{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T14:20:07Z","timestamp":1778768407536,"version":"3.51.4"},"reference-count":43,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,7,1]],"date-time":"2026-07-01T00:00:00Z","timestamp":1782864000000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100004735","name":"Hunan Provincial Natural Science Foundation","doi-asserted-by":"publisher","award":["2023JJ30382"],"award-info":[{"award-number":["2023JJ30382"]}],"id":[{"id":"10.13039\/501100004735","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["12071105"],"award-info":[{"award-number":["12071105"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Neurocomputing"],"published-print":{"date-parts":[[2026,7]]},"DOI":"10.1016\/j.neucom.2026.133612","type":"journal-article","created":{"date-parts":[[2026,4,8]],"date-time":"2026-04-08T16:48:58Z","timestamp":1775666938000},"page":"133612","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Impulsive synchronization of fractional-order neural networks with multiple couplings and uncertain time-varying perturbations"],"prefix":"10.1016","volume":"686","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9227-9736","authenticated-orcid":false,"given":"Shuihong","family":"Xiao","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Jianli","family":"Li","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.neucom.2026.133612_bib0005","series-title":"Neural Networks in Finance and Investing: using Artificial Intelligence to Improve Real World Performance","author":"Trippi","year":"1992"},{"issue":"4","key":"10.1016\/j.neucom.2026.133612_bib0010","doi-asserted-by":"crossref","first-page":"243","DOI":"10.1016\/0893-6080(89)90035-X","article-title":"Neural network models for pattern recognition and associative memory","volume":"2","author":"Carpenter","year":"1989","journal-title":"Neural Netw."},{"issue":"2","key":"10.1016\/j.neucom.2026.133612_bib0015","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1109\/21.31035","article-title":"Learning and optimization of machining operations using computing abilities of neural networks","volume":"19","author":"Rangwala","year":"2002","journal-title":"IEEE T. Syst. Man Cy-S."},{"issue":"4","key":"10.1016\/j.neucom.2026.133612_bib0020","doi-asserted-by":"crossref","first-page":"3769","DOI":"10.1007\/s11277-018-5408-z","article-title":"The design and simulation of neural network encoder in confidential communication field","volume":"102","author":"Xiao","year":"2018","journal-title":"Wireless Pers. Commun."},{"key":"10.1016\/j.neucom.2026.133612_bib0025","series-title":"Dynamical Systems in Neuroscience","author":"Izhikevich","year":"2007"},{"issue":"1","key":"10.1016\/j.neucom.2026.133612_bib0030","doi-asserted-by":"crossref","first-page":"15","DOI":"10.1016\/0022-5193(67)90051-3","article-title":"Biological rhythms and the behavior of populations of coupled oscillators","volume":"16","author":"Winfree","year":"1967","journal-title":"J. Theor. Biol."},{"issue":"3","key":"10.1016\/j.neucom.2026.133612_bib0035","doi-asserted-by":"crossref","first-page":"491","DOI":"10.1016\/0960-0779(93)E0038-D","article-title":"Generation and propagation of normal and abnormal pacemaker activity in network models of cardiac sinus node and atrium","volume":"5","author":"Winslow","year":"1995","journal-title":"Chaos Solitons Fractals"},{"issue":"1","key":"10.1016\/j.neucom.2026.133612_bib0040","doi-asserted-by":"crossref","first-page":"215","DOI":"10.1109\/JPROC.2006.887293","article-title":"Consensus and cooperation in networked multi-agent systems","volume":"95","author":"Olfati-Saber","year":"2007","journal-title":"IEEE Proc."},{"issue":"4","key":"10.1016\/j.neucom.2026.133612_bib0045","doi-asserted-by":"crossref","first-page":"45","DOI":"10.1109\/MNET.2004.1316761","article-title":"Time synchronization in sensor networks: a survey","volume":"18","author":"Sivrikaya","year":"2004","journal-title":"IEEE Netw."},{"issue":"25","key":"10.1016\/j.neucom.2026.133612_bib0050","doi-asserted-by":"crossref","first-page":"5028","DOI":"10.1103\/PhysRevLett.74.5028","article-title":"General approach for chaotic synchronization with applications to communication","volume":"74","author":"Kocarev","year":"1995","journal-title":"Phys. Rev. Lett."