A GENERALIZED HENON-HEILES SYSTEM AND RELATED INTEGRABLE NEWTON EQUATIONS

被引：32

作者：

BLASZAK, M ^{[1
]}

RAUCHWOJCIECHOWSKI, S ^{[1
]}

机构：

[1] LINKOPING UNIV,DEPT MATH,S-58183 LINKOPING,SWEDEN

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1994年 / 35卷 / 04期

关键词：

D O I：

10.1063/1.530565

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

A detailed description is given of integrable cases of the generalized Henon-Heiles systems which differs from the standard H-H ones by the term alpha/q2(2), Their connection with fifth-order one-component soliton equations is discussed. Lax representations are constructed, and the bi-Hamiltonian formulation of dynamics is given. It is also shown that the gH-H system can be mapped onto another system of Newton equations with a nonstandard Hamiltonian structure.

引用

页码：1693 / 1709

页数：17

共 18 条

[1]

AIZAWA Y, 1972, J PHYS SOC JPN, V32, P1636, DOI 10.1143/JPSJ.32.1636

[2] BI-HAMILTONIAN FORMULATION OF THE HENON HEILES SYSTEM AND ITS MULTIDIMENSIONAL EXTENSIONS [J].