{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T04:56:27Z","timestamp":1760244987082,"version":"build-2065373602"},"reference-count":9,"publisher":"Elsevier BV","issue":"2","license":[{"start":{"date-parts":[[2001,2,1]],"date-time":"2001-02-01T00:00:00Z","timestamp":980985600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/tdm\/userlicense\/1.0\/"},{"start":{"date-parts":[[2001,2,1]],"date-time":"2001-02-01T00:00:00Z","timestamp":980985600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.elsevier.com\/legal\/tdmrep-license"},{"start":{"date-parts":[[2013,7,17]],"date-time":"2013-07-17T00:00:00Z","timestamp":1374019200000},"content-version":"vor","delay-in-days":4549,"URL":"http:\/\/www.elsevier.com\/open-access\/userlicense\/1.0\/"}],"content-domain":{"domain":["elsevier.com","sciencedirect.com"],"crossmark-restriction":true},"short-container-title":["Applied Mathematics Letters"],"published-print":{"date-parts":[[2001,2]]},"DOI":"10.1016\/s0893-9659(00)00129-4","type":"journal-article","created":{"date-parts":[[2003,4,7]],"date-time":"2003-04-07T12:11:55Z","timestamp":1049717515000},"page":"159-165","update-policy":"https:\/\/doi.org\/10.1016\/elsevier_cm_policy","source":"Crossref","is-referenced-by-count":2,"title":["Bautin ideal of a cubic map"],"prefix":"10.1016","volume":"14","author":[{"given":"I.","family":"Benediktovitch","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"V.","family":"Romanovski","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"78","reference":[{"issue":"1","key":"10.1016\/S0893-9659(00)00129-4_BIB1","doi-asserted-by":"crossref","first-page":"94","DOI":"10.1006\/jdeq.1997.3260","article-title":"The problem of center for resonant singular points of polynomial vector fields","volume":"137","author":"Zoladek","year":"1997","journal-title":"J. Differential Equations"},{"issue":"4","key":"10.1016\/S0893-9659(00)00129-4_BIB2","first-page":"529","article-title":"Local dynamics of some algebraic maps","volume":"7","author":"Romanovski","year":"1998","journal-title":"Dynamic Systems and Applications"},{"key":"10.1016\/S0893-9659(00)00129-4_BIB3_1","first-page":"181","article-title":"On the number of limit cycles which appear with the variation of the coefficients from an equilibrium position of focus or center type","volume":"30","author":"Bautin","year":"1952","journal-title":"Mat. Sb."},{"key":"10.1016\/S0893-9659(00)00129-4_BIB3_2","first-page":"396","article-title":"On the number of limit cycles which appear with the variation of the coefficients from an equilibrium position of focus or center type","volume":"5","author":"Bautin","year":"1962","journal-title":"Amer. Math. Soc. Transl. Ser. 1"},{"year":"1992","series-title":"Ideals, Varieties, and Algorithms","author":"Cox","key":"10.1016\/S0893-9659(00)00129-4_BIB4"},{"key":"10.1016\/S0893-9659(00)00129-4_BIB5","article-title":"An Introduction to Gr\u00f6bner Bases","volume":"Volume 3","author":"Adams","year":"1994"},{"key":"10.1016\/S0893-9659(00)00129-4_BIB6","doi-asserted-by":"crossref","first-page":"146","DOI":"10.1016\/S0747-7171(88)80040-3","article-title":"Gr\u00f6bner bases and primary decomposition of polynomial ideals","volume":"6","author":"Gianni","year":"1988","journal-title":"J. Symb. Comp."},{"issue":"6","key":"10.1016\/S0893-9659(00)00129-4_BIB7","first-page":"784","article-title":"Cyclicity of the singular point of a cubic system","volume":"32","author":"Romanovskii","year":"1996","journal-title":"Differentsial'nye Uravneniya"},{"key":"10.1016\/S0893-9659(00)00129-4_BIB8","doi-asserted-by":"crossref","first-page":"843","DOI":"10.1088\/0951-7715\/8\/5\/011","article-title":"Eleven small limit cycles in a cubic vector field","volume":"8","author":"\u017bo\u0142a\u0327dek","year":"1995","journal-title":"Nonlinearity"}],"container-title":["Applied Mathematics Letters"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0893965900001294?httpAccept=text\/xml","content-type":"text\/xml","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/api.elsevier.com\/content\/article\/PII:S0893965900001294?httpAccept=text\/plain","content-type":"text\/plain","content-version":"vor","intended-application":"text-mining"}],"deposited":{"date-parts":[[2025,10,12]],"date-time":"2025-10-12T02:58:16Z","timestamp":1760237896000},"score":1,"resource":{"primary":{"URL":"https:\/\/linkinghub.elsevier.com\/retrieve\/pii\/S0893965900001294"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2001,2]]},"references-count":9,"journal-issue":{"issue":"2","published-print":{"date-parts":[[2001,2]]}},"alternative-id":["S0893965900001294"],"URL":"https:\/\/doi.org\/10.1016\/s0893-9659(00)00129-4","relation":{},"ISSN":["0893-9659"],"issn-type":[{"type":"print","value":"0893-9659"}],"subject":[],"published":{"date-parts":[[2001,2]]},"assertion":[{"value":"Elsevier","name":"publisher","label":"This article is maintained by"},{"value":"Bautin ideal of a cubic map","name":"articletitle","label":"Article Title"},{"value":"Applied Mathematics Letters","name":"journaltitle","label":"Journal Title"},{"value":"https:\/\/doi.org\/10.1016\/S0893-9659(00)00129-4","name":"articlelink","label":"CrossRef DOI link to publisher maintained version"},{"value":"converted-article","name":"content_type","label":"Content Type"},{"value":"Copyright \u00a9 2000 Published by Elsevier Ltd.","name":"copyright","label":"Copyright"}]}}