The conditions of existence of first integrals and Hamiltonian structures of Lotka-Volterra and Volterra systems

被引：2

作者：

Dubovik, VM ^{[1
]}

Galperin, AG ^{[1
]}

Richvitsky, VS ^{[1
]}

Slepnyov, SK ^{[1
]}

机构：

[1] Joint Inst Nucl Res, Bogolubov Lab Theoret Phys, Dubna 141980, Moscow Oblast, Russia

来源：

PHYSICS OF ATOMIC NUCLEI | 2000年 / 63卷 / 04期

关键词：

D O I：

10.1134/1.855678

中图分类号：

O57 [原子核物理学、高能物理学];

学科分类号：

070202 ;

摘要：

A study of a certain subset of Volterra equations has revealed that some statements about time-independent constants of motion, Hamiltonian functions, and Poisson structure matrices appearing in the Lotka-Volterra equations, either regarded as proven or of the sort that could be proven, are not valid, in fact. Particular cases are given as examples to explain the reasons for the occurring phenomena. (C) 2000 MAIK "Nauka/Interperiodica".

引用

页码：629 / 634

页数：6

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