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We show that up to first-order averaging, at most five limit cycles can bifurcate from the period annulus of the unperturbed system for [Formula: see text], at most [Formula: see text] limit cycles can bifurcate from the periodic annulus of the unperturbed system for any [Formula: see text], and the upper bound is sharp for [Formula: see text] and for [Formula: see text].<\/jats:p>","DOI":"10.1142\/s0218127417500729","type":"journal-article","created":{"date-parts":[[2017,6,9]],"date-time":"2017-06-09T08:58:50Z","timestamp":1496998730000},"page":"1750072","source":"Crossref","is-referenced-by-count":5,"title":["Bifurcation of Limit Cycles from the Center of a Quintic System via the Averaging Method"],"prefix":"10.1142","volume":"27","author":[{"given":"Bo","family":"Huang","sequence":"first","affiliation":[{"name":"Guangxi Key Laboratory of Hybrid Computation and IC Design Analysis, Nanning 530006, P. R. 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