GENERALIZED HAMILTONIAN STRUCTURES FOR SYSTEMS IN 3 DIMENSIONS WITH A RESCALABLE CONSTANT OF MOTION

被引:20
|
作者
GOEDERT, J [1 ]
HAAS, F [1 ]
HUA, D [1 ]
FEIX, MR [1 ]
CAIRO, L [1 ]
机构
[1] UFR SCI,MAPMO,URA 1803,F-45067 ORLEANS 2,FRANCE
来源
关键词
D O I
10.1088/0305-4470/27/19/020
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The generalized Hamiltonian structures of several three-dimensional dynamical systems of interest in physical applications are considered. In general, Hamiltonians exist only for systems that possess at least one time-independent constant of motion. Systems with only time-dependent constants of motion may sometimes be rescaled and their constant of motion made time-independent. When this is possible, the transformed system may be cast in a generalized Hamiltonian formalism with non-canonical structure functions.
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页码:6495 / 6507
页数:13
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