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Quadratic perturbations of a class of quadratic reversible center of genus one 被引量:1

Quadratic perturbations of a class of quadratic reversible center of genus one
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摘要 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. 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.
出处 《Science China Mathematics》 SCIE 2013年第3期577-596,共20页 中国科学:数学(英文版)
基金 supported by National Natural Science Foundation of China (Grant Nos.11126318, 11201086 and 11171355) the Ph.D. Programs Foundation of Ministry of Education of China (GrantNo. 20100171110040)
关键词 quadratic perturbations quadratic reversible system limit cycle abelian integral 可逆系统 扰动 未扰系统 极限环 周期环 上界
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