{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T07:05:35Z","timestamp":1777705535276,"version":"3.51.4"},"reference-count":45,"publisher":"Elsevier BV","license":[{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-017"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-037"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-012"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-029"},{"start":{"date-parts":[[2026,10,1]],"date-time":"2026-10-01T00:00:00Z","timestamp":1790812800000},"content-version":"stm-asf","delay-in-days":0,"URL":"https:\/\/doi.org\/10.15223\/policy-004"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["62273181"],"award-info":[{"award-number":["62273181"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Applied Mathematics and Computation"],"published-print":{"date-parts":[[2026,10]]},"DOI":"10.1016\/j.amc.2026.130056","type":"journal-article","created":{"date-parts":[[2026,3,26]],"date-time":"2026-03-26T14:56:55Z","timestamp":1774537015000},"page":"130056","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Fixed-time projective quasi-synchronization for multi-layer coupled memristive neural networks under deception attacks"],"prefix":"10.1016","volume":"526","author":[{"ORCID":"https:\/\/orcid.org\/0009-0006-6492-4634","authenticated-orcid":false,"given":"Xiahedan","family":"Haliding","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-2705-6672","authenticated-orcid":false,"given":"Yijun","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-5271-2462","authenticated-orcid":false,"given":"Baoyong","family":"Zhang","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0002-8319-587X","authenticated-orcid":false,"given":"Kai","family":"Zhou","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"key":"10.1016\/j.amc.2026.130056_bib0001","doi-asserted-by":"crossref","first-page":"302","DOI":"10.1016\/j.isatra.2022.07.022","article-title":"Fixed-time projective synchronization of delayed memristive neural networks via aperiodically semi-intermittent switching control","volume":"133","author":"Pu","year":"2023","journal-title":"ISA Trans."},{"key":"10.1016\/j.amc.2026.130056_bib0002","article-title":"New method for global exponential synchronization of multi-link memristive neural networks with three kinds of time-varying delays","volume":"471","author":"Hua","year":"2024","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.amc.2026.130056_bib0003","article-title":"Fixed-time synchronization of coupled memristive neural networks via event-triggered control","volume":"411","author":"Bao","year":"2021","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.amc.2026.130056_bib0004","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2020.110316","article-title":"New chaotic memristive cellular neural network and its application in secure communication system","volume":"141","author":"Xiu","year":"2020","journal-title":"Chaos Solit. Fract."},{"issue":"7","key":"10.1016\/j.amc.2026.130056_bib0005","doi-asserted-by":"crossref","first-page":"881","DOI":"10.1016\/j.neunet.2010.05.001","article-title":"Experimental demonstration of associative memory with memristive neural networks","volume":"23","author":"Pershin","year":"2010","journal-title":"Neural Netw."},{"issue":"1","key":"10.1016\/j.amc.2026.130056_bib0006","doi-asserted-by":"crossref","first-page":"151","DOI":"10.1109\/TNNLS.2020.2977614","article-title":"Exponential synchronization of delayed memristor-based uncertain complex-valued neural networks for image protection","volume":"32","author":"Yuan","year":"2021","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"10.1016\/j.amc.2026.130056_bib0007","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.amc.2026.130056_bib0008","doi-asserted-by":"crossref","first-page":"104","DOI":"10.1016\/j.neunet.2018.04.007","article-title":"Quasi-projective synchronization of fractional-order complex-valued recurrent neural networks","volume":"104","author":"Yang","year":"2018","journal-title":"Neural Netw."},{"key":"10.1016\/j.amc.2026.130056_bib0009","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2023.113279","article-title":"A fixed-time robust controller based on zeroing neural network for generalized projective synchronization of chaotic systems","volume":"169","author":"Xiao","year":"2023","journal-title":"Chaos Solit. Fract."