Constant Poisson