Explicit integration of the Hénon-Heiles Hamiltonians
Explicit integration of the Hénon-Heiles Hamiltonians
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DOI：
10.2991/jnmp.2005.12.s1.18
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发表时间：
2004-12
影响因子：
0.7
通讯作者：
R. Conte;M. Musette;C. Verhoeven
中科院分区：
文献类型：
--
作者：
R. Conte;M. Musette;C. Verhoeven
Abstract We consider the cubic and quartic Hénon-Heiles Hamiltonians with additional inverse square terms, which pass the Painlevé test for only seven sets of coefficients. For all the not yet integrated cases we prove the singlevaluedness of the general solution. The seven Hamiltonians enjoy two properties: meromorphy of the general solution, which is hyperelliptic with genus two and completeness in the Painlevé sense (impossibility to add any term to the Hamiltonian without destroying the Painlevé property).
