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By using Picard\u2013Fuchs equations and the Chebyshev criterion, we give the upper bound of the number of limit cycles that bifurcate from the period annulus for the piecewise smooth Bogdanov\u2013Takens system if the first-order Melnikov function is not identically 0. <\/jats:p>","DOI":"10.1142\/s0218127425501196","type":"journal-article","created":{"date-parts":[[2025,6,12]],"date-time":"2025-06-12T23:45:24Z","timestamp":1749771924000},"source":"Crossref","is-referenced-by-count":0,"title":["On the Number of Limit Cycles Bifurcating from the Bogdanov\u2013Takens System with an Algebraic Switching Curve"],"prefix":"10.1142","volume":"35","author":[{"ORCID":"https:\/\/orcid.org\/0009-0006-7653-4211","authenticated-orcid":false,"given":"Jiaxin","family":"Wang","sequence":"first","affiliation":[{"name":"Department of Basic, China Fire and Rescue Institute, Beijing 102201, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0009-0009-8286-696X","authenticated-orcid":false,"given":"Li","family":"Zou","sequence":"additional","affiliation":[{"name":"College of Information Science and Engineering, Shandong Agricultural University, Taian 271018, P.\u00a0R.\u00a0China"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"219","published-online":{"date-parts":[[2025,6,12]]},"reference":[{"key":"S0218127425501196BIB001","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2021.03.039"},{"key":"S0218127425501196BIB002","doi-asserted-by":"publisher","DOI":"10.1016\/j.jde.2019.04.019"},{"key":"S0218127425501196BIB003","doi-asserted-by":"publisher","DOI":"10.1016\/j.jmaa.2016.11.048"},{"key":"S0218127425501196BIB004","first-page":"1","volume":"40","author":"Cui W.","year":"2020","journal-title":"J. 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