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We show that the discrete Hopfield neural network considered is chaotic in the sense of Devaney, Li\u2013Yorke, and Poincar\u00e9. Mathematical analysis and numerical simulation are provided to confirm the presence of chaos in the network.<\/jats:p>","DOI":"10.1142\/s0218127419502055","type":"journal-article","created":{"date-parts":[[2019,12,26]],"date-time":"2019-12-26T09:36:48Z","timestamp":1577353008000},"page":"1950205","source":"Crossref","is-referenced-by-count":14,"title":["Domain-Structured Chaos in a Hopfield Neural Network"],"prefix":"10.1142","volume":"29","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2985-286X","authenticated-orcid":false,"given":"Marat","family":"Akhmet","sequence":"first","affiliation":[{"name":"Department of Mathematics, Middle East Technical University, 06800 Ankara, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Ejaily Milad","family":"Alejaily","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Middle East Technical University, 06800 Ankara, Turkey"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2019,12,26]]},"reference":[{"key":"S0218127419502055BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(90)90136-C"},{"key":"S0218127419502055BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.neucom.2014.05.038"},{"key":"S0218127419502055BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2016.04.007"},{"key":"S0218127419502055BIB004","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2016.12.015"},{"key":"S0218127419502055BIB005","first-page":"1","volume-title":"Neural Networks for Knowledge Representation and Inference","author":"Aparicio M.","year":"1994"},{"key":"S0218127419502055BIB006","first-page":"1","volume-title":"Dynamical Systems. 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