{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:44:08Z","timestamp":1753886648694,"version":"3.41.2"},"reference-count":19,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2012,5,8]],"date-time":"2012-05-08T00:00:00Z","timestamp":1336435200000},"content-version":"vor","delay-in-days":128,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11101127","1110112"],"award-info":[{"award-number":["11101127","1110112"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"publisher","award":["11101127","1110112"],"award-info":[{"award-number":["11101127","1110112"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["Journal of Applied Mathematics"],"published-print":{"date-parts":[[2012,1]]},"abstract":"<jats:p>The linearizability (or isochronicity) problem is one of the open problems for polynomial differential systems which is far to be solved in general. A progressive way\nto find necessary conditions for linearizability is to compute period constants. In this\npaper, we are interested in the linearizability problem of <jats:italic>p<\/jats:italic>\u2009:\u2009\u2212<jats:italic>q<\/jats:italic> resonant degenerate\nsingular point for polynomial differential systems. Firstly, we transform degenerate\nsingular point into the origin via a homeomorphism. Moreover, we establish a new recursive algorithm to compute the so\u2010called generalized period constants for the origin\nof the transformed system. Finally, to illustrate the effectiveness of our algorithm, we\ndiscuss the linearizability problems of 1\u2009:\u2009\u22121 resonant degenerate singular point for a\nseptic system. We stress that similar results are hardly seen in published literatures\nup till now. Our work is completely new and extends existing ones.<\/jats:p>","DOI":"10.1155\/2012\/383282","type":"journal-article","created":{"date-parts":[[2012,5,8]],"date-time":"2012-05-08T21:04:14Z","timestamp":1336511054000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["Linearizability Problem of Resonant Degenerate Singular Point for Polynomial Differential Systems"],"prefix":"10.1155","volume":"2012","author":[{"given":"Yusen","family":"Wu","sequence":"first","affiliation":[]},{"given":"Cui","family":"Zhang","sequence":"additional","affiliation":[]},{"given":"Luju","family":"Liu","sequence":"additional","affiliation":[]}],"member":"311","published-online":{"date-parts":[[2012,5,8]]},"reference":[{"key":"e_1_2_7_1_2","first-page":"490","article-title":"The normal form of a planar autonomous system and critical points of the period of closed orbits","volume":"34","author":"Lin Y. 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