| 扰动双等时中心二次系统的Poincare′分枝 |
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| 引用本文： | 刘正荣,张寄洲. 扰动双等时中心二次系统的Poincare′分枝[J]. 云南大学学报(自然科学版), 1992, 0(1) |
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| 作者姓名： | 刘正荣 张寄洲 |
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| 作者单位： | 云南大学数学系(刘正荣)，湖北大学数学系(张寄洲) |
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| 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.
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| 关 键 词： | 分枝 等时中心 极限环 |
Poincare'''' Bifurcations in the Perturbed Quadratic System with Two Isochronous Centers |
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| Liu Zhengrong. Poincare'''' Bifurcations in the Perturbed Quadratic System with Two Isochronous Centers [J]. Journal of Yunnan University(Natural Sciences), 1992, 0(1) |
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| Authors: | Liu Zhengrong |
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| 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. |
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| Keywords: | bifurcation isochronous centers limit cycles |
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