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The period annulus has a heteroclinic cycle connecting two hyperbolic saddles as the outer boundary. It is proved that there exist at most 4 and at least 3 limit cycles emerging from the period annulus, and 3 limit cycles are near the boundaries.<\/jats:p>","DOI":"10.1155\/2019\/5813596","type":"journal-article","created":{"date-parts":[[2019,8,25]],"date-time":"2019-08-25T23:31:02Z","timestamp":1566775862000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Perturbation of a Period Annulus with a Unique Two\u2010Saddle Cycle in Higher Order 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