{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,6,9]],"date-time":"2026-06-09T23:02:43Z","timestamp":1781046163379,"version":"3.54.1"},"reference-count":45,"publisher":"Springer Science and Business Media LLC","issue":"19","license":[{"start":{"date-parts":[[2023,7,4]],"date-time":"2023-07-04T00:00:00Z","timestamp":1688428800000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2023,7,4]],"date-time":"2023-07-04T00:00:00Z","timestamp":1688428800000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61961019"],"award-info":[{"award-number":["61961019"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Appl Intell"],"published-print":{"date-parts":[[2023,10]]},"DOI":"10.1007\/s10489-023-04727-w","type":"journal-article","created":{"date-parts":[[2023,7,4]],"date-time":"2023-07-04T04:02:06Z","timestamp":1688443326000},"page":"22863-22881","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":32,"title":["Image encryption using memristive hyperchaos"],"prefix":"10.1007","volume":"53","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-7703-9793","authenticated-orcid":false,"given":"Qiang","family":"Lai","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Yuan","family":"Liu","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Liang","family":"Yang","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2023,7,4]]},"reference":[{"issue":"12","key":"4727_CR1","first-page":"4957","volume":"68","author":"L Wang","year":"2021","unstructured":"Wang L, Jiang S, Ge MF, Cheng H, Hu J (2021) Finite-\/fixed-time synchronization of memristor chaotic systems and image encryption application. IEEE Trans Circ Syst-I: Regular Papers 68(12):4957\u20134969","journal-title":"IEEE Trans Circ Syst-I: Regular Papers"},{"issue":"3","key":"4727_CR2","doi-asserted-by":"crossref","first-page":"2556","DOI":"10.1007\/s10489-021-02508-x","volume":"52","author":"CM Kumar","year":"2022","unstructured":"Kumar CM, Vidhya R, Brindha M (2022) An efficient chaos based image encryption algorithm using enhanced thorp shuffle and chaotic convolution function. Appl Intel 52(3):2556\u20132585","journal-title":"Appl Intel"},{"key":"4727_CR3","doi-asserted-by":"crossref","first-page":"25583","DOI":"10.1007\/s11042-021-10773-8","volume":"80","author":"B Bouteghrine","year":"2021","unstructured":"Bouteghrine B, Tanougast C, Sadoudi S (2021) Novel image encryption algorithm based on new 3-d chaos map. Multi Tools Appl 80:25583\u201325605","journal-title":"Multi Tools Appl"},{"issue":"9","key":"4727_CR4","doi-asserted-by":"crossref","first-page":"2001","DOI":"10.1109\/TCYB.2014.2363168","volume":"45","author":"Y Zhou","year":"2014","unstructured":"Zhou Y, Hua Z, Pun CM, Chen CLP (2014) Cascade chaotic system with applications. IEEE Trans Cybern 45(9):2001\u20132012","journal-title":"IEEE Trans Cybern"},{"key":"4727_CR5","doi-asserted-by":"crossref","first-page":"615","DOI":"10.1007\/s11071-010-9749-8","volume":"62","author":"XY Wang","year":"2010","unstructured":"Wang XY, Yang L, Liu R, Kadir A (2010) A chaotic image encryption algorithm based on perceptron model. Nonlinear Dyn 62:615\u2013621","journal-title":"Nonlinear Dyn"},{"key":"4727_CR6","volume":"128","author":"SC Wang","year":"2020","unstructured":"Wang SC, Wang CH, Xu C (2020) An image encryption algorithm based on a hidden attractor chaos system and the Knuth-Durstenfeld algorithm. Opt Lasers Eng 128:105995","journal-title":"Opt Lasers Eng"},{"key":"4727_CR7","doi-asserted-by":"crossref","first-page":"26203","DOI":"10.1007\/s11042-019-07818-4","volume":"78","author":"M Khan","year":"2019","unstructured":"Khan M, Masood F (2019) A novel chaotic image