{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,4]],"date-time":"2026-07-04T16:11:52Z","timestamp":1783181512178,"version":"3.54.6"},"reference-count":46,"publisher":"Institute of Electrical and Electronics Engineers (IEEE)","issue":"6","license":[{"start":{"date-parts":[[2018,6,1]],"date-time":"2018-06-01T00:00:00Z","timestamp":1527811200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/ieeexplore.ieee.org\/Xplorehelp\/downloads\/license-information\/IEEE.html"}],"funder":[{"DOI":"10.13039\/501100003593","name":"CNPq","doi-asserted-by":"publisher","award":["305486\/2014-4"],"award-info":[{"award-number":["305486\/2014-4"]}],"id":[{"id":"10.13039\/501100003593","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["IEEE Trans. Neural Netw. Learning Syst."],"published-print":{"date-parts":[[2018,6]]},"DOI":"10.1109\/tnnls.2017.2691462","type":"journal-article","created":{"date-parts":[[2017,5,5]],"date-time":"2017-05-05T18:25:53Z","timestamp":1494008753000},"page":"2464-2471","source":"Crossref","is-referenced-by-count":46,"title":["On the Dynamics of Hopfield Neural Networks on Unit Quaternions"],"prefix":"10.1109","volume":"29","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-4026-5110","authenticated-orcid":false,"given":"Marcos Eduardo","family":"Valle","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Fidelis Zanetti","family":"de Castro","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"263","reference":[{"key":"ref39","doi-asserted-by":"publisher","DOI":"10.1109\/IJCNN.2016.7727777"},{"key":"ref38","doi-asserted-by":"publisher","DOI":"10.1109\/IJCNN.2015.7280692"},{"key":"ref33","doi-asserted-by":"publisher","DOI":"10.1109\/TGRS.2013.2291940"},{"key":"ref32","doi-asserted-by":"publisher","DOI":"10.1109\/LSP.2010.2091126"},{"key":"ref31","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2011.2157358"},{"key":"ref30","doi-asserted-by":"publisher","DOI":"10.1109\/IJCNN.2016.7727734"},{"key":"ref37","doi-asserted-by":"publisher","DOI":"10.1109\/IJCNN.2012.6252775"},{"key":"ref36","doi-asserted-by":"publisher","DOI":"10.1109\/IJCNN.2012.6252536"},{"key":"ref35","first-page":"243","author":"popa","year":"2016","journal-title":"Scaled Conjugate Gradient Learning for Quaternion-Valued Neural Networks"},{"key":"ref34","doi-asserted-by":"publisher","DOI":"10.1109\/ICDSP.2015.7251935"},{"key":"ref10","first-page":"809","article-title":"On the scheme of multistate quaternionic Hopfield neural network","author":"isokawa","year":"2008","journal-title":"Proc Joint 4th Int Conf Soft Comput Intell Syst 9th Int Symp Adv Intell Syst (SCIS ISIS)"},{"key":"ref40","first-page":"218","article-title":"Fundamental properties of quaternionic Hopfield neural network","author":"isokawa","year":"2006","journal-title":"Proc Int Joint Conf Neural Netw (IJCNN)"},{"key":"ref11","doi-asserted-by":"publisher","DOI":"10.1002\/9781118590072.ch5"},{"key":"ref12","doi-asserted-by":"publisher","DOI":"10.1109\/BRACIS.2014.28"},{"key":"ref13","doi-asserted-by":"publisher","DOI":"10.1587\/transfun.E98.A.1512"},{"key":"ref14","doi-asserted-by":"publisher","DOI":"10.1007\/s10015-015-0247-4"},{"key":"ref15","doi-asserted-by":"publisher","DOI":"10.1002\/tee.22269"},{"key":"ref16","doi-asserted-by":"publisher","DOI":"10.1002\/tee.22394"},{"key":"ref17","doi-asserted-by":"publisher","DOI":"10.1109\/IJCNN.2008.4634314"},{"key":"ref18","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2012.2230450"},{"key":"ref19","doi-asserted-by":"publisher","DOI":"10.1109\/IJCNN.2016.7727778"},{"key":"ref28","doi-asserted-by":"crossref","first-page":"663","DOI":"10.1109\/TNNLS.2014.2320715","article-title":"Quaternion-valued