},{"key":"10.1016\/j.neucom.2026.133612_bib0055","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.neunet.2014.10.007","article-title":"Projective synchronization of fractional-order memristor-based neural networks","volume":"63","author":"Bao","year":"2015","journal-title":"Neural Netw."},{"key":"10.1016\/j.neucom.2026.133612_bib0060","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.neunet.2013.11.016","article-title":"Global Mittag-Leffler stability and synchronization of memristor-based fractional-order neural networks","volume":"51","author":"Chen","year":"2014","journal-title":"Neural Netw."},{"key":"10.1016\/j.neucom.2026.133612_bib0065","article-title":"Predefined-time synchronization of coupled inertial neural networks with stochastic disturbance via adaptive control","author":"Liu","year":"2025","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2026.133612_bib0070","doi-asserted-by":"crossref","first-page":"36","DOI":"10.1016\/j.neunet.2015.09.012","article-title":"Finite-time synchronization of fractional-order memristor-based neural networks with time delays","volume":"73","author":"Velmurugan","year":"2016","journal-title":"Neural Netw."},{"issue":"9","key":"10.1016\/j.neucom.2026.133612_bib0075","doi-asserted-by":"crossref","first-page":"682","DOI":"10.3390\/fractalfract7090682","article-title":"Synchronization of fractional-order delayed neural networks using dynamic-free adaptive sliding mode control","volume":"7","author":"Roohi","year":"2023","journal-title":"Fractal Fract."},{"issue":"7","key":"10.1016\/j.neucom.2026.133612_bib0080","first-page":"2174","article-title":"Synchronization of coupled markovian reaction-diffusion neural networks with proportional delays via impulsive control","volume":"30","author":"Yang","year":"2018","journal-title":"IEEE T. Neur. Net. Lear."},{"issue":"13","key":"10.1016\/j.neucom.2026.133612_bib0085","doi-asserted-by":"crossref","first-page":"16571","DOI":"10.1007\/s11071-025-10955-1","article-title":"Impulsive effects on delayed fractional-order neural networks: sliding mode control-based fixed-time synchronization analysis","volume":"113","author":"Cheng","year":"2025","journal-title":"Nonlinear Dyn."},{"key":"10.1016\/j.neucom.2026.133612_bib0090","doi-asserted-by":"crossref","first-page":"54","DOI":"10.1016\/j.neunet.2022.09.025","article-title":"Practical synchronization of neural networks with delayed impulses and external disturbance via hybrid control","volume":"157","author":"Dong","year":"2023","journal-title":"Neural Netw."},{"key":"10.1016\/j.neucom.2026.133612_bib0095","doi-asserted-by":"crossref","first-page":"392","DOI":"10.1016\/j.neucom.2021.10.003","article-title":"Projective multi-synchronization of fractional-order complex-valued coupled multi-stable neural networks with impulsive control","volume":"467","author":"Udhayakumar","year":"2022","journal-title":"Neurocomputing"},{"issue":"12","key":"10.1016\/j.neucom.2026.133612_bib0100","first-page":"249","article-title":"Synchronization of multi-term fractional-order neural networks with switching parameters via hybrid impulsive control","volume":"58","author":"Yang","year":"2024","journal-title":"Ifac-pap."},{"key":"10.1016\/j.neucom.2026.133612_bib0105","doi-asserted-by":"crossref","DOI":"10.1016\/j.ins.2024.121702","article-title":"Impulsive control for synchronization of chaotic neural networks with multiple time-varying delays and its applications to secure communications","volume":"694","author":"Chen","year":"2025","journal-title":"Inf. Sci."},{"issue":"6","key":"10.1016\/j.neucom.2026.133612_bib0110","doi-asserted-by":"crossref","first-page":"3167","DOI":"10.1016\/j.jfranklin.2021.02.003","article-title":"Exponential synchronization of fractional-order reaction-diffusion coupled neural networks with hybrid delay-dependent impulses","volume":"358","author":"Yang","year":"2021","journal-title":"J. Franklin Inst."