encryption technique based on multiple discrete dynamical maps. Multi Tools Appl 78:26203\u201326222","journal-title":"Multi Tools Appl"},{"issue":"3","key":"4727_CR8","doi-asserted-by":"crossref","first-page":"2705","DOI":"10.1007\/s11071-022-07335-4","volume":"108","author":"S Nan","year":"2022","unstructured":"Nan S, Feng X, Wu Y, Zhang H (2022) Remote sensing image compression and encryption based on block compressive sensing and 2D-LCCCM. Nonlinear Dyn 108(3):2705\u20132729","journal-title":"Nonlinear Dyn"},{"key":"4727_CR9","volume":"165","author":"Q Lai","year":"2022","unstructured":"Lai Q, Yang L, Liu Y (2022) Design and realization of discrete memristive hyperchaotic map with application in image encryption. Chaos Solit Fract 165:112781","journal-title":"Chaos Solit Fract"},{"key":"4727_CR10","doi-asserted-by":"crossref","first-page":"17","DOI":"10.1016\/j.optlaseng.2015.09.007","volume":"78","author":"L Xu","year":"2016","unstructured":"Xu L, Li Z, Li J, Hua W (2016) A novel bit-level image encryption algorithm based on chaotic maps. Opt Lasers Eng 78:17\u201325","journal-title":"Opt Lasers Eng"},{"key":"4727_CR11","doi-asserted-by":"crossref","first-page":"122","DOI":"10.1016\/j.sigpro.2017.08.020","volume":"143","author":"C Cao","year":"2018","unstructured":"Cao C, Sun K, Liu W (2018) A novel bit-level image encryption algorithm based on 2D-LICM hyperchaotic map. Signal Process 143:122\u2013133","journal-title":"Signal Process"},{"key":"4727_CR12","doi-asserted-by":"crossref","first-page":"859","DOI":"10.1007\/s11071-018-4600-8","volume":"95","author":"SF Raza","year":"2019","unstructured":"Raza SF, Satpute V (2019) A novel bit permutation-based image encryption algorithm. Nonlinear Dyn 95:859\u2013873","journal-title":"Nonlinear Dyn"},{"key":"4727_CR13","doi-asserted-by":"crossref","first-page":"238","DOI":"10.1016\/j.optlaseng.2016.10.020","volume":"90","author":"Y Li","year":"2017","unstructured":"Li Y, Wang C, Chen H (2017) A hyper-chaos-based image encryption algorithm using pixel-level permutation and bit-level permutation. Opt Lasers Eng 90:238\u2013246","journal-title":"Opt Lasers Eng"},{"key":"4727_CR14","doi-asserted-by":"crossref","first-page":"197","DOI":"10.1016\/j.optlaseng.2016.08.009","volume":"88","author":"X Chai","year":"2017","unstructured":"Chai X, Chen Y, Broyde L (2017) A novel chaos-based image encryption algorithm using DNA sequence operations. Opt Lasers Eng 88:197\u2013213","journal-title":"Opt Lasers Eng"},{"issue":"17","key":"4727_CR15","doi-asserted-by":"crossref","first-page":"24757","DOI":"10.1007\/s11042-022-12479-x","volume":"81","author":"H Zhong","year":"2022","unstructured":"Zhong H, Li G (2022) Multi-image encryption algorithm based on wavelet transform and 3D shuffling scrambling. Multi Tools Appl 81(17):24757\u201324776","journal-title":"Multi Tools Appl"},{"key":"4727_CR16","doi-asserted-by":"crossref","first-page":"13792","DOI":"10.1109\/ACCESS.2020.2966264","volume":"8","author":"T Li","year":"2020","unstructured":"Li T, Du B, Liang X (2020) Image encryption algorithm based on logistic and two-dimensional lorenz. IEEE Access 8:13792-13805","journal-title":"IEEE Access"},{"key":"4727_CR17","doi-asserted-by":"crossref","first-page":"119923","DOI":"10.1016\/j.eswa.2023.119923","volume":"223","author":"Q Lai","year":"2023","unstructured":"Lai Q, Liu Y (2023) A cross-channel color image encryption algorithm using two-dimensional hyperchaotic map. Expert Syst Appli 223:119923","journal-title":"Expert Syst Appli"},{"issue":"18","key":"4727_CR18","doi-asserted-by":"crossref","first-page":"3680","DOI":"10.1016\/j.optcom.2009.06.014","volume":"282","author":"W