{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,15]],"date-time":"2026-06-15T08:52:11Z","timestamp":1781513531481,"version":"3.54.1"},"reference-count":41,"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","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":[[2026,10]]},"DOI":"10.1016\/j.neucom.2026.134163","type":"journal-article","created":{"date-parts":[[2026,6,2]],"date-time":"2026-06-02T15:50:18Z","timestamp":1780415418000},"page":"134163","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":0,"special_numbering":"C","title":["Fixed-time sliding mode synchronization for coupled reaction-diffusion neural networks under hybrid impulsive effects and its application to image encryption"],"prefix":"10.1016","volume":"697","author":[{"ORCID":"https:\/\/orcid.org\/0009-0002-9845-9006","authenticated-orcid":false,"given":"Xiaofang","family":"Wang","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-7129-7460","authenticated-orcid":false,"given":"Shiguo","family":"Peng","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Juan","family":"Wang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"78","reference":[{"issue":"11","key":"10.1016\/j.neucom.2026.134163_bib0005","doi-asserted-by":"crossref","first-page":"2110","DOI":"10.1109\/TNNLS.2014.2305443","article-title":"Synchronization on complex networks of networks","volume":"25","author":"Lu","year":"2014","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"issue":"1","key":"10.1016\/j.neucom.2026.134163_bib0010","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1109\/TNNLS.2015.2475737","article-title":"Exponential synchronization of coupled stochastic memristor-based neural networks with time-varying probabilistic delay coupling and impulsive delay","volume":"27","author":"Bao","year":"2015","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"issue":"5","key":"10.1016\/j.neucom.2026.134163_bib0015","doi-asserted-by":"crossref","first-page":"1476","DOI":"10.1109\/TNNLS.2018.2868800","article-title":"Novel finite-time synchronization criteria for inertial neural networks with time delays via integral inequality method","volume":"30","author":"Zhang","year":"2018","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"issue":"82","key":"10.1016\/j.neucom.2026.134163_bib0020","article-title":"Ensemble of coupling forms and networks among brain rhythms as function of states and cognition","volume":"5","author":"Chen","year":"2022","journal-title":"Commun. Biol."},{"key":"10.1016\/j.neucom.2026.134163_bib0025","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1016\/j.neucom.2018.04.066","article-title":"A general memristor-based pulse coupled neural network with variable linking coefficient for multi-focus image fusion","volume":"308","author":"Peng","year":"2018","journal-title":"Neurocomputing"},{"issue":"3","key":"10.1016\/j.neucom.2026.134163_bib0030","doi-asserted-by":"crossref","first-page":"1543","DOI":"10.1007\/s11063-018-9788-6","article-title":"Global dissipativity of inertial neural networks with proportional delay via new generalized Halanay inequalities","volume":"48","author":"Li","year":"2018","journal-title":"Neural Process. Lett."},{"key":"10.1016\/j.neucom.2026.134163_bib0035","doi-asserted-by":"crossref","first-page":"190","DOI":"10.1016\/j.neunet.2019.08.003","article-title":"Non-fragile state estimation for fractional-order delayed memristive BAM neural networks","volume":"119","author":"Bao","year":"2019","journal-title":"Neural Netw."},{"issue":"12","key":"10.1016\/j.neucom.2026.134163_bib0040","doi-asserted-by":"crossref","first-page":"5618","DOI":"10.1109\/TCSI.2024.3387560","article-title":"Complex motion behavior and synchronization analysis of heterogeneous neural network","volume":"71","author":"Xiao","year":"2024","journal-title":"IEEE Trans. Circuits Syst. I, Reg. Papers"},{"issue":"10","key":"10.1016\/j.neucom.2026.134163_bib0045","doi-asserted-by":"crossref","first-page":"559","DOI":"10.1109\/81.473564","article-title":"Autonomous cellular neural networks: a unified paradigm for pattern formation and active wave propagation","volume":"42","author":"Chua","year":"2002","journal-title":"IEEE Trans. Circuits Syst. I, Fundam. Theory Appl."