{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,4,3]],"date-time":"2022-04-03T07:48:01Z","timestamp":1648972081274},"reference-count":21,"publisher":"World Scientific Pub Co Pte Lt","issue":"05","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2015,5]]},"abstract":"<jats:p>This paper focuses on bifurcation of critical periods by perturbing a rigidly isochronous center with multiple parameters. First, we give expressions of period bifurcation functions (PBF for short) in the form of integrals, and then study the first PBF T<jats:sub>1<\/jats:sub>(\u03c1, \u03bb) with a new method. Compared with the result in [Liu &amp; Han, 2014], more critical periods can be found by our method.<\/jats:p>","DOI":"10.1142\/s0218127415500704","type":"journal-article","created":{"date-parts":[[2015,5,22]],"date-time":"2015-05-22T06:53:12Z","timestamp":1432277592000},"page":"1550070","source":"Crossref","is-referenced-by-count":1,"title":["Critical Period Bifurcation by Perturbing a Reversible Rigidly Isochronous Center with Multiple Parameters"],"prefix":"10.1142","volume":"25","author":[{"given":"Na","family":"Li","sequence":"first","affiliation":[{"name":"Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China"},{"name":"College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Maoan","family":"Han","sequence":"additional","affiliation":[{"name":"Department of Mathematics, Shanghai Normal University, Shanghai 200234, P. R. China"},{"name":"College of Fundamental Studies, Shanghai University of Engineering Science, Shanghai 201620, P. R. China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2015,5,21]]},"reference":[{"key":"rf1","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2004.08.007"},{"key":"rf2","doi-asserted-by":"publisher","DOI":"10.1007\/BF02969404"},{"key":"rf3","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2011.05.022"},{"key":"rf4","doi-asserted-by":"publisher","DOI":"10.1016\/0022-0396(87)90122-7"},{"key":"rf5","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9947-1989-0930075-2"},{"key":"rf6","doi-asserted-by":"publisher","DOI":"10.1016\/0362-546X(93)90136-G"},{"key":"rf7","doi-asserted-by":"crossref","first-page":"14","DOI":"10.21136\/CPM.1986.118260","volume":"111","author":"Chow S. N.","year":"1986","journal-title":"Casopis Pest. Mat."},{"key":"rf8","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2007.07.031"},{"key":"rf9","doi-asserted-by":"publisher","DOI":"10.1007\/BF02969341"},{"key":"rf10","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2007.09.009"},{"key":"rf11","doi-asserted-by":"publisher","DOI":"10.1016\/j.bulsci.2007.06.001"},{"key":"rf12","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2011.08.032"},{"key":"rf13","volume-title":"Bifurcation Theory of Limit Cycles","author":"Han M.","year":"2013"},{"key":"rf14","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2013.09.025"},{"key":"rf15","first-page":"1991","volume":"4","author":"Pleshkan I. I.","year":"1968","journal-title":"Diff. Eqs."},{"key":"rf16","doi-asserted-by":"publisher","DOI":"10.1088\/0305-4470\/36\/18\/306"},{"key":"rf17","volume-title":"The Center and Cyclicity Problems: A Computational Algebra Approach","author":"Romanovski V. G.","year":"2009"},{"key":"rf18","doi-asserted-by":"publisher","DOI":"10.1134\/S0361768813020072"},{"key":"rf19","doi-asserted-by":"publisher","DOI":"10.1016\/0022-247X(86)90076-4"},{"key":"rf20","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2009.10.054"},{"key":"rf21","first-page":"481501","volume":"2013","author":"Zhou J.","year":"2013","journal-title":"Abstr. Appl. Anal."}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127415500704","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,9,2]],"date-time":"2020-09-02T13:11:47Z","timestamp":1599052307000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127415500704"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,5]]},"references-count":21,"journal-issue":{"issue":"05","published-online":{"date-parts":[[2015,5,21]]},"published-print":{"date-parts":[[2015,5]]}},"alternative-id":["10.1142\/S0218127415500704"],"URL":"https:\/\/doi.org\/10.1142\/s0218127415500704","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,5]]}}}