Chen","year":"2009","unstructured":"Chen W, Quan C, Tay CJ (2009) Optical color image encryption based on Arnold transform and interference method. Opt commun 282(18):3680\u20133685","journal-title":"Opt commun"},{"issue":"6","key":"4727_CR19","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1109\/JPHOT.2018.2880590","volume":"10","author":"W Feng","year":"2018","unstructured":"Feng W, He YG (2018) Cryptanalysis and improvement of the hyper-chaotic image encryption scheme based on DNA encoding and scrambling. IEEE Photonics Journal 10(6):1\u201315","journal-title":"IEEE Photonics Journal"},{"issue":"22","key":"4727_CR20","doi-asserted-by":"crossref","first-page":"31753","DOI":"10.1007\/s11042-022-13003-x","volume":"81","author":"X Zhang","year":"2022","unstructured":"Zhang X, Gong Z (2022) Color image encryption algorithm based on 3D Zigzag transformation and view planes. Multi Tools Appl 81(22):31753\u201331785","journal-title":"Multi Tools Appl"},{"issue":"13","key":"4727_CR21","doi-asserted-by":"crossref","first-page":"15703","DOI":"10.1007\/s10489-022-03174-3","volume":"52","author":"J Zheng","year":"2022","unstructured":"Zheng J, Zeng Q (2022) An image encryption algorithm using a dynamic S-box and chaotic maps. Appl Intell 52(13):15703\u201315717","journal-title":"Appl Intell"},{"issue":"3","key":"4727_CR22","doi-asserted-by":"crossref","first-page":"2671","DOI":"10.1007\/s11071-022-07328-3","volume":"108","author":"X Chai","year":"2022","unstructured":"Chai X, Fu J, Gan Z, Lu Y, Zhang Y (2022) An image encryption scheme based on multi-objective optimization and block compressed sensing. Nonlinear Dyn 108(3):2671\u20132704","journal-title":"Nonlinear Dyn"},{"issue":"1","key":"4727_CR23","doi-asserted-by":"crossref","first-page":"613","DOI":"10.1007\/s11071-021-07192-7","volume":"108","author":"X Gao","year":"2022","unstructured":"Gao X, Mou J, Xiong L, Sha Y, Yan H, Cao Y (2022) A fast and efficient multiple images encryption based on single-channel encryption and chaotic system. Nonlinear Dyn 108(1):613\u2013636","journal-title":"Nonlinear Dyn"},{"key":"4727_CR24","doi-asserted-by":"crossref","first-page":"745","DOI":"10.1007\/s11071-018-4391-y","volume":"94","author":"G Ye","year":"2018","unstructured":"Ye G, Pan C, Huang X, Mei Q (2018) An efficient pixel-level chaotic image encryption algorithm. Nonlinear Dyn 94:745\u2013756","journal-title":"Nonlinear Dyn"},{"key":"4727_CR25","volume":"213","author":"Q Lai","year":"2023","unstructured":"Lai Q, Hu G, Erkan U, Toktas A (2023) A novel pixel-split image encryption scheme based on 2D Salomon map. Expert Syst Appli 213:118845","journal-title":"Expert Syst Appli"},{"key":"4727_CR26","doi-asserted-by":"crossref","first-page":"172","DOI":"10.1016\/j.sigpro.2013.10.034","volume":"97","author":"Y Zhou","year":"2014","unstructured":"Zhou Y, Bao L, Chen CLP (2014) A new 1D chaotic system for image encryption. Signal Processing 97:172\u2013182","journal-title":"Signal Processing"},{"key":"4727_CR27","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1016\/j.sigpro.2018.06.008","volume":"153","author":"J Wu","year":"2018","unstructured":"Wu J, Liao X, Yang B (2018) Image encryption using 2D H-non-Sine map and DNA approach. Signal Process 153:11\u201323","journal-title":"Signal Process"},{"key":"4727_CR28","doi-asserted-by":"crossref","first-page":"1489","DOI":"10.1007\/s11071-019-05370-2","volume":"99","author":"X Ye","year":"2020","unstructured":"Ye X, Wang X, Gao S, Mou J, Wang Z, Yang F (2020) A new chaotic circuit with multiple memristors and its application in image encryption. Nonlinear Dyn 