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First, we present a method that enables us to apply the classical algorithm for the construction of PODS [ Pechukas &amp; McLafferty ,\u00a0 1973 ;\u00a0 Pechukas ,\u00a0 1981 ;\u00a0 Pollak &amp; Pechukas ,\u00a0 1978 ;\u00a0 Pollak ,\u00a0 1985 ] in rotating Hamiltonian systems with two degrees of freedom. Then we study the structure of these surfaces in a rotating quadratic normal-form Hamiltonian system with two degrees of freedom. <\/jats:p>","DOI":"10.1142\/s021812742450130x","type":"journal-article","created":{"date-parts":[[2024,7,20]],"date-time":"2024-07-20T04:36:33Z","timestamp":1721450193000},"source":"Crossref","is-referenced-by-count":3,"title":["Periodic Orbit-Dividing Surfaces in Rotating Hamiltonian Systems with Two Degrees of Freedom"],"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":[[2024,7,19]]},"reference":[{"key":"S021812742450130XBIB001","author":"Agaoglou M.","year":"2019","journal-title":"Zenodo"},{"key":"S021812742450130XBIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.cplett.2020.137610"},{"key":"S021812742450130XBIB003","doi-asserted-by":"publisher","DOI":"10.1039\/tf9353100875"},{"key":"S021812742450130XBIB004","doi-asserted-by":"publisher","DOI":"10.1063\/1.1749604"},{"key":"S021812742450130XBIB005","doi-asserted-by":"publisher","DOI":"10.1021\/acs.jpca.8b07205"},{"key":"S021812742450130XBIB006","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127421300342"},{"key":"S021812742450130XBIB007","doi-asserted-by":"publisher","DOI":"10.1016\/j.cplett.2021.138397"},{"key":"S021812742450130XBIB008","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/47\/4\/045101"},{"key":"S021812742450130XBIB009","doi-asserted-by":"publisher","DOI":"10.1088\/1751-8113\/48\/43\/435101"},{"key":"S021812742450130XBIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2022.133330"},{"key":"S021812742450130XBIB011","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevA.60.3833"},{"key":"S021812742450130XBIB012","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127411029811"},{"key":"S021812742450130XBIB013","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127411029823"},{"key":"S021812742450130XBIB014","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127418300422"},{"key":"S021812742450130XBIB015","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127419500573"},{"key":"S021812742450130XBIB016","doi-asserted-by":"publisher","DOI":"10.1103\/PhysRevE.102.012215"},{"key":"S021812742450130XBIB017","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127420300268"},{"key":"S021812742450130XBIB018","doi-asserted-by":"publisher","DOI":"10.1142\/S021812742130041X"},{"key":"S021812742450130XBIB019","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127421300287"},{"key":"S021812742450130XBIB020","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127421501881"},{"key":"S021812742450130XBIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.physd.2022.133293"},{"key":"S021812742450130XBIB022","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127422300154"},{"key":"S021812742450130XBIB023","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127422300233"},{"key":"S021812742450130XBIB024","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127422300300"},{"key":"S021812742450130XBIB025","doi-asserted-by":"publisher","DOI":"10.1016\/j.cplett.2022.140208"},{"key":"S021812742450130XBIB026","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127423500888"},{"key":"S021812742450130XBIB027","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127423300203"},{"key":"S021812742450130XBIB028","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127424300027"},{"key":"S021812742450130XBIB029","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127424300040"},{"key":"S021812742450130XBIB030","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127424300052"},{"key":"S021812742450130XBIB031","first-page":"79","volume":"123","author":"Komatsuzaki T.","year":"2003","journal-title":"Adv. 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