},{"issue":"2","key":"10.1016\/j.neucom.2026.134163_bib0050","doi-asserted-by":"crossref","first-page":"139","DOI":"10.1007\/s10470-005-5749-x","article-title":"Compact MOS implementation of a reaction-diffusion CNN","volume":"42","author":"Karahalilo\u011f lu","year":"2005","journal-title":"Analog Integr. Circuits Signal Process."},{"key":"10.1016\/j.neucom.2026.134163_bib0055","doi-asserted-by":"crossref","first-page":"35","DOI":"10.1016\/j.neunet.2019.03.016","article-title":"Stability of stochastic impulsive reaction\u2013diffusion neural networks with S-type distributed delays and its application to image encryption","volume":"116","author":"Wei","year":"2019","journal-title":"Neural Netw."},{"key":"10.1016\/j.neucom.2026.134163_bib0060","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2021.105777","article-title":"Synchronization of coupled reaction-diffusion stochastic neural networks with time-varying delay via delay-dependent impulsive pinning control algorithm","volume":"99","author":"Wu","year":"2021","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"10.1016\/j.neucom.2026.134163_bib0065","first-page":"14","article-title":"Persistent impulsive effects on stability of functional differential equations with finite or infinite delay","volume":"329","author":"Li","year":"2018","journal-title":"Appl. Math. Comput."},{"issue":"12","key":"10.1016\/j.neucom.2026.134163_bib0070","doi-asserted-by":"crossref","first-page":"2696","DOI":"10.1109\/TNNLS.2015.2512849","article-title":"Impulsive synchronization of reaction-diffusion neural networks with mixed delays and its application to image encryption","volume":"27","author":"Chen","year":"2016","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"issue":"4","key":"10.1016\/j.neucom.2026.134163_bib0075","doi-asserted-by":"crossref","first-page":"1460","DOI":"10.1109\/TNNLS.2020.2984770","article-title":"Impulsive synchronization of unbounded delayed inertial neural networks with actuator saturation and sampled-data control and its application to image encryption","volume":"32","author":"Li","year":"2020","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"10.1016\/j.neucom.2026.134163_bib0080","doi-asserted-by":"crossref","first-page":"46","DOI":"10.1016\/j.neunet.2023.11.022","article-title":"Event-triggered impulsive cluster synchronization of coupled reaction-diffusion neural networks and its application to image encryption","volume":"170","author":"Hui","year":"2024","journal-title":"Neural Netw."},{"issue":"12","key":"10.1016\/j.neucom.2026.134163_bib0085","doi-asserted-by":"crossref","first-page":"9877","DOI":"10.1109\/TSMC.2025.3623106","article-title":"Impulsive time window-based saturation impulsive synchronization of coupled neural networks","volume":"55","author":"Tang","year":"2025","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"10.1016\/j.neucom.2026.134163_bib0090","doi-asserted-by":"crossref","DOI":"10.1016\/j.neunet.2025.107690","article-title":"Stability of delayed systems with RL fractional order and application to synchronization in networks with delayed impulses","volume":"190","author":"Xing","year":"2025","journal-title":"Neural Netw."},{"issue":"4","key":"10.1016\/j.neucom.2026.134163_bib0095","doi-asserted-by":"crossref","first-page":"1014","DOI":"10.1109\/TAI.2024.3507740","article-title":"Aperiodically intermittent control approach to finite-time synchronization of delayed inertial memristive neural networks","volume":"6","author":"Jiang","year":"2025","journal-title":"IEEE Trans. Artif. Intell."