99:1489\u20131506","journal-title":"Nonlinear Dyn"},{"key":"4727_CR29","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2022.3146570","author":"Q Lai","year":"2022","unstructured":"Lai Q, Wan Z, Zhang H, Chen G (2022) Design and analysis of multiscroll memristive hopfield neural network with adjustable memductance and application to image encryption[J]. IEEE Trans Neur Netw Learn Syst. https:\/\/doi.org\/10.1109\/TNNLS.2022.3146570","journal-title":"IEEE Trans Neur Netw Learn Syst"},{"key":"4727_CR30","doi-asserted-by":"crossref","first-page":"2241","DOI":"10.1007\/s11071-016-2642-3","volume":"84","author":"Y Liu","year":"2016","unstructured":"Liu Y, Zhang LY, Wang J, Zhang Y (2016) Chosen-plaintext attack of an image encryption scheme based on modified permutation-diffusion structure. Nonlinear dyn 84:2241\u20132250","journal-title":"Nonlinear dyn"},{"key":"4727_CR31","doi-asserted-by":"crossref","first-page":"107286","DOI":"10.1016\/j.sigpro.2019.107286","volume":"167","author":"Y Chen","year":"2020","unstructured":"Chen Y, Tang C, Ye R (2020) Cryptanalysis and improvement of medical image encryption using high-speed scrambling and pixel adaptive diffusion. Signal Process 167:107286","journal-title":"Signal Process"},{"key":"4727_CR32","doi-asserted-by":"crossref","unstructured":"Liu Y, Qin Z, Liao X, Wu J (2020) Cryptanalysis and enhancement of an image encryption scheme based on a 1-D coupled Sine map. Nonlinear Dyn 100:2917\u20132931","DOI":"10.1007\/s11071-020-05654-y"},{"issue":"1","key":"4727_CR33","doi-asserted-by":"crossref","first-page":"1062","DOI":"10.1109\/TITS.2021.3129598","volume":"24","author":"Y Sun","year":"2021","unstructured":"Sun Y, Yu K, Bashir AK, Liao X (2021) Bl-IEA: A bit-level image encryption algorithm for cognitive services in intelligent transportation systems. IEEE Trans Intell Transp Syst 24(1):1062\u20131074","journal-title":"IEEE Trans Intell Transp Syst"},{"issue":"4","key":"4727_CR34","doi-asserted-by":"crossref","first-page":"3887","DOI":"10.1007\/s11071-022-08021-1","volume":"111","author":"W Lv","year":"2023","unstructured":"Lv W, Chen J, Chai X, Fu C (2023) A robustness-improved image encryption scheme utilizing Life-liked cellular automaton. Nonlinear Dyn 111(4):3887\u20133907","journal-title":"Nonlinear Dyn"},{"key":"4727_CR35","doi-asserted-by":"crossref","unstructured":"Peng Y, He S, Sun K (2021) Chaos in the discrete memristor-based system with fractional-order difference. Results in Phys 24:104106","DOI":"10.1016\/j.rinp.2021.104106"},{"issue":"3","key":"4727_CR36","first-page":"1324","volume":"70","author":"Q Lai","year":"2023","unstructured":"Lai Q, Wan Z, Kuate PDK (2023) Generating Grid Multi-Scroll Attractors in Memristive Neural Networks. IEEE Trans Circ Syst-I: Regular Papers 70(3):1324\u20131336","journal-title":"IEEE Trans Circ Syst-I: Regular Papers"},{"key":"4727_CR37","doi-asserted-by":"crossref","first-page":"80","DOI":"10.1016\/j.ins.2014.11.018","volume":"297","author":"Z Hua","year":"2015","unstructured":"Hua Z, Zhou Y, Pun CM, Chen CLP (2015) 2D Sine Logistic modulation map for image encryption. Inf Sci 297:80\u201394","journal-title":"Inf Sci"},{"issue":"1","key":"4727_CR38","doi-asserted-by":"crossref","first-page":"77","DOI":"10.1016\/0375-9601(94)90991-1","volume":"185","author":"H Kantz","year":"1994","unstructured":"Kantz H (1994) A robust method to estimate the maximal Lyapunov exponent of a time series. Phys Lett A 185(1):77\u201387","journal-title":"Phys Lett A"},{"issue":"8","key":"4727_CR39","first-page":"2992","volume":"68","author":"B Bao","year":"2021","unstructured":"Bao B, Rong K, Li H, Li K, Hua