{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,3,30]],"date-time":"2022-03-30T19:13:19Z","timestamp":1648667599046},"reference-count":5,"publisher":"World Scientific Pub Co Pte Lt","issue":"11","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2012,11]]},"abstract":"<jats:p> This paper considers a three-dimensional linear nonautonomous systems. It shows that for every integer frequency parameter value, this system has a distinct type of knotted periodic solutions, which lie in a bounded region of R<jats:sup>3<\/jats:sup>. Exact explicit parametric representations of the knotted periodic solutions are given. By using these parametric representations, two series of three-dimensional flows are constructed, such that these three-dimensional autonomous systems have knotted periodic orbits in the three-dimensional phase space. <\/jats:p>","DOI":"10.1142\/s021812741250280x","type":"journal-article","created":{"date-parts":[[2012,12,13]],"date-time":"2012-12-13T04:14:17Z","timestamp":1355372057000},"page":"1250280","source":"Crossref","is-referenced-by-count":0,"title":["KNOTTED PERIODIC SOLUTIONS OF A LINEAR NONAUTONOMOUS SYSTEM AND SOME RELATED THREE-DIMENSIONAL FLOWS"],"prefix":"10.1142","volume":"22","author":[{"given":"JIBIN","family":"LI","sequence":"first","affiliation":[{"name":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"XIAOHUA","family":"ZHAO","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang 321004, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2012,12,13]]},"reference":[{"key":"rf1","volume-title":"Knots","author":"Burde G.","year":"1986"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1006\/aama.1993.1015"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1142\/9789812384836"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127411029896"},{"key":"rf5","volume-title":"Knotenthorie","author":"Reidemeister K.","year":"1948"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S021812741250280X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,6]],"date-time":"2019-08-06T14:50:21Z","timestamp":1565103021000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S021812741250280X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2012,11]]},"references-count":5,"journal-issue":{"issue":"11","published-online":{"date-parts":[[2012,12,13]]},"published-print":{"date-parts":[[2012,11]]}},"alternative-id":["10.1142\/S021812741250280X"],"URL":"https:\/\/doi.org\/10.1142\/s021812741250280x","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2012,11]]}}}