Two families of nonstandard Poisson structures for Newton equations

被引：17

作者：

Marciniak, K ^{[1
]}

Rauch-Wojciechowski, S ^{[1
]}

Wojciechowski, R ^{[1
]}

机构：

[1] Linkoping Univ, Dept Math, S-58183 Linkoping, Sweden

来源：

JOURNAL OF MATHEMATICAL PHYSICS | 1998年 / 39卷 / 10期

关键词：

D O I：

10.1063/1.532571

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

Two families of nonstandard two-dimensional Poisson structures for systems of Newton equations are studied. They are closely related either with separable systems or with the so-called quasi-Lagrangian systems. A theorem characterizing the general form of bi-Hamiltonian formulation for separable systems in two and in n dimensions is formulated and proved. (C) 1998 American Institute of Physics. [S0022-2488(98)03810-9].

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页码：5292 / 5306

页数：15

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