},{"issue":"8","key":"10.1016\/j.neucom.2026.134163_bib0100","doi-asserted-by":"crossref","first-page":"3610","DOI":"10.1109\/TCYB.2025.3571442","article-title":"Event-triggered global finite-time sliding mode control for impulsive nonlinear systems and its application to coupled RDNNs","volume":"55","author":"Hua","year":"2025","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.neucom.2026.134163_bib0105","doi-asserted-by":"crossref","first-page":"18319","DOI":"10.1007\/s11071-025-11124-0","article-title":"Finite-time group consensus for multi-agent systems of PDEs with hybrid impulses via event-triggered control strategy","volume":"113","author":"Wang","year":"2025","journal-title":"Nonlinear Dyn."},{"issue":"10","key":"10.1016\/j.neucom.2026.134163_bib0110","doi-asserted-by":"crossref","first-page":"5586","DOI":"10.1109\/TAC.2021.3123237","article-title":"Finite-time and fixed-time attractiveness for nonlinear impulsive systems","volume":"67","author":"Hu","year":"2021","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.neucom.2026.134163_bib0115","doi-asserted-by":"crossref","first-page":"412","DOI":"10.1016\/j.neunet.2019.12.028","article-title":"A new fixed-time stability theorem and its application to the fixed-time synchronization of neural networks","volume":"123","author":"Chen","year":"2020","journal-title":"Neural Netw."},{"key":"10.1016\/j.neucom.2026.134163_bib0120","doi-asserted-by":"crossref","first-page":"360","DOI":"10.1016\/j.isatra.2023.09.010","article-title":"Novel adaptive synchronization in finite-time and fixed-time for impulsive complex networks with semi-Markovian switching","volume":"143","author":"Fu","year":"2023","journal-title":"ISA Trans."},{"issue":"4","key":"10.1016\/j.neucom.2026.134163_bib0125","doi-asserted-by":"crossref","first-page":"1814","DOI":"10.1109\/TCYB.2025.3531224","article-title":"Semi-global and global fixed-time stability for nonlinear impulsive systems","volume":"55","author":"Ren","year":"2025","journal-title":"IEEE Trans. Cybern."},{"key":"10.1016\/j.neucom.2026.134163_bib0130","doi-asserted-by":"crossref","first-page":"312","DOI":"10.1016\/j.neunet.2023.04.003","article-title":"Resilient fixed-time stabilization of switched neural networks subjected to impulsive deception attacks","volume":"163","author":"Bao","year":"2023","journal-title":"Neural Netw."},{"issue":"2","key":"10.1016\/j.neucom.2026.134163_bib0135","doi-asserted-by":"crossref","first-page":"1872","DOI":"10.1109\/TNNLS.2022.3185664","article-title":"Fixed-time stability of nonlinear impulsive systems and its application to inertial neural networks","volume":"35","author":"Hua","year":"2022","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"key":"10.1016\/j.neucom.2026.134163_bib0140","article-title":"Pinning synchronization of delayed inertial neural networks with reaction-diffusion terms under stochastic deception attacks using Markov switched control and its application to image encryption","volume":"150","author":"Kowsalya","year":"2025","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"key":"10.1016\/j.neucom.2026.134163_bib0145","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2023.107538","article-title":"Event-triggered boundary consensus control for multi-agent systems of fractional reaction-diffusion PDEs","volume":"127","author":"Zhao","year":"2023","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"issue":"2","key":"10.1016\/j.neucom.2026.134163_bib0150","doi-asserted-by":"crossref","first-page":"212","DOI":"10.1109\/TAC.1977.1101446","article-title":"Variable structure systems with sliding modes","volume":"22","author":"Utkin","year":"2003","journal-title":"IEEE Trans. Autom. Control"},{"issue":"5","key":"10.1016\/j.neucom.2026.134163_bib0155","doi-asserted-by":"crossref","first-page":"2818","DOI":"10.1109\/TFUZZ.2018.2802458","article-title":"Observer-based fuzzy integral sliding mode control for nonlinear descriptor systems","volume":"26","author":"Li","year":"2018","journal-title":"IEEE Trans. Fuzzy Syst."