{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,28]],"date-time":"2026-03-28T17:07:56Z","timestamp":1774717676497,"version":"3.50.1"},"reference-count":36,"publisher":"MDPI AG","issue":"2","license":[{"start":{"date-parts":[[2023,2,10]],"date-time":"2023-02-10T00:00:00Z","timestamp":1675987200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/creativecommons.org\/licenses\/by\/4.0\/"}],"funder":[{"name":"Bulgarian National Science Fund","award":["\u041a\u041f-06-H 22-2"],"award-info":[{"award-number":["\u041a\u041f-06-H 22-2"]}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Axioms"],"abstract":"<jats:p>This paper discusses the analysis and computations of chaos\u2013hyperchaos (or vice versa) transition in R\u00f6ssler\u2013Nikolov\u2013Clodong O (RNC-O) hyperchaotic system. Our work is motivated by our previous analysis of hyperchaotic transitional regimes of RNC-O system and the results recently obtained from another researchers. The analysis and numerical simulations show that chaos\u2013hyperchaos transition in RNC-O system is coupled to change in the equilibria type as one large hyperchaotic attractor occurs. Moreover, we show that for this system, a zero-Hopf bifurcation is not possible. We also consider the cases when the divergence of the system is a constant and detected two families of exact solutions.<\/jats:p>","DOI":"10.3390\/axioms12020185","type":"journal-article","created":{"date-parts":[[2023,2,10]],"date-time":"2023-02-10T03:52:49Z","timestamp":1676001169000},"page":"185","update-policy":"https:\/\/doi.org\/10.3390\/mdpi_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Complex Dynamics of R\u00f6ssler\u2013Nikolov\u2013Clodong O Hyperchaotic System: Analysis and Computations"],"prefix":"10.3390","volume":"12","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-6147-1354","authenticated-orcid":false,"given":"Svetoslav G.","family":"Nikolov","sequence":"first","affiliation":[{"name":"Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 4, 1113 Sofia, Bulgaria"},{"name":"Department of Mechanics, University of Transport, Geo Milev Str., 158, 1574 Sofia, Bulgaria"}],"role":[{"role":"author","vocab":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0831-9396","authenticated-orcid":false,"given":"Vassil M.","family":"Vassilev","sequence":"additional","affiliation":[{"name":"Institute of Mechanics, Bulgarian Academy of Sciences, Acad. G. Bonchev Str., Bl. 4, 1113 Sofia, Bulgaria"}],"role":[{"role":"author","vocab":"crossref"}]}],"member":"1968","published-online":{"date-parts":[[2023,2,10]]},"reference":[{"key":"ref_1","doi-asserted-by":"crossref","first-page":"1936","DOI":"10.4249\/scholarpedia.1936","article-title":"Hyperchaos","volume":"2","author":"Letellier","year":"2007","journal-title":"Scholarpedia"},{"key":"ref_2","doi-asserted-by":"crossref","first-page":"407","DOI":"10.1016\/j.chaos.2004.02.030","article-title":"Occurrence of regular, chaotic and hyperchaotic behavior in a family of modified Rossler hyperchaotic systems","volume":"22","author":"Nikolov","year":"2004","journal-title":"Chaos Solitons Fractals"},{"key":"ref_3","first-page":"17","article-title":"Estimating of bifurcations and chaotic behavior in a four-dimensional system","volume":"2","author":"Nikolov","year":"2006","journal-title":"J. Calcutta Math. Soc."},{"key":"ref_4","unstructured":"Panchev, S. (2001). Theory of Chaos, Bulgarian Acad. 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