},{"issue":"20","key":"10.1016\/j.amc.2026.130056_bib0010","doi-asserted-by":"crossref","first-page":"3667","DOI":"10.1016\/j.physleta.2008.02.035","article-title":"Adaptive function project synchronization of r\u00f6ssler hyperchaotic system with uncertain parameters","volume":"372","author":"Runzi","year":"2008","journal-title":"Phys. Lett. A"},{"key":"10.1016\/j.amc.2026.130056_bib0011","doi-asserted-by":"crossref","DOI":"10.1016\/j.physa.2019.122248","article-title":"Fixed-time projective synchronization of memristive neural networks with discrete delay","volume":"534","author":"Chen","year":"2019","journal-title":"Physica A"},{"key":"10.1016\/j.amc.2026.130056_bib0012","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2024.108139","article-title":"Projective synchronization in fixed\/predefined-time for quaternion-valued BAM neural networks under event-triggered aperiodic intermittent control","volume":"137","author":"Qin","year":"2024","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"10.1016\/j.amc.2026.130056_bib0013","doi-asserted-by":"crossref","first-page":"28","DOI":"10.1016\/j.isatra.2024.07.017","article-title":"DoS attacks resilience of heterogeneous complex networks via dynamic event-triggered impulsive scheme for secure quasi-synchronization","volume":"153","author":"Zhou","year":"2024","journal-title":"ISA Trans."},{"issue":"11","key":"10.1016\/j.amc.2026.130056_bib0014","doi-asserted-by":"crossref","first-page":"6863","DOI":"10.1109\/TSMC.2020.2964826","article-title":"Quasi-consensus control for a class of time-varying stochastic nonlinear time-delay multiagent systems subject to deception attacks","volume":"51","author":"Liu","year":"2021","journal-title":"IEEE Trans. Syst. Man Cybernet. Syst."},{"key":"10.1016\/j.amc.2026.130056_bib0015","doi-asserted-by":"crossref","first-page":"686","DOI":"10.1002\/rnc.1624","article-title":"Attitude stabilization of rigid spacecraft with finite-time convergence","volume":"21","author":"Zhu","year":"2011","journal-title":"Int. J. Robust Nonlinear Control"},{"key":"10.1016\/j.amc.2026.130056_bib0016","article-title":"Quasi-synchronization of discrete-time fractional-order quaternion-valued memristive neural networks with time delays and uncertain parameters","volume":"453","author":"Zhao","year":"2023","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.amc.2026.130056_bib0017","doi-asserted-by":"crossref","DOI":"10.1016\/j.ins.2025.121896","article-title":"Pinning impulsive control for quasi-projective synchronization of stochastic multi-layer networks","volume":"702","author":"Shi","year":"2025","journal-title":"Inf. Sci."},{"issue":"8","key":"10.1016\/j.amc.2026.130056_bib0018","doi-asserted-by":"crossref","first-page":"2106","DOI":"10.1109\/TAC.2011.2179869","article-title":"Nonlinear feedback design for fixed-time stabilization of linear control systems","volume":"57","author":"Polyakov","year":"2012","journal-title":"IEEE Trans. Automat. Control"},{"issue":"9","key":"10.1016\/j.amc.2026.130056_bib0019","first-page":"3519","article-title":"Fixed-time synchronization of multilayer complex networks under denial-of-service attacks","volume":"70","author":"Wu","year":"2023","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"issue":"18","key":"10.1016\/j.amc.2026.130056_bib0020","doi-asserted-by":"crossref","first-page":"2595","DOI":"10.1049\/iet-cta.2018.5614","article-title":"Recursive surface structure for fixed-time convergence with applications to power systems","volume":"12","author":"Mishra","year":"2018","journal-title":"IET Control Theory Appl."},{"issue":"4","key":"10.1016\/j.amc.2026.130056_bib0021","doi-asserted-by":"crossref","first-page":"1576","DOI":"10.1109\/TAES.2016.140406","article-title":"Fixed-time rendezvous control of spacecraft with a tumbling target under loss of actuator effectiveness","volume":"52","author":"Jiang","year":"2016","journal-title":"IEEE Trans. Aerosp. Electron. Syst."},{"issue":"9","key":"10.1016\/j.amc.2026.130056_bib0022","doi-asserted-by":"crossref","first-page":"5300","DOI":"10.1109\/TSMC.2019.2950329","article-title":"Further results on fixed-time stabilization and tracking control of a marine surface ship subjected to output constraints","volume":"51","author":"Zhang","year":"2021","journal-title":"IEEE Trans. Syst. Man Cybernet. Syst."