首頁 > 期刊 > 自然科學與工程技術 > 基礎科學 > 數學 > 數學學報 > Hopf Cyclicity of a Family of Generic Reversible Quadratic Systems with One Center 【正文】
摘要:This paper is concerned with small quadratic perturbations to one parameter family of generic reversible quadratic vector fields with a simple center. The first objective is to show that this system exhibits two small amplitude limit cycles emerging from a Hopf bifurcation. The second one we prove that the system has no limit cycle around the weak focus of order two. The results may be viewed as a contribution to proving the conjecture on cyclicity proposed by Iliev(1998).
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