},{"key":"10.1016\/j.neucom.2026.133612_bib0115","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2023.107303","article-title":"Synchronization of fractional-order delayed neural networks with reaction-diffusion terms: distributed delayed impulsive control","volume":"124","author":"Liu","year":"2023","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"10.1016\/j.neucom.2026.133612_bib0120","doi-asserted-by":"crossref","first-page":"12439","DOI":"10.1109\/ACCESS.2017.2721950","article-title":"Synchronization and robust synchronization for fractional-order coupled neural networks","volume":"5","author":"Wang","year":"2017","journal-title":"IEEE Access"},{"key":"10.1016\/j.neucom.2026.133612_bib0125","doi-asserted-by":"crossref","first-page":"14846","DOI":"10.3934\/mbe.2023665","article-title":"Synchronization analysis of coupled fractional-order neural networks with time-varying delays","volume":"20","author":"Li","year":"2023","journal-title":"Math. Biosci. Eng."},{"issue":"1","key":"10.1016\/j.neucom.2026.133612_bib0130","doi-asserted-by":"crossref","first-page":"517","DOI":"10.1007\/s00521-022-07752-x","article-title":"Output synchronization analysis of coupled fractional-order neural networks with fixed and adaptive couplings","volume":"35","author":"Liu","year":"2023","journal-title":"Neural Comput. Appl."},{"issue":"S1","key":"10.1016\/j.neucom.2026.133612_bib0135","doi-asserted-by":"crossref","first-page":"106","DOI":"10.1002\/cplx.21715","article-title":"Synchronization of fractional-order delayed neural networks with hybrid coupling","volume":"21","author":"Bao","year":"2016","journal-title":"Complexity"},{"issue":"6","key":"10.1016\/j.neucom.2026.133612_bib0140","doi-asserted-by":"crossref","first-page":"1245","DOI":"10.1080\/00207179.2016.1278268","article-title":"Pinning synchronization of fractional-order delayed complex networks with non-delayed and delayed couplings","volume":"90","author":"Chen","year":"2017","journal-title":"Int. J. Control"},{"key":"10.1016\/j.neucom.2026.133612_bib0145","doi-asserted-by":"crossref","first-page":"180","DOI":"10.1016\/j.neucom.2021.03.001","article-title":"Asymptotical synchronization analysis of fractional-order complex neural networks with non-delayed and delayed couplings","volume":"445","author":"Li","year":"2021","journal-title":"Neurocomputing"},{"issue":"12","key":"10.1016\/j.neucom.2026.133612_bib0150","doi-asserted-by":"crossref","first-page":"1999","DOI":"10.1109\/TNN.2011.2167759","article-title":"Exponential synchronization of complex networks with finite distributed delays coupling","volume":"22","author":"Hu","year":"2011","journal-title":"IEEE Trans. Neural Netw."},{"issue":"6","key":"10.1016\/j.neucom.2026.133612_bib0155","doi-asserted-by":"crossref","first-page":"8086","DOI":"10.1109\/TNNLS.2022.3224393","article-title":"Synchronization of neural networks involving distributed-delay coupling: a distributed-delay differential inequalities approach","volume":"35","author":"Zhang","year":"2022","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"10.1016\/j.neucom.2026.133612_bib0160","doi-asserted-by":"crossref","first-page":"4653","DOI":"10.1109\/ACCESS.2017.2787725","article-title":"Adaptive synchronization of fractional-order nonlinearly coupled complex networks with time delay and external disturbances","volume":"6","author":"Pei","year":"2017","journal-title":"IEEE Access"},{"key":"10.1016\/j.neucom.2026.133612_bib0165","doi-asserted-by":"crossref","first-page":"60934","DOI":"10.1109\/ACCESS.2021.3074016","article-title":"Cluster synchronization of fractional-order nonlinearly-coupling community networks with time-varying disturbances and multiple delays","volume":"9","author":"Fan","year":"2021","journal-title":"IEEE Access"},{"issue":"7","key":"10.1016\/j.neucom.2026.133612_bib0170","doi-asserted-by":"crossref","first-page":"422","DOI":"10.3390\/fractalfract8070422","article-title":"Mittag-Leffler synchronization in finite time for uncertain fractional-order multi-delayed memristive neural networks with time-varying perturbations via information feedback","volume":"8","author":"Fan","year":"2024","journal-title":"Fractal Fract."