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

Author

Listed:
  • Plank, Manfred

    (Department of Economics, Institute for Advanced Studies, Vienna and Institut für Mathematik, Universität Wien)

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.

Suggested Citation

  • Plank, Manfred, 1995. "Bi-Hamiltonian Systems and Lotka-Volterra Equations: A Three Dimensional Classification," Economics Series 9, Institute for Advanced Studies.
    • Handle: RePEc:ihs:ihsesp:9
    as

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    File URL: https://irihs.ihs.ac.at/id/eprint/839
    File Function: First version, 1995
    Download Restriction: no
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    More about this item

    Keywords

    Hamiltonian Systems; Lotka-Volterra Equations;

    JEL classification:

    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games

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