},{"issue":"4","key":"10.1016\/j.neucom.2026.134163_bib0160","doi-asserted-by":"crossref","first-page":"2044","DOI":"10.1109\/TAC.2021.3073099","article-title":"Sliding-mode control for linear uncertain systems with impulse effects via switching gains","volume":"67","author":"Chen","year":"2021","journal-title":"IEEE Trans. Autom. Control"},{"issue":"11","key":"10.1016\/j.neucom.2026.134163_bib0165","doi-asserted-by":"crossref","first-page":"6203","DOI":"10.1109\/TAC.2021.3129735","article-title":"Sliding mode control for linear impulsive systems with matched disturbances","volume":"67","author":"Li","year":"2021","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.neucom.2026.134163_bib0170","doi-asserted-by":"crossref","DOI":"10.1016\/j.chaos.2023.114044","article-title":"Stability analysis of a cart-pendulum model with variable convergence rate: a sliding mode control approach for impulsive stochastic systems","volume":"175","author":"Li","year":"2023","journal-title":"Chaos Solitons Fractals"},{"issue":"2","key":"10.1016\/j.neucom.2026.134163_bib0175","doi-asserted-by":"crossref","first-page":"1154","DOI":"10.1109\/TAC.2022.3149865","article-title":"Integral sliding mode control for a kind of impulsive uncertain reaction-diffusion systems","volume":"68","author":"Kao","year":"2023","journal-title":"IEEE Trans. Autom. Control"},{"issue":"6","key":"10.1016\/j.neucom.2026.134163_bib0180","doi-asserted-by":"crossref","first-page":"8348","DOI":"10.1109\/TNNLS.2022.3227109","article-title":"Observer-based boundary stabilization of coupled semilinear reaction-diffusion neural networks with spatially varying coefficients via event-triggered controller","volume":"35","author":"Ge","year":"2022","journal-title":"IEEE Trans. Neural Netw. Learn. Syst."},{"issue":"1","key":"10.1016\/j.neucom.2026.134163_bib0185","doi-asserted-by":"crossref","first-page":"549","DOI":"10.1109\/TAC.2024.3438370","article-title":"Robust sliding mode boundary stabilization for uncertain delay reaction-diffusion systems","volume":"70","author":"Zhou","year":"2025","journal-title":"IEEE Trans. Autom. Control"},{"key":"10.1016\/j.neucom.2026.134163_bib0190","doi-asserted-by":"crossref","DOI":"10.1016\/j.cnsns.2025.108633","article-title":"Observer-based sliding mode boundary control of uncertain Markovian stochastic reaction-diffusion systems","volume":"143","author":"Zhou","year":"2025","journal-title":"Commun. Nonlinear Sci. Numer. Simul."},{"issue":"9","key":"10.1016\/j.neucom.2026.134163_bib0195","doi-asserted-by":"crossref","first-page":"5307","DOI":"10.1109\/TSMC.2023.3258222","article-title":"Adaptive event-triggered mechanism to synchronization of reaction\u2013diffusion CVNNs and its application in image secure communication","volume":"53","author":"Wu","year":"2023","journal-title":"IEEE Trans. Syst. Man Cybern. Syst."},{"key":"10.1016\/j.neucom.2026.134163_bib0200","first-page":"7","article-title":"Linear matrix inequalities in system and control theory","author":"Boyd","year":"1994","journal-title":"Soc. Ind. Appl. Math."},{"issue":"2","key":"10.1016\/j.neucom.2026.134163_bib0205","first-page":"31","article-title":"NPCR and UACI randomness tests for image encryption","volume":"1","author":"Wu","year":"2011","journal-title":"J. Sel. Areas Telecommun."}],"container-title":["Neurocomputing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925231226015614?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0925231226015614?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2026,6,15]],"date-time":"2026-06-15T07:53:29Z","timestamp":1781510009000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0925231226015614"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2026,10]]},"references-count":41,"alternative-id":["S0925231226015614"],"URL":"https:\/\/doi.org\/10.1016\/j.neucom.2026.134163","relation":{},"ISSN":["0925-2312"],"issn-type":[{"value":"0925-2312","type":"print"}],"subject":[],"published":{"date-parts":[[2026,10]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Fixed-time sliding mode synchronization for coupled reaction-diffusion neural networks under hybrid impulsive effects and its application to image encryption","name":"articletitle","label":"Article Title"},{"value":"Neurocomputing","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/j.neucom.2026.134163","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":"134163"}}