{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,13]],"date-time":"2026-03-13T06:22:49Z","timestamp":1773382969877,"version":"3.50.1"},"reference-count":0,"publisher":"World Scientific Pub Co Pte Lt","issue":"02","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["J. Knot Theory Ramifications"],"published-print":{"date-parts":[[1998,3]]},"abstract":"<jats:p> The main purpose of this paper is to prove that Bott integrable Hamiltonian flows and non-singular Morse-Smale flows are closely related. As a consequence, we obtain a classification of the knots and links formed by periodic orbits of Bott integrable Hamiltonians on the 3-sphere and on the solid torus. We also show that most of Fomenko's theory on the topology of the energy levels of Bott integrable Hamiltonians can be derived from Morgan's results on 3-manifolds that admit non-singular Morse-Smale flows. <\/jats:p>","DOI":"10.1142\/s0218216598000097","type":"journal-article","created":{"date-parts":[[2003,5,30]],"date-time":"2003-05-30T07:35:31Z","timestamp":1054280131000},"page":"123-153","source":"Crossref","is-referenced-by-count":5,"title":["KNOTS AND LINKS IN INTEGRABLE HAMILTONIAN SYSTEMS"],"prefix":"10.1142","volume":"07","author":[{"given":"J.","family":"CASASAYAS","sequence":"first","affiliation":[{"name":"Dept. Matem\u00e0tica Aplicada i An\u00e0lisi, Universitat de Barcelona, Gran Via 585, 08071 Barcelona, Spain"}]},{"given":"J. MARTINEZ","family":"ALFARO","sequence":"additional","affiliation":[{"name":"Dept. Matem\u00e0tica Aplicada i Astronomia, Universitat de Val\u00e8ncia, 46100 Burjassot, Val\u00e8ncia, Spain"}]},{"given":"A.","family":"NUNES","sequence":"additional","affiliation":[{"name":"CMAF\/Dept. F\u00edsica Universidade de Lisboa, Campo Grande, C1, 1700 Lisboa, Portugal"}]}],"member":"219","published-online":{"date-parts":[[2011,11,21]]},"container-title":["Journal of Knot Theory and Its Ramifications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218216598000097","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,7]],"date-time":"2019-08-07T17:54:04Z","timestamp":1565200444000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218216598000097"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1998,3]]},"references-count":0,"journal-issue":{"issue":"02","published-online":{"date-parts":[[2011,11,21]]},"published-print":{"date-parts":[[1998,3]]}},"alternative-id":["10.1142\/S0218216598000097"],"URL":"https:\/\/doi.org\/10.1142\/s0218216598000097","relation":{},"ISSN":["0218-2165","1793-6527"],"issn-type":[{"value":"0218-2165","type":"print"},{"value":"1793-6527","type":"electronic"}],"subject":[],"published":{"date-parts":[[1998,3]]}}}