Bi-Hamiltonian Systems and Lotka-Volterra Equations: A Three Dimensional Classification

Manfred Plank
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Manfred Plank: Department of Economics, Institute for Advanced Studies, Vienna and Institut für Mathematik, Universität Wien

No 9, Economics Series from Institute for Advanced Studies

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: Hamiltonian Systems; Lotka-Volterra Equations (search for similar items in EconPapers)
JEL-codes: C73 (search for similar items in EconPapers)
Pages: 16 pages
Date: 1995-05
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https://irihs.ihs.ac.at/id/eprint/839 First version, 1995 (application/pdf)

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