doi-asserted-by":"crossref","first-page":"973","DOI":"10.1016\/j.chaos.2006.07.033","volume":"36","author":"S Zhou","year":"2008","unstructured":"Zhou S, Li H, Zhu Z (2008) Chaos control and synchronization in a fractional neuron network system. Chaos Solitons Fractals 36:973\u2013984","journal-title":"Chaos Solitons Fractals"},{"key":"523_CR22","doi-asserted-by":"crossref","unstructured":"Zhu H, Zhou S, Zhang W (2008) Chaos and synchronization of time-delayed fractional neuron network system. In: The 9th international conference for Young computer scientists, pp 2937\u20132941","DOI":"10.1109\/ICYCS.2008.107"},{"key":"523_CR23","doi-asserted-by":"crossref","unstructured":"Zhou S, Lin X, Zhang L, Li Y (2010) Chaotic synchronization of a fractional neurons network system with two neurons. In: International conference on communications, circuits and systems, pp 773\u2013776","DOI":"10.1109\/ICCCAS.2010.5581878"},{"key":"523_CR24","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/j.nonrwa.2006.09.005","volume":"9","author":"HY Zhao","year":"2008","unstructured":"Zhao HY, Wang L, Ma CX (2008) Hopf bifurcation and stability analysis on discrete-time Hopfield neural network with delay. Nonlinear Anal Real World Appl 9:103\u2013113","journal-title":"Nonlinear Anal Real World Appl"},{"key":"523_CR25","doi-asserted-by":"crossref","first-page":"787","DOI":"10.1016\/j.amc.2005.11.148","volume":"179","author":"HY Zhao","year":"2006","unstructured":"Zhao HY, Wang L (2006) Stability and bifurcation for discrete-time CohenCGrossberg neural network. Appl Math Comput 179:787\u2013798","journal-title":"Appl Math Comput"},{"key":"523_CR26","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1016\/j.neucom.2012.11.034","volume":"111","author":"L Chen","year":"2013","unstructured":"Chen L, Chai Y, Wu R, Ma T, Zhai H (2013) Dynamic analysis of a class of fractional-order neural networks with delay. Neurocomputing 111:190\u2013194","journal-title":"Neurocomputing"},{"key":"523_CR27","doi-asserted-by":"crossref","first-page":"777","DOI":"10.1016\/j.amc.2006.08.163","volume":"187","author":"CP Li","year":"2007","unstructured":"Li CP, Deng WH (2007) Remarks on fractional derivatives. Appl Math Comput 187:777\u2013784","journal-title":"Appl Math Comput"},{"key":"523_CR28","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-99970-3","volume-title":"Analytic inequalities","author":"DS Mitrinovic","year":"1970","unstructured":"Mitrinovic DS (1970) Analytic inequalities. Springer, New York"},{"key":"523_CR29","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-7643-8749-5","volume-title":"An introduction to the theory of functional equations and inequalities: Cauchy\u2019s equation and Jensen\u2019s inequality","author":"M Kuczma","year":"2009","unstructured":"Kuczma M (2009) An introduction to the theory of functional equations and inequalities: Cauchy\u2019s equation and Jensen\u2019s inequality. Birkhauser, Switzerland"},{"key":"523_CR30","volume-title":"Principles of differential and intergral equations","author":"C Corduneanu","year":"1971","unstructured":"Corduneanu C (1971) Principles of differential and intergral equations. Allyn and Bacon, USA"}],"container-title":["International Journal of Machine Learning and Cybernetics"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s13042-016-0523-1\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-016-0523-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-016-0523-1","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s13042-016-0523-1.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,6,15]],"date-time":"2024-06-15T10:11:24Z","timestamp":1718446284000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s13042-016-0523-1"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2016,3,29]]},"references-count":30,"journal-issue":{"issue":"5","published-print":{"date-parts":[[2017,10]]}},"alternative-id":["523"],"URL":"https:\/\/doi.org\/10.1007\/s13042-016-0523-1","relation":{},"ISSN":["1868-8071","1868-808X"],"issn-type":[{"value":"1868-8071","type":"print"},{"value":"1868-808X","type":"electronic"}],"subject":[],"published":{"date-parts":[[2016,3,29]]}}}