Quadratic perturbations of a class of quadratic reversible center of genus one |
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Authors: | HaiHua Liang KuiLin Wu YuLin Zhao |
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Institution: | 1. Department of Computer Science, Guangdong Polytechnic Normal University, Guangzhou, 510665, China 2. College of Science, Guizhou University, Guizhou, 550025, China 3. Department of Mathematics, Sun Yat-Sen University, Guangzhou, 510275, China
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Abstract: | This paper is concerned with the quadratic perturbations of a one-parameter family of quadratic reversible system, having a center of genus one. The exact upper bound of the number of limit cycles emerging from the period annulus surrounding the center of the unperturbed system is given. |
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