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Several variations of these diagrams can be generated, by changing the colormap scaling, or by computing the statistical distribution of the time series locally or globally. These variations are also discussed. Numerical examples are provided for three chaotic systems. Moreover, MATLAB and Python codes are provided for generating the diagrams.<\/jats:p>","DOI":"10.1142\/s0218127425300289","type":"journal-article","created":{"date-parts":[[2025,8,22]],"date-time":"2025-08-22T08:00:50Z","timestamp":1755849650000},"source":"Crossref","is-referenced-by-count":7,"title":["Continuous-Time Density-Colored Bifurcation Diagrams"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-5652-2532","authenticated-orcid":false,"given":"Lazaros","family":"Moysis","sequence":"first","affiliation":[{"name":"Department of Electrical and Computer Engineering, University of Western Macedonia, Kozani 50100, Greece"},{"name":"Department of Mechanical Engineering, University of Western Macedonia, Kozani 50100, Greece"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0235-0878","authenticated-orcid":false,"given":"Marcin","family":"Lawnik","sequence":"additional","affiliation":[{"name":"Department of Mathematical Methods in Technics and Informatics, Faculty of Applied Mathematics, Silesian University of Technology, Kaszubska 23, Gliwice 44-100, Poland"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-8961-7423","authenticated-orcid":false,"given":"George F.","family":"Fragulis","sequence":"additional","affiliation":[{"name":"Department of Electrical and Computer Engineering, University of Western Macedonia, Kozani 50100, Greece"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-8763-7255","authenticated-orcid":false,"given":"Christos","family":"Volos","sequence":"additional","affiliation":[{"name":"Laboratory of Nonlinear Systems \u2014 Circuits & Complexity, Physics Department, Aristotle University of Thessaloniki, 54124 Thessaloniki, Greece"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"219","published-online":{"date-parts":[[2025,8,21]]},"reference":[{"key":"S0218127425300289BIB001","doi-asserted-by":"publisher","DOI":"10.51537\/chaos.1202558"},{"key":"S0218127425300289BIB002","doi-asserted-by":"publisher","DOI":"10.1201\/9781420011043"},{"key":"S0218127425300289BIB003","doi-asserted-by":"publisher","DOI":"10.51537\/chaos.1500547"},{"key":"S0218127425300289BIB004","doi-asserted-by":"publisher","DOI":"10.3390\/sym13112151"},{"key":"S0218127425300289BIB005","doi-asserted-by":"publisher","DOI":"10.1142\/S021812742450144X"},{"key":"S0218127425300289BIB007","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127421500115"},{"key":"S0218127425300289BIB008","doi-asserted-by":"publisher","DOI":"10.1109\/ElConRus51938.2021.9396657"},{"key":"S0218127425300289BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.chaos.2024.115412"},{"key":"S0218127425300289BIB010","doi-asserted-by":"publisher","DOI":"10.3390\/fractalfract8060344"},{"key":"S0218127425300289BIB011","doi-asserted-by":"publisher","DOI":"10.1142\/S0129183119500335"},{"key":"S0218127425300289BIB014","doi-asserted-by":"publisher","DOI":"10.3390\/technologies7040076"},{"key":"S0218127425300289BIB015","doi-asserted-by":"publisher","DOI":"10.1007\/s40435-020-00712-0"},{"key":"S0218127425300289BIB016","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127423300367"},{"key":"S0218127425300289BIB017","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127403008387"},{"key":"S0218127425300289BIB018","doi-asserted-by":"publisher","DOI":"10.1016\/0375-9601(76)90101-8"},{"key":"S0218127425300289BIB019","doi-asserted-by":"publisher","DOI":"10.3390\/app13020936"},{"key":"S0218127425300289BIB020","doi-asserted-by":"publisher","DOI":"10.1201\/9780429398490"},{"key":"S0218127425300289BIB022","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2013.08.017"},{"key":"S0218127425300289BIB023","doi-asserted-by":"publisher","DOI":"10.1016\/j.amc.2022.126986"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127425300289","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,10,10]],"date-time":"2025-10-10T02:26:18Z","timestamp":1760063178000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218127425300289"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,8,21]]},"references-count":19,"journal-issue":{"issue":"13","published-print":{"date-parts":[[2025,10]]}},"alternative-id":["10.1142\/S0218127425300289"],"URL":"https:\/\/doi.org\/10.1142\/s0218127425300289","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,8,21]]},"article-number":"2530028"}}