| 一类通有二次哈密顿系统的环性(英文) |
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| 引用本文： | 张增华,李承治. 一类通有二次哈密顿系统的环性(英文)[J]. Annals of Differential Equations, 2002, 0(1) |
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| 作者姓名： | 张增华 李承治 |
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| 作者单位： | School of Math. Sciences，Peking University，?Beijing 100871 |
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| 基金项目： | Supported by NSFC and RFDP. |
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| 摘 要： | 1 IntroductionConsider the fOllowing system:t'here E is a small parameter, H(I, y) is a polynomial of degree (n + 1 ) ? f(I, y)and g(x, y) are polynomials of degree S n. The corresponding Abelian integrallswhere b(h) is a compact leve1 curve H--'(h) of (1.l) when E = 0, for h lyingbetween criticaI values of H. The Hilbert-Arnold prob1em (weakend Hilbert16th problern) is to find an upper boulld of the nurnber of zeros of (l.2) forfixed n 2 2 and for al1 H, f and g. In this paper, we tvi11…
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THE CYCLICITY OF CERTAIN GENERIC QUADRATIC HAMILTONIAN SYSTEMS |
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| Zhang Zenghua , Li Chengzhi. THE CYCLICITY OF CERTAIN GENERIC QUADRATIC HAMILTONIAN SYSTEMS[J]. 微分方程年刊(英文版), 2002, 0(1) |
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| Authors: | Zhang Zenghua & Li Chengzhi |
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| Abstract: | In this paper, we prove that the cycicity of period annulns (or annuli) of certain generic quadratic Hamiltonian systems under quadratic perturbations is two. Some methods and a part of results in this paper are new. |
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| Keywords: | Hilbert-Arnold problem quadratic generic Hamiltonian system Abe- lian integral cycicity |
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