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The method used is singular value method, we obtain the expressions of the first five focal values of the two singular points that the system has. Both singular symmetric points can be fine foci of fifth order at the same time. Moreover, we obtain that each one bifurcates five small limit cycles under a certain coefficient perturbed condition, consequently, at least ten limit cycles can appear by simultaneous Hopf bifurcation. <\/jats:p>","DOI":"10.1142\/s0218127416501492","type":"journal-article","created":{"date-parts":[[2016,8,30]],"date-time":"2016-08-30T05:32:56Z","timestamp":1472535176000},"page":"1650149","source":"Crossref","is-referenced-by-count":12,"title":["A Class of Three-Dimensional Quadratic Systems with Ten Limit Cycles"],"prefix":"10.1142","volume":"26","author":[{"given":"Chaoxiong","family":"Du","sequence":"first","affiliation":[{"name":"Department of Mathematics, Hunan Shaoyang University, Shaoyang, Hunan 422000, P. R. 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