Bi-Hamiltonian systems and Lotka - Volterra equations: a three-dimensional classification
- 1 July 1996
- journal article
- Published by IOP Publishing in Nonlinearity
- Vol. 9 (4) , 887-896
- https://doi.org/10.1088/0951-7715/9/4/004
Abstract
We study three-dimensional bi-Hamiltonian systems in general and use the obtained results to classify all three-dimensional Lotka - Volterra equations, which admit a bi-Hamiltonian representation.Keywords
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