Extremely hidden multi-stability in a class of two-dimensional maps with a cosine memristor
dc.contributor.author | Zhang, L-P | |
dc.contributor.author | Liu, Y | |
dc.contributor.author | Wei, Z-C | |
dc.contributor.author | Jiang, H-B | |
dc.contributor.author | Lyu, W-P | |
dc.contributor.author | Bi, Q-S | |
dc.date.accessioned | 2022-05-24T10:26:59Z | |
dc.date.issued | 2022-05-24 | |
dc.date.updated | 2022-05-24T09:08:19Z | |
dc.description.abstract | In this work, we present a class of two-dimensional memristive maps with a cosine memristor. The memristive maps do not have any fixed points, so they belong to the category of nonlinear maps with hidden attractors. The rich dynamical behaviors of these maps are demonstrated and investigated using different numerical tools, including phase portrait, basins of attraction, bifurcation diagram, and Lyapunov exponents. The two-parameter bifurcation analysis of the memristive map has been carried out to reveal the bifurcation mechanism of the dynamical behaviors. Based on our extensive simulation studies, the proposed memristive maps can produce hidden periodic, chaotic, and hyper-chaotic attractors. They can exhibit extremely hidden multi-stability, namely the coexistence of infinite hidden attractors, rarely shown in memristive maps. Potentially, this work can be used for secure communication, such as data and image encryption. | en_GB |
dc.description.sponsorship | National Natural Science Foundation of China | en_GB |
dc.identifier.citation | Published online 24 May 2022 | en_GB |
dc.identifier.doi | https://doi.org/10.1088/1674-1056/ac7294 | |
dc.identifier.grantnumber | 11972173 | en_GB |
dc.identifier.grantnumber | 12172340 | en_GB |
dc.identifier.uri | http://hdl.handle.net/10871/129712 | |
dc.identifier | ORCID: 0000-0003-3867-5137 (Liu, Yang) | |
dc.identifier | ScopusID: 55199382800 (Liu, Yang) | |
dc.identifier | ResearcherID: ABD-4124-2021 | K-1976-2015 (Liu, Yang) | |
dc.language.iso | en | en_GB |
dc.publisher | IOP Publishing | en_GB |
dc.rights.embargoreason | Under embargo until 24 May 2023 in compliance with publisher policy | en_GB |
dc.rights | © 2022 Chinese Physical Society and IOP Publishing Ltd. This version is made available under the CC-BY-NC-ND 3.0 license: https://creativecommons.org/licences/by-nc-nd/3.0 | en_GB |
dc.subject | two-dimensional maps | en_GB |
dc.subject | memristive maps | en_GB |
dc.subject | hidden attractors | en_GB |
dc.subject | bifurcation analysis | en_GB |
dc.subject | extremely hidden multi-stability | en_GB |
dc.title | Extremely hidden multi-stability in a class of two-dimensional maps with a cosine memristor | en_GB |
dc.type | Article | en_GB |
dc.date.available | 2022-05-24T10:26:59Z | |
dc.identifier.issn | 1674-1056 | |
dc.description | This is the author accepted manuscript. The final version is available from IOP Publishing via the DOI in this record | en_GB |
dc.identifier.journal | Chinese Physics B | en_GB |
dc.relation.ispartof | Chinese Physics B | |
dc.rights.uri | https://creativecommons.org/licences/by-nc-nd/3.0 | en_GB |
dcterms.dateAccepted | 2022-05-24 | |
rioxxterms.version | AM | en_GB |
rioxxterms.licenseref.startdate | 2022-05-24 | |
rioxxterms.type | Journal Article/Review | en_GB |
refterms.dateFCD | 2022-05-24T10:21:55Z | |
refterms.versionFCD | AM | |
refterms.panel | B | en_GB |
refterms.dateFirstOnline | 2022-05-24 |
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Except where otherwise noted, this item's licence is described as © 2022 Chinese Physical Society and IOP Publishing Ltd. This version is made available under the CC-BY-NC-ND 3.0 license: https://creativecommons.org/licences/by-nc-nd/3.0