A GENERALIZATION OF SZEBEHELY'S INVERSE PROBLEM OF DYNAMICS

被引：3

作者：

Sarlet, W. ^{[1
,2
]}

Mestdag, T. ^{[1
]}

Prince, G. ^{[2
]}

机构：

[1] Univ Ghent, Dept Math, B-9000 Ghent, Belgium

[2] La Trobe Univ, Dept Math & Stat, Melbourne, Vic 3086, Australia

来源：

REPORTS ON MATHEMATICAL PHYSICS | 2013年 / 72卷 / 01期

关键词：

Szebehely's equation; inverse problem of dynamics; inverse problem of the calculus of variations; HAMILTON-JACOBI THEORY; HELMHOLTZ CONDITIONS; CALCULUS; EQUATION; TRAJECTORIES; SYSTEMS; FAMILIES; ORBITS;

D O I：

10.1016/S0034-4877(14)60005-7

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The so-called inverse problem of dynamics is about constructing a potential for a given family of curves. We observe that there is a more general way of posing the problem by making use of ideas of another inverse problem, namely the inverse problem of the calculus of variations. We critically review and clarify different aspects of the current state of the art of the problem (mainly restricted to the case of planar curves), and then develop our more general approach.

引用

页码：65 / 84

页数：20

共 31 条

[1] An EDS approach to the inverse problem in the calculus of variations [J].