| 一类单中心Hamilton系统在三次扰动下的Poincare分岔 |
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| 引用本文： | 赵育林.一类单中心Hamilton系统在三次扰动下的Poincare分岔[J].数学理论与应用,2006(1). |
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| 作者姓名： | 赵育林 |
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| 作者单位： | 中南大学数学学院 长沙 410075 |
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| 摘 要： | 使用一阶Mel‘nikov函数讨论了一类具有以抛物线与直线为边界的周期环域的单中心二次Hamilton系统的三次扰动下的Poincare分岔,得到其Poincare分岔最多可以产生两个极限环。
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| 关 键 词： | Mel nikov函数 Hamiltion系统 极限环 |
Poincare Bifurcation Problems of Quardratic Hamiltonian System With one Centrer under Cubic Perturbation |
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| Zhao Yulin.Poincare Bifurcation Problems of Quardratic Hamiltonian System With one Centrer under Cubic Perturbation[J].Mathematical Theory and Applications,2006(1). |
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| Authors: | Zhao Yulin |
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| Abstract: | We discuss the poincare bifurcation problems of quadratic Hamiltonian system under cubic perturbation,with one center and the peroodic regions,which has a parabola and a invariant straight line as its bounding.By using one order Mel'nikov functions,we prove that at most two limit cyeles occur from the Poincare bifurcation. |
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| Keywords: | Hamiltonian system Mel'nikov functions limit cycle |
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