Z, Zhang X (2021) Memristor-coupled logistic hyperchaotic map. IEEE Trans Circ Syst-II: Express Briefs 68(8):2992\u20132996","journal-title":"IEEE Trans Circ Syst-II: Express Briefs"},{"key":"4727_CR40","doi-asserted-by":"crossref","first-page":"314","DOI":"10.1016\/j.ins.2015.10.027","volume":"355","author":"AV Diaconu","year":"2016","unstructured":"Diaconu AV (2016) Circular inter-intra pixels bit-level permutation and chaos-based image encryption. Inf Sci 355:314\u2013327","journal-title":"Inf Sci"},{"key":"4727_CR41","doi-asserted-by":"crossref","first-page":"403","DOI":"10.1016\/j.ins.2018.12.048","volume":"480","author":"Z Hua","year":"2019","unstructured":"Hua Z, Zhou Y, Huang H (2019) Cosine-transform-based chaotic system for image encryption. Inf Sci 480:403\u2013419","journal-title":"Inf Sci"},{"issue":"1","key":"4727_CR42","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1109\/18.61115","volume":"37","author":"J Lin","year":"1991","unstructured":"Lin J (1991) Divergence measures based on the Shannon entropy. IEEE Trans Inf Theory 37(1):145\u2013151","journal-title":"IEEE Trans Inf Theory"},{"issue":"2","key":"4727_CR43","first-page":"31","volume":"1","author":"Y Wu","year":"2011","unstructured":"Wu Y, Noonan JP, Agaian S (2011) NPCR and UACI randomness tests for image encryption. Cyber J Multidisci J Sci Tech J Selec Areas Telecommun (JSAT) 1(2):31\u201338","journal-title":"Cyber J Multidisci J Sci Tech J Selec Areas Telecommun (JSAT)"},{"key":"4727_CR44","doi-asserted-by":"crossref","first-page":"75834","DOI":"10.1109\/ACCESS.2018.2883690","volume":"6","author":"C Li","year":"2018","unstructured":"Li C, Lin D, Feng B, Lv J, Hao F (2018) Cryptanalysis of a chaotic image encryption algorithm based on information entropy. IEEE Access 6:75834\u201375842","journal-title":"IEEE Access"},{"issue":"08","key":"4727_CR45","doi-asserted-by":"crossref","first-page":"2129","DOI":"10.1142\/S0218127406015970","volume":"16","author":"G Alvarez","year":"2006","unstructured":"Alvarez G, Li S (2006) Some basic cryptographic requirements for chaos-based cryptosystems. Inter J Bifur chaos 16(08):2129\u20132151","journal-title":"Inter J Bifur chaos"}],"container-title":["Applied Intelligence"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10489-023-04727-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s10489-023-04727-w\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s10489-023-04727-w.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,10,18]],"date-time":"2023-10-18T13:28:34Z","timestamp":1697635714000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s10489-023-04727-w"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2023,7,4]]},"references-count":45,"journal-issue":{"issue":"19","published-print":{"date-parts":[[2023,10]]}},"alternative-id":["4727"],"URL":"https:\/\/doi.org\/10.1007\/s10489-023-04727-w","relation":{},"ISSN":["0924-669X","1573-7497"],"issn-type":[{"value":"0924-669X","type":"print"},{"value":"1573-7497","type":"electronic"}],"subject":[],"published":{"date-parts":[[2023,7,4]]},"assertion":[{"value":"23 May 2023","order":1,"name":"accepted","label":"Accepted","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"4 July 2023","order":2,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}},{"order":1,"name":"Ethics","group":{"name":"EthicsHeading","label":"Declarations"}},{"value":"The authors declare that they have no known competing financial interestsor personal relationships that could have appeared to influence the work reported in this article.","order":2,"name":"Ethics","group":{"name":"EthicsHeading","label":"Conflict of Interests"}}]}}