【摘要】 本文讨论一类具有双等时中心的平面二次系统在高次扰动下通过Poincare’分枝可能出现的极限环个数,并给出了分枝方程的明显计算公式.更多还原

【Abstract】 In this paper, we study the disturbed quadratic system with two isochronous centers. For the n-degree polynomial perturbations, in order to find the number of limit cycles created by poincare’ bifurcations in the disturbed system, we give obvious calculation formulas of bifurcation equations. By using these formulas, the results of distributions of limit cycles can be obtained.更多还原