},{"issue":"4","key":"10.1016\/j.amc.2026.130056_bib0023","first-page":"2156","article-title":"Dynamic event-triggered practical fixed-time consensus for nonlinear multiagent systems","volume":"69","author":"Liu","year":"2022","journal-title":"IEEE Trans. Circuits Syst. II Express Briefs"},{"issue":"6","key":"10.1016\/j.amc.2026.130056_bib0024","doi-asserted-by":"crossref","first-page":"3263","DOI":"10.1109\/TCYB.2020.2999199","article-title":"Team-triggered practical fixed-time consensus of double-integrator agents with uncertain disturbance","volume":"51","author":"Liu","year":"2021","journal-title":"IEEE Trans. Cybern."},{"issue":"2","key":"10.1016\/j.amc.2026.130056_bib0025","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevLett.110.028701","article-title":"Diffusion dynamics on multiplex networks","volume":"110","author":"G\u00f3mez","year":"2013","journal-title":"Phys. Rev. Lett."},{"key":"10.1016\/j.amc.2026.130056_bib0026","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1016\/j.physrep.2024.01.005","article-title":"Synchronization in multiplex networks","volume":"1060","author":"Wu","year":"2024","journal-title":"Phys. Rep."},{"issue":"5","key":"10.1016\/j.amc.2026.130056_bib0027","doi-asserted-by":"crossref","DOI":"10.1103\/PhysRevE.88.050801","article-title":"Contact-based social contagion in multiplex networks","volume":"88","author":"Cozzo","year":"2013","journal-title":"Phys. Rev. E"},{"key":"10.1016\/j.amc.2026.130056_bib0028","doi-asserted-by":"crossref","first-page":"5504","DOI":"10.1016\/j.jfranklin.2023.03.057","article-title":"Fixed-time synchronization of multiplex networks by sliding mode control","volume":"360","author":"Wu","year":"2023","journal-title":"J. Franklin Inst."},{"key":"10.1016\/j.amc.2026.130056_bib0029","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2023.107124","article-title":"Dynamic event-triggered control for intra\/inter-layer synchronization in multi-layer networks","volume":"119","author":"Zhang","year":"2023","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"10.1016\/j.amc.2026.130056_bib0030","doi-asserted-by":"crossref","DOI":"10.1016\/j.neucom.2023.127196","article-title":"Quantized dynamic event-triggered control for fixed\/preset-time bipartite synchronization of memristor-based discontinuous multi-layer signed networks","volume":"573","author":"Qin","year":"2024","journal-title":"Neurocomputing"},{"issue":"5","key":"10.1016\/j.amc.2026.130056_bib0031","doi-asserted-by":"crossref","first-page":"2721","DOI":"10.1109\/TSMC.2021.3051156","article-title":"Fixed-time average consensus of nonlinear delayed MASs under switching topologies: an event-based triggering approach","volume":"52","author":"Liu","year":"2022","journal-title":"IEEE Trans. Syst. Man Cybernet. Syst."},{"key":"10.1016\/j.amc.2026.130056_bib0032","doi-asserted-by":"crossref","first-page":"1435","DOI":"10.1016\/j.ins.2022.07.151","article-title":"Finite\/fixed-time bipartite consensus for networks of diffusion PDEs via event-triggered control","volume":"609","author":"Zhao","year":"2022","journal-title":"Inf. Sci."},{"key":"10.1016\/j.amc.2026.130056_bib0033","doi-asserted-by":"crossref","DOI":"10.1016\/j.neucom.2024.129069","article-title":"Fixed\/preassigned-time non-chattering synchronization of nonlinear coupled Cohen-Grossberg neural networks via event-triggered control","volume":"617","author":"Qing","year":"2025","journal-title":"Neurocomputing"},{"issue":"2","key":"10.1016\/j.amc.2026.130056_bib0034","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1109\/TFUZZ.2024.3485515","article-title":"Fixed-time event-triggered impulsive secure synchronization of quaternion-valued fuzzy neural networks subject to stochastic cyber attacks","volume":"33","author":"Liu","year":"2025","journal-title":"IEEE Trans. Fuzzy Syst."},{"key":"10.1016\/j.amc.2026.130056_bib0035","doi-asserted-by":"crossref","first-page":"59","DOI":"10.1016\/j.neucom.2021.06.017","article-title":"Intermittent dynamic event-triggered state estimation for delayed complex networks based on partial nodes","volume":"459","author":"Yu","year":"2021","journal-title":"Neurocomputing"},{"key":"10.1016\/j.amc.2026.130056_bib0036","article-title":"Predefined-time Lyapunov stability for nonlinear systems via a dynamic event-triggered control strategy","volume":"507","author":"Wu","year":"2025","journal-title":"Appl. Math. Comput."