BI-HAMILTONIAN SYSTEMS AND LOTKA-VOLTERRA EQUATIONS - A 3-DIMENSIONALCLASSIFICATION

Authors
PLANK M
Citation
M. Plank, BI-HAMILTONIAN SYSTEMS AND LOTKA-VOLTERRA EQUATIONS - A 3-DIMENSIONALCLASSIFICATION, Nonlinearity, 9(4), 1996, pp. 887-896
Citations number
18
Categorie Soggetti
Mathematics,"Mathematical Method, Physical Science",Mathematics,"Physycs, Mathematical
Journal title
Nonlinearity → ACNP
ISSN journal
09517715
Volume
9
Issue
4
Year of publication
1996
Pages
887 - 896
Database
ISI
SICI code
0951-7715(1996)9:4<887:BSALE->2.0.ZU;2-I
Abstract
We study three-dimensional bi-Hamiltonian systems in general and use t he obtained results to classify all three-dimensional Lotka-Volterra e quations, which admit a bi-Hamiltonian representation.