ON GENERALIZED ERMAKOV SYSTEMS

被引:22
作者
ATHORNE, C
机构
[1] Department of Mathematics, University of Glasgow University Gardens, Glasgow
关键词
D O I
10.1016/0375-9601(91)90364-E
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The structure of a class of generalized Ermakov systems is seen to be that of an autonomous Hamiltonian system extended by a family of nonautonomous linear oscillators.
引用
收藏
页码:375 / 378
页数:4
相关论文
共 25 条
[1]  
[Anonymous], 1974, Reports on Mathematical Physics, V5, P121, DOI 10.1016/0034-4877(74)90021-4
[2]   RATIONAL ERMAKOV SYSTEMS OF FUCHSIAN TYPE [J].
ATHORNE, C .
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (05) :945-961
[3]   ON LINEARIZATION OF THE ERMAKOV SYSTEM [J].
ATHORNE, C ;
ROGERS, C ;
RAMGULAM, U ;
OSBALDESTIN, A .
PHYSICS LETTERS A, 1990, 143 (4-5) :207-212
[4]  
ATHORNE C, IN PRESS J DIFFER EQ
[5]  
ATHORNE C, 9129 GLASG U DEP MAT
[6]  
Cervero J. M., 1990, Quantum Optics, V2, P333, DOI 10.1088/0954-8998/2/5/001
[7]   ERMAKOV HAMILTONIANS [J].
CERVERO, JM ;
LEJARRETA, JD .
PHYSICS LETTERS A, 1991, 156 (05) :201-205
[8]   Solution of the inverse problem of the calculus of variations [J].
Douglas, Jesse .
TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 1941, 50 (1-3) :71-128
[9]   2ND CONSTANT OF MOTION FOR GENERALIZED ERMAKOV SYSTEMS [J].
GOEDERT, J .
PHYSICS LETTERS A, 1989, 136 (7-8) :391-394
[10]  
GONCHARENKO AM, ERMAKOV HAMILTONIAN