{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,30]],"date-time":"2026-03-30T13:37:17Z","timestamp":1774877837687,"version":"3.50.1"},"reference-count":48,"publisher":"World Scientific Pub Co Pte Ltd","issue":"12","funder":[{"DOI":"10.13039\/501100000266","name":"EPSRC","doi-asserted-by":"crossref","award":["EP\/P021123\/1"],"award-info":[{"award-number":["EP\/P021123\/1"]}],"id":[{"id":"10.13039\/501100000266","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2024,9,30]]},"abstract":"<jats:p> This paper expands the concept of periodic orbit dividing surfaces within rotating Hamiltonian systems possessing three degrees of freedom. Initially, we detail the implementation of our second method for constructing these surfaces, as outlined in [ Katsanikas &amp; Wiggins ,\u00a0 2021b ,\u00a0 2023b ], for such systems. Subsequently, we analyze the configuration of these surfaces within a rotating quadratic normal-form Hamiltonian system characterized by three degrees of freedom. <\/jats:p>","DOI":"10.1142\/s0218127424300258","type":"journal-article","created":{"date-parts":[[2024,8,30]],"date-time":"2024-08-30T13:34:01Z","timestamp":1725024841000},"source":"Crossref","is-referenced-by-count":1,"title":["Periodic Orbit Dividing Surfaces in Rotating Hamiltonian Systems with Three Degrees of Freedom\u00a0\u2013\u00a0II"],"prefix":"10.1142","volume":"34","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-1098-458X","authenticated-orcid":false,"given":"Matthaios","family":"Katsanikas","sequence":"first","affiliation":[{"name":"Research Center for Astronomy and Applied Mathematics, Academy of Athens, Soranou Efesiou 4, Athens GR-11527, Greece"},{"name":"School of Mathematics, University of Bristol, Fry Building, Woodland Road, Bristol BS8 1UG, UK"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0780-0911","authenticated-orcid":false,"given":"Stephen","family":"Wiggins","sequence":"additional","affiliation":[{"name":"School of Mathematics, University of Bristol, Fry Building, Woodland Road, Bristol BS8 1UG, UK"},{"name":"Department of Mathematics, United States Naval Academy, Chauvenet Hall, 572C Holloway Road, Annapolis, MD 21402-5002, USA"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2024,8,29]]},"reference":[{"key":"S0218127424300258BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.cplett.2020.137610"},{"key":"S0218127424300258BIB002","doi-asserted-by":"publisher","DOI":"10.1039\/tf9353100875"},{"key":"S0218127424300258BIB003","doi-asserted-by":"publisher","DOI":"10.1063\/1.1749604"},{"key":"S0218127424300258BIB004","doi-asserted-by":"publisher","DOI":"10.1021\/acs.jpca.8b07205"},{"key":"S0218127424300258BIB005","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127421300342"},{"key":"S0218127424300258BIB006","doi-asserted-by":"publisher","DOI":"10.1016\/j.cplett.2021.138397"},{"key":"S0218127424300258BIB007","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/47\/4\/045101"},{"key":"S0218127424300258BIB008","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/48\/43\/435101"},{"key":"S0218127424300258BIB009","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2022.133330"},{"key":"S0218127424300258BIB010","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127411029811"},{"key":"S0218127424300258BIB011","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127411029823"},{"key":"S0218127424300258BIB012","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127418300422"},{"key":"S0218127424300258BIB013","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127419500573"},{"key":"S0218127424300258BIB014","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.102.012215"},{"key":"S0218127424300258BIB015","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127420300268"},{"key":"S0218127424300258BIB016","doi-asserted-by":"publisher","DOI":"10.1142\/S021812742130041X"},{"key":"S0218127424300258BIB017","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127421300287"},{"key":"S0218127424300258BIB018","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127421501881"},{"key":"S0218127424300258BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2022.133293"},{"key":"S0218127424300258BIB020","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127422300154"},{"key":"S0218127424300258BIB021","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127422300233"},{"key":"S0218127424300258BIB022","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127422300300"},{"key":"S0218127424300258BIB023","doi-asserted-by":"publisher","DOI":"10.1016\/j.cplett.2022.140208"},{"key":"S0218127424300258BIB024","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127423500888"},{"key":"S0218127424300258BIB025","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127423300203"},{"key":"S0218127424300258BIB026","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127424300027"},{"key":"S0218127424300258BIB027","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127424300040"},{"key":"S0218127424300258BIB028","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127424300052"},{"key":"S0218127424300258BIB029","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127424501438"},{"key":"S0218127424300258BIB030","doi-asserted-by":"publisher","DOI":"10.1142\/S021812742450130X"},{"key":"S0218127424300258BIB031","first-page":"79","volume":"123","author":"Komatsuzaki T.","year":"2003","journal-title":"Adv. Chem. Phys."},{"key":"S0218127424300258BIB032","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevD.94.024024"},{"key":"S0218127424300258BIB033","doi-asserted-by":"publisher","DOI":"10.1063\/1.1679404"},{"key":"S0218127424300258BIB034","doi-asserted-by":"publisher","DOI":"10.1063\/1.438575"},{"key":"S0218127424300258BIB035","doi-asserted-by":"publisher","DOI":"10.1146\/annurev.pc.32.100181.001111"},{"key":"S0218127424300258BIB036","doi-asserted-by":"publisher","DOI":"10.1515\/zpch-1932-1539"},{"key":"S0218127424300258BIB037","doi-asserted-by":"publisher","DOI":"10.1063\/1.436658"},{"key":"S0218127424300258BIB038","first-page":"123","volume-title":"Theory of Chemical Reaction Dynamics","volume":"3","author":"Pollak E.","year":"1985"},{"key":"S0218127424300258BIB039","doi-asserted-by":"publisher","DOI":"10.1016\/j.cnsns.2021.106053"},{"key":"S0218127424300258BIB040","first-page":"153","volume":"123","author":"Toda M.","year":"2003","journal-title":"Adv. Chem. Phys."},{"key":"S0218127424300258BIB041","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/15\/4\/301"},{"key":"S0218127424300258BIB042","doi-asserted-by":"publisher","DOI":"10.1088\/0951-7715\/21\/1\/R01"},{"key":"S0218127424300258BIB043","doi-asserted-by":"publisher","DOI":"10.1007\/978-1-4612-4312-0"},{"key":"S0218127424300258BIB044","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevLett.86.5478"},{"key":"S0218127424300258BIB045","doi-asserted-by":"publisher","DOI":"10.1134\/S1560354716060034"},{"key":"S0218127424300258BIB046","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.108.014206"},{"key":"S0218127424300258BIB047","doi-asserted-by":"publisher","DOI":"10.1039\/tf9383400029"},{"key":"S0218127424300258BIB048","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127413300231"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127424300258","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2024,10,10]],"date-time":"2024-10-10T12:01:56Z","timestamp":1728561716000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/10.1142\/S0218127424300258"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2024,8,29]]},"references-count":48,"journal-issue":{"issue":"12","published-print":{"date-parts":[[2024,9,30]]}},"alternative-id":["10.1142\/S0218127424300258"],"URL":"https:\/\/doi.org\/10.1142\/s0218127424300258","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2024,8,29]]},"article-number":"2430025"}}