GENERALIZED SYMMETRIES AND CONSERVED QUANTITIES OF THE LOTKA-VOLTERRA MODEL

被引:5
作者
BAUMANN, G
FREYBERGER, M
机构
[1] Abteilung für Mathematische Physik, Universität Ulm, W-7900 Ulm
关键词
D O I
10.1016/0375-9601(91)90185-B
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
We examine the generalized symmetries of the Lotka-Volterra model to find the parameter values at which one time-dependent integral of motion exists. In this case the integral can be read off from the symmetries themselves. We also demonstrate the connection to a Hamiltonian structure of the Lotka-Volterra model.
引用
收藏
页码:488 / 490
页数:3
相关论文
共 6 条
[1]  
BOUNTIS T, 1983, LECTURE NOTES PHYSIC, V179
[2]  
DAVIS H. T., 1962, INTRO NONLINEAR DIFF
[3]   HAMILTONIAN-STRUCTURE OF THE LOTKA-VOLTERRA EQUATIONS [J].
NUTKU, Y .
PHYSICS LETTERS A, 1990, 145 (01) :27-28
[4]  
OLVER PJ, 1986, APPLICATIONS LIE GRO
[5]   LIE SYMMETRIES OF THE LORENZ MODEL [J].
SEN, T ;
TABOR, M .
PHYSICA D, 1990, 44 (03) :313-339
[6]  
VOLTERRA V, 1962, MEM ACAD LIACEI, V2, P31