THE CYCLICITY OF THE PERIOD ANNULUS OF THE QUADRATIC HAMILTONIAN TRIANGLE

THE CYCLICITY OF THE PERIOD ANNULUS OF THE QUADRATIC HAMILTONIAN TRIANGLE
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DOI:
10.1006/jdeq.1996.0097
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发表时间:
1996-06
影响因子:
2.4
通讯作者:
I. Iliev
I. Iliev
中科院分区:
数学2区
文献类型:
--
作者:
I. Iliev

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摘要 本文研究了由三角形分色线包围的二次哈密顿中心。证明了在这种情况下,二次摄动下周期环的循环性等于3。
Abstract The paper studies quadratic Hamiltonian centers surrounded by a separatrix contour having a form of a triangle. It is proved that in this situation the cyclicity of the period annulus under quadratic perturbations is equal to three.