Henon-Heiles系统的不可积性
Non-integrability of Henon-Heiles System
我们将严格证明Henon-Heiles系统除了 c = 0, 或 d/c = 1; a = b, 或 d/c = 6; a; b 任意, 或 d/c = 16; b = 16a等四种情形外都是不可积的。
We show that the Henon-Heiles system is integrable in Liuvillian sense(the existence of an additional first integral) if and only if c = 0, or d/c = 1; a = b, or d/c = 6; a; b rbitrary, or d/c = 16; b = 16a.
史少云、黎文磊
数学物理学
不可积性Henon-Heiles 系统Morales-Ramis 理论Lame方程
Non-integrabilityHenon-Heiles systemMorales-Ramis theoryLame equation
史少云,黎文磊.Henon-Heiles系统的不可积性[EB/OL].(2009-11-26)[2025-08-11].http://www.paper.edu.cn/releasepaper/content/200911-733.点此复制
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