THE HENON-HEILES SYSTEM REVISITED

被引：126
|
作者：
FORDY, AP [1 ]
机构：
[1] UNIV LEEDS,CTR NONLINEAR STUDIES,LEEDS LS2 9JT,W YORKSHIRE,ENGLAND
来源：
PHYSICA D | 1991年 / 52卷 / 2-3期
关键词：
D O I：
10.1016/0167-2789(91)90122-P
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The known integrable cases of the Henon-Heiles system are shown to be closely related to the stationary flows of the known (and only) integrable fifth-order (single component and polynomial) nonlinear evolution equations. This is further evidence that these are the only integrable cases of the Henon-Heiles system. Lax pairs are deduced for each of the integrable cases and used to construct the constants of motion. A curious Lax operator recently found by the Painleve method is explained.
引用
收藏
页码：204 / 210
页数：7
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