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Integrals of Lotka-Volterra systems with partially broken symmetry (Q1973538)

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scientific article; zbMATH DE number 1437195
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English
Integrals of Lotka-Volterra systems with partially broken symmetry
scientific article; zbMATH DE number 1437195

    Statements

    Integrals of Lotka-Volterra systems with partially broken symmetry (English)
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    22 March 2001
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    The author first shows how more general Lotka-Volterra equations can be obtained from simple ones with an obvious Hamiltonian structure by restricting to an energy surface. Then quasi-monomial constants of motion are studied. A method for constructing such invariants based on the reduction to lower-dimensional subsystems is described.
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    Lotka-Volterra equations
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    constant of motion
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    Hamiltonian system
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    Poisson structure
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