Lie point symmetries for reduced Ermakov systems

被引：5
|
作者：
Haas, F [1 ]
Goedert, J [1 ]
机构：
[1] Univ Vale Rio dos Sinos, BR-93022000 Sao Leopoldo, RS, Brazil
来源：
PHYSICS LETTERS A | 2004年 / 332卷 / 1-2期
关键词：
Ermakov system; Lie symmetry; Ermakov invariant;
D O I：
10.1016/j.physleta.2004.08.051
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
The condition for Lie point symmetries for reduced Ermakov systems is solved yielding three families of systems. SL(2, R) is always a group of symmetries when frequencies depends on time only. However, the generator of symmetries in more general cases have a contribution not associated with the SL(2, R) group. (C) 2004 Elsevier B.V. All rights reserved.
引用
收藏
页码：25 / 34
页数：10
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