STABILITY-CRITERION FOR HAMILTONIAN-SYSTEMS

被引：6

作者：

LONKE, A ^{[1
]}

CABOZ, R ^{[1
]}

机构：

[1] UNIV PAU,IURS,PAU,FRANCE

来源：

PHYSICA A | 1979年 / 99卷 / 1-2期

关键词：

D O I：

10.1016/0378-4371(79)90142-0

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

摘要：

The conditions under which the phase space trajectories of a perturbed Hamiltonian system preserve conditional periodicity are investigated. It is shown that the sufficient and necessary condition for the stability of the system is the self-adjointness of the Liouville operator in the Hilbert space of functions absolute square integrable on the energy surface of the system in the phase space. © 1979.

引用

页码：350 / 356

页数：7

共 22 条

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