echo state networks","volume":"26","author":"xia","year":"2015","journal-title":"IEEE Trans Neural Netw Learn Syst"},{"key":"ref4","doi-asserted-by":"publisher","DOI":"10.1007\/s11063-007-9055-8"},{"key":"ref27","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2013.2277540"},{"key":"ref3","first-page":"141","article-title":"‘Neural’ computation of decisions in optimization problems","volume":"52","author":"hopfield","year":"1985","journal-title":"Biol"},{"key":"ref6","doi-asserted-by":"publisher","DOI":"10.1109\/72.548176"},{"key":"ref29","doi-asserted-by":"publisher","DOI":"10.1109\/TNNLS.2015.2440473"},{"key":"ref5","doi-asserted-by":"publisher","DOI":"10.1073\/pnas.79.8.2554"},{"key":"ref8","doi-asserted-by":"crossref","first-page":"1341","DOI":"10.1109\/TNN.2006.878786","article-title":"Improvements of complex-valued Hopfield associative memory by using generalized projection rules","volume":"17","author":"lee","year":"2006","journal-title":"IEEE Trans Neural Netw"},{"key":"ref7","doi-asserted-by":"publisher","DOI":"10.1109\/TNN.2003.813844"},{"key":"ref2","doi-asserted-by":"publisher","DOI":"10.1109\/78.847795"},{"key":"ref9","doi-asserted-by":"publisher","DOI":"10.1109\/IJCNN.2016.7727491"},{"key":"ref1","doi-asserted-by":"publisher","DOI":"10.1109\/NNSP.2000.890168"},{"key":"ref46","doi-asserted-by":"publisher","DOI":"10.1007\/3-540-31182-3_55"},{"key":"ref20","first-page":"127","author":"popa","year":"2016","journal-title":"Matrix-Valued Hopfield Neural Networks"},{"key":"ref45","doi-asserted-by":"publisher","DOI":"10.1887\/0750303123\/b365c49"},{"key":"ref22","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-642-27632-3"},{"key":"ref21","doi-asserted-by":"publisher","DOI":"10.4018\/978-1-60566-214-5"},{"key":"ref42","doi-asserted-by":"publisher","DOI":"10.1142\/S0129065708001440"},{"key":"ref24","doi-asserted-by":"publisher","DOI":"10.1109\/ISCAS.1996.541670"},{"key":"ref41","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-540-74690-4_86"},{"key":"ref23","doi-asserted-by":"publisher","DOI":"10.1016\/j.sigpro.2016.07.021"},{"key":"ref44","author":"hassoun","year":"1993","journal-title":"Associative Neural Memories Theory and Implementation"},{"key":"ref26","first-page":"318","author":"isokawa","year":"2003","journal-title":"Quaternion Neural Network and Its Application"},{"key":"ref43","article-title":"Hypercomplex spectral signal representations for image processing and analysis","author":"b\u00fclow","year":"1999"},{"key":"ref25","doi-asserted-by":"publisher","DOI":"10.1007\/BFb0047687"}],"container-title":["IEEE Transactions on Neural Networks and Learning Systems"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx7\/5962385\/8360119\/07920339.pdf?arnumber=7920339","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,1,12]],"date-time":"2022-01-12T16:22:32Z","timestamp":1642004552000},"score":1,"resource":{"primary":{"URL":"https:\/\/ieeexplore.ieee.org\/document\/7920339\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2018,6]]},"references-count":46,"journal-issue":{"issue":"6"},"URL":"https:\/\/doi.org\/10.1109\/tnnls.2017.2691462","relation":{},"ISSN":["2162-237X","2162-2388"],"issn-type":[{"value":"2162-237X","type":"print"},{"value":"2162-2388","type":"electronic"}],"subject":[],"published":{"date-parts":[[2018,6]]}}}