{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,22]],"date-time":"2026-02-22T22:34:51Z","timestamp":1771799691997,"version":"3.50.1"},"reference-count":35,"publisher":"MDPI AG","issue":"3","license":[{"start":{"date-parts":[[2023,3,13]],"date-time":"2023-03-13T00:00:00Z","timestamp":1678665600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["61871230"],"award-info":[{"award-number":["61871230"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["51974045"],"award-info":[{"award-number":["51974045"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"name":"Priority Academic Program Development of Jiangsu Higher Education Institutions","award":["61871230"],"award-info":[{"award-number":["61871230"]}]},{"name":"Priority Academic Program Development of Jiangsu Higher Education Institutions","award":["51974045"],"award-info":[{"award-number":["51974045"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Symmetry"],"abstract":"<jats:p>The offset as the average value of a variable plays an important role in signal processing and system design. Offset boosting can be realized by a non-bifurcation parameter or an initial condition. In this work, symmetric coexisting attractors with opposite polarity and a 2D hyperchaotic map with multiple modes of offset boosting are proposed, where the offset can be controlled both by the initial condition and system parameter, and as a result, multiple alternatives of offset boosting and offset competition show up. Consequently, the final offset is determined eventually by the balance of two factors. The theoretical findings are verified through the hardware experiment based on the STM32. Finally, a pseudo-random number generator (PRNG) is constructed based on the newly proposed hyperchaotic map, demonstrating its high performance in engineering applications.<\/jats:p>","DOI":"10.3390\/sym15030712","type":"journal-article","created":{"date-parts":[[2023,3,13]],"date-time":"2023-03-13T06:09:56Z","timestamp":1678687796000},"page":"712","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":12,"title":["Multiple Alternatives of Offset Boosting in a Symmetric Hyperchaotic Map"],"prefix":"10.3390","volume":"15","author":[{"given":"Xizhai","family":"Ge","sequence":"first","affiliation":[{"name":"School of Artificial Intelligence, Nanjing University of Information Science & Technology, Nanjing 210044, China"},{"name":"School of Electronic and Information Engineering, Nanjing University of Information Science & Technology, Nanjing 210044, China"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9932-0914","authenticated-orcid":false,"given":"Chunbiao","family":"Li","sequence":"additional","affiliation":[{"name":"School of Artificial Intelligence, Nanjing University of Information Science & Technology, Nanjing 210044, China"},{"name":"School of Electronic and Information Engineering, Nanjing University of Information Science & Technology, Nanjing 210044, China"}]},{"given":"Yongxin","family":"Li","sequence":"additional","affiliation":[{"name":"School of Artificial Intelligence, Nanjing University of Information Science & Technology, Nanjing 210044, China"},{"name":"School of Electronic and Information Engineering, Nanjing University of Information Science & Technology, Nanjing 210044, China"}]},{"given":"Chuang","family":"Zhang","sequence":"additional","affiliation":[{"name":"School of Artificial Intelligence, Nanjing University of Information Science & Technology, Nanjing 210044, China"},{"name":"School of Electronic and Information Engineering, Nanjing University of Information Science & Technology, Nanjing 210044, China"}]},{"given":"Changyuan","family":"Tao","sequence":"additional","affiliation":[{"name":"School of Chemistry and Chemical Engineering, Chongqing University, Chongqing 404100, China"}]}],"member":"1968","published-online":{"date-parts":[[2023,3,13]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","unstructured":"Sheng, S., Wen, H., Xie, G., and Li, Y. 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