},{"issue":"21","key":"10.1016\/j.amc.2026.130056_bib0037","doi-asserted-by":"crossref","first-page":"3385","DOI":"10.3390\/math12213385","article-title":"Attack-dependent adaptive event-triggered security fuzzy control for nonlinear networked cascade control systems under deception attacks","volume":"12","author":"Liu","year":"2024","journal-title":"Mathematics"},{"key":"10.1016\/j.amc.2026.130056_bib0038","article-title":"Secure synchronization of complex networks under deception attacks against vulnerable nodes","volume":"399","author":"Ding","year":"2021","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.amc.2026.130056_bib0039","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2023.114215","article-title":"Bipartite secure synchronization for dynamic networks under deception attacks via delay-dependent impulsive control","volume":"177","author":"Zhang","year":"2023","journal-title":"Chaos Solit. Fract."},{"key":"10.1016\/j.amc.2026.130056_bib0040","article-title":"Asynchronous bumpless transfer control for stochastic hidden semi-Markovian jump systems against deception attacks","volume":"506","author":"Zhang","year":"2025","journal-title":"Appl. Math. Comput."},{"key":"10.1016\/j.amc.2026.130056_bib0041","doi-asserted-by":"crossref","first-page":"16629","DOI":"10.1007\/s11071-025-10967-x","article-title":"Dynamic event-based prescribed-time practical consensus for nonlinear multi-agent systems under DoS and deception attacks","volume":"113","author":"Wang","year":"2025","journal-title":"Nonlinear Dyn."},{"issue":"6","key":"10.1016\/j.amc.2026.130056_bib0042","doi-asserted-by":"crossref","first-page":"7602","DOI":"10.1109\/TNNLS.2022.3217461","article-title":"Dynamic event-triggered control for GSES of memristive neural networks under multiple cyber-attacks","volume":"35","author":"Wang","year":"2024","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"issue":"1","key":"10.1016\/j.amc.2026.130056_bib0043","first-page":"99","article-title":"Differential equations with discontinuous right-hand side","volume":"93","author":"Filippov","year":"1960","journal-title":"Matematicheskii Sbornik"},{"key":"10.1016\/j.amc.2026.130056_bib0044","doi-asserted-by":"crossref","first-page":"3043","DOI":"10.1016\/j.neucom.2011.04.016","article-title":"Exponential synchronization of memristor-based recurrent neural networks with time delays","volume":"74","author":"Wu","year":"2011","journal-title":"Neurocomputing"},{"key":"10.1016\/j.amc.2026.130056_bib0045","doi-asserted-by":"crossref","first-page":"10147","DOI":"10.1007\/s11071-023-08370-5","article-title":"Dynamic event-triggered control for fixed-time synchronization of Kuramoto-oscillator networks with and without a pacemaker","volume":"111","author":"Sun","year":"2023","journal-title":"Nonlinear Dyn."}],"container-title":["Applied Mathematics and Computation"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300326001086?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0096300326001086?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,4,29]],"date-time":"2026-04-29T09:44:08Z","timestamp":1777455848000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0096300326001086"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,10]]},"references-count":45,"alternative-id":["S0096300326001086"],"URL":"https:\/\/doi.org\/10.1016\/j.amc.2026.130056","relation":{},"ISSN":["0096-3003"],"issn-type":[{"value":"0096-3003","type":"print"}],"subject":[],"published":{"date-parts":[[2026,10]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Fixed-time projective quasi-synchronization for multi-layer coupled memristive neural networks under deception attacks","name":"articletitle","label":"Article Title"},{"value":"Applied Mathematics and Computation","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.amc.2026.130056","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"article","name":"content_type","label":"Content Type"},{"value":"\u00a9 2026 Elsevier Inc. All rights are reserved, including those for text and data mining, AI training, and similar technologies.","name":"copyright","label":"Copyright"}],"article-number":"130056"}}