},{"key":"10.1016\/j.neucom.2026.133612_bib0175","doi-asserted-by":"crossref","DOI":"10.1016\/j.neucom.2024.128729","article-title":"Synchronization of nonlinear neural networks with hybrid couplings and uncertain time-varying perturbations: a novel distributed-delay impulsive comparison principle","volume":"613","author":"Fan","year":"2025","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2026.133612_bib0180","doi-asserted-by":"crossref","DOI":"10.1016\/j.eswa.2025.128748","article-title":"Nonrestricted impulsive sampling control for synchronization of uncertain neural networks with hybrid discrete-delayed and distributed-delayed couplings: a new halanay-like impulsive differential comparative lemma","volume":"294","author":"Fan","year":"2025","journal-title":"Expert Syst. Appl."},{"key":"10.1016\/j.neucom.2026.133612_bib0185","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1016\/j.neucom.2018.05.098","article-title":"Global asymptotic synchronization of nonidentical fractional-order neural networks","volume":"313","author":"Hu","year":"2018","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2026.133612_bib0190","article-title":"Fractional differential equations: an introduction to fractional derivatives, fractional differential equations, to methods of their solution and some of their applications","volume":"37","author":"Podlubny","year":"1998","journal-title":"Elsevier"},{"key":"10.1016\/j.neucom.2026.133612_bib0195","doi-asserted-by":"crossref","first-page":"817","DOI":"10.1016\/j.chaos.2011.06.006","article-title":"Synchronization of switched neural networks with mixed delays via impulsive control","volume":"44","author":"Yang","year":"2011","journal-title":"Chaos Solitons Fractals"},{"key":"10.1016\/j.neucom.2026.133612_bib0200","doi-asserted-by":"crossref","first-page":"20","DOI":"10.1016\/j.neucom.2018.06.018","article-title":"Synchronization analysis for fractional non-autonomous neural networks by a halanay inequality","volume":"314","author":"Wang","year":"2018","journal-title":"Neurocomputing"},{"key":"10.1016\/j.neucom.2026.133612_bib0205","doi-asserted-by":"crossref","first-page":"438","DOI":"10.1016\/j.matcom.2025.02.030","article-title":"Estimating the region of attraction on fractional-order complex networks with time-varying delay","volume":"234","author":"Du","year":"2025","journal-title":"Math. Comput. Simul."},{"issue":"2","key":"10.1016\/j.neucom.2026.133612_bib0210","doi-asserted-by":"crossref","first-page":"862","DOI":"10.1007\/s00034-024-02883-z","article-title":"Mittag-Leffler stability and synchronization of multi-delayed fractional neural networks via halanay inequality","volume":"44","author":"Li","year":"2025","journal-title":"Circ. Syst. Signal Pr."},{"key":"10.1016\/j.neucom.2026.133612_bib0215","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2025.109501","article-title":"Complete synchronization and quasi-synchronization for fractional-order memristive neural networks with time-varying delay and its application to image encryption","volume":"152","author":"Yang","year":"2026","journal-title":"Commun. Nonlinear Sci. Numer. Simul."}],"container-title":["Neurocomputing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S092523122601009X?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S092523122601009X?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,5,14]],"date-time":"2026-05-14T13:54:32Z","timestamp":1778766872000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S092523122601009X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,7]]},"references-count":43,"alternative-id":["S092523122601009X"],"URL":"https:\/\/doi.org\/10.1016\/j.neucom.2026.133612","relation":{},"ISSN":["0925-2312"],"issn-type":[{"value":"0925-2312","type":"print"}],"subject":[],"published":{"date-parts":[[2026,7]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Impulsive synchronization of fractional-order neural networks with multiple couplings and uncertain time-varying perturbations","name":"articletitle","label":"Article Title"},{"value":"Neurocomputing","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.neucom.2026.133612","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier B.V. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"133612"}}