{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2022,10,15]],"date-time":"2022-10-15T07:27:15Z","timestamp":1665818835288},"reference-count":23,"publisher":"World Scientific Pub Co Pte Lt","issue":"04","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Int. J. Bifurcation Chaos"],"published-print":{"date-parts":[[2017,4]]},"abstract":"<jats:p>In this paper, we study the number of bifurcated limit cycles from near-Hamiltonian systems where the corresponding Hamiltonian system has a double homoclinic loop passing through a hyperbolic saddle surrounded by a heteroclinic loop with a hyperbolic saddle and a nilpotent saddle, and obtain some new results on the lower bound of the maximal number of limit cycles for these systems. In particular, we study the bifurcation of limit cycles of the following system [Formula: see text] as an application of our results, where [Formula: see text] is a polynomial of degree five.<\/jats:p>","DOI":"10.1142\/s0218127417500559","type":"journal-article","created":{"date-parts":[[2017,5,8]],"date-time":"2017-05-08T09:30:57Z","timestamp":1494235857000},"page":"1750055","source":"Crossref","is-referenced-by-count":3,"title":["On the Number of Limit Cycles Bifurcated from Some Hamiltonian Systems with a Double Homoclinic Loop and a Heteroclinic Loop"],"prefix":"10.1142","volume":"27","author":[{"given":"Pegah","family":"Moghimi","sequence":"first","affiliation":[{"name":"Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran"}]},{"given":"Rasoul","family":"Asheghi","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, Isfahan University of Technology, Isfahan 84156-83111, Iran"}]},{"given":"Rasool","family":"Kazemi","sequence":"additional","affiliation":[{"name":"Department of Mathematical Sciences, University of Kashan, Kashan 87317-53153, Iran"}]}],"member":"219","published-online":{"date-parts":[[2017,5,8]]},"reference":[{"key":"S0218127417500559BIB001","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-11832-0"},{"key":"S0218127417500559BIB002","doi-asserted-by":"publisher","DOI":"10.24033\/bsmf.1031"},{"key":"S0218127417500559BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2005.08.015"},{"key":"S0218127417500559BIB004","volume-title":"Actualit\u00e9s Math.","author":"\u00c9calle J.","year":"1992"},{"key":"S0218127417500559BIB005","doi-asserted-by":"publisher","DOI":"10.1006\/jmaa.2000.6758"},{"key":"S0218127417500559BIB006","first-page":"401","volume":"30","author":"Han M.","year":"2000","journal-title":"Sci. China Ser. A"},{"key":"S0218127417500559BIB007","doi-asserted-by":"crossref","first-page":"67","DOI":"10.3934\/mbe.2006.3.67","volume":"3","author":"Han M.","year":"2006","journal-title":"Math. Biosci. Eng."},{"key":"S0218127417500559BIB008","doi-asserted-by":"publisher","DOI":"10.1007\/s10884-008-9108-3"},{"key":"S0218127417500559BIB009","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127409025250"},{"key":"S0218127417500559BIB010","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2008.06.039"},{"key":"S0218127417500559BIB011","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2011.11.024"},{"key":"S0218127417500559BIB012","doi-asserted-by":"publisher","DOI":"10.1142\/S0218127412501891"},{"key":"S0218127417500559BIB013","first-page":"809","volume":"5","author":"Han M.","year":"2015","journal-title":"J. Appl. Anal. Comput."},{"key":"S0218127417500559BIB014","doi-asserted-by":"publisher","DOI":"10.1090\/S0002-9904-1902-00923-3"},{"key":"S0218127417500559BIB015","first-page":"1","volume":"35","author":"Hou Y.","year":"2006","journal-title":"J. Shanghai Normal Univ. Nat. Sci."},{"key":"S0218127417500559BIB017","doi-asserted-by":"publisher","DOI":"10.1142\/S0252959999000266"},{"key":"S0218127417500559BIB018","first-page":"395","volume":"2","author":"Kazemi R.","year":"2012","journal-title":"J. Appl. Anal. Comput."},{"key":"S0218127417500559BIB019","doi-asserted-by":"publisher","DOI":"10.1016\/j.na.2011.08.060"},{"key":"S0218127417500559BIB020","doi-asserted-by":"publisher","DOI":"10.1007\/BF02584827"},{"key":"S0218127417500559BIB021","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2016.11.026"},{"key":"S0218127417500559BIB022","doi-asserted-by":"publisher","DOI":"10.1007\/BF01077820"},{"key":"S0218127417500559BIB023","first-page":"536","volume":"23","author":"Yang J.","year":"2007","journal-title":"Ann. Diff. Eqs."},{"key":"S0218127417500559BIB024","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2008.04.018"}],"container-title":["International Journal of Bifurcation and Chaos"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/www.worldscientific.com\/doi\/pdf\/10.1142\/S0218127417500559","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,10,7]],"date-time":"2020-10-07T03:13:21Z","timestamp":1602040401000},"score":1,"resource":{"primary":{"URL":"https:\/\/www.worldscientific.com\/doi\/abs\/10.1142\/S0218127417500559"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,4]]},"references-count":23,"journal-issue":{"issue":"04","published-online":{"date-parts":[[2017,5,8]]},"published-print":{"date-parts":[[2017,4]]}},"alternative-id":["10.1142\/S0218127417500559"],"URL":"https:\/\/doi.org\/10.1142\/s0218127417500559","relation":{},"ISSN":["0218-1274","1793-6551"],"issn-type":[{"value":"0218-1274","type":"print"},{"value":"1793-6551","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,4]]}}}