THE HENON-HEILES SYSTEM REVISITED

被引：127

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

页码：204 / 210

页数：7

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