{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T01:18:19Z","timestamp":1760231899987,"version":"build-2065373602"},"reference-count":41,"publisher":"MDPI AG","issue":"10","license":[{"start":{"date-parts":[[2022,10,11]],"date-time":"2022-10-11T00:00:00Z","timestamp":1665446400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Centre for Nonlinear Systems, Chennai Institute of Technology, India","award":["CIT\/CNS\/2021\/RD\/064"],"award-info":[{"award-number":["CIT\/CNS\/2021\/RD\/064"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>Chaotic maps have simple structures but can display complex behavior. In this paper, we apply discrete memristance and a nonlinear term in order to design new memristive maps. A general model for constructing memristive maps has been presented, in which a memristor is connected in serial with a nonlinear term. By using this general model, different memristive maps have been built. Such memristive maps process special fixed points (infinite and without fixed point). A typical memristive map has been studied as an example via fixed points, bifurcation diagram, symmetry, and coexisting iterative plots.<\/jats:p>","DOI":"10.3390\/sym14102110","type":"journal-article","created":{"date-parts":[[2022,10,12]],"date-time":"2022-10-12T02:10:27Z","timestamp":1665540627000},"page":"2110","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":13,"title":["Discrete Memristance and Nonlinear Term for Designing Memristive Maps"],"prefix":"10.3390","volume":"14","author":[{"ORCID":"https:\/\/orcid.org\/0000-0003-1587-634X","authenticated-orcid":false,"given":"Janarthanan","family":"Ramadoss","sequence":"first","affiliation":[{"name":"Centre for Artificial Intelligence, Chennai Institute of Technology, Chennai 600069, India"}]},{"given":"Othman Abdullah","family":"Almatroud","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Faculty of Science, University of Ha\u2019il, Ha\u2019il 2440, Saudi Arabia"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-6326-8456","authenticated-orcid":false,"given":"Shaher","family":"Momani","sequence":"additional","affiliation":[{"name":"Nonlinear Dynamics Research Center (NDRC), Ajman University, Ajman 20550, United Arab Emirates"},{"name":"Department of Mathematics, Faculty of Science, University of Jordan, Amman 11942, Jordan"}]},{"given":"Viet-Thanh","family":"Pham","sequence":"additional","affiliation":[{"name":"Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam"}]},{"given":"Vo Phu","family":"Thoai","sequence":"additional","affiliation":[{"name":"Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City 758307, Vietnam"}]}],"member":"1968","published-online":{"date-parts":[[2022,10,11]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"080504","DOI":"10.1088\/1674-1056\/ac5a43","article-title":"Synchronously scrambled diffuse image encryption method based on a new cosine chaotic map","volume":"31","author":"Yan","year":"2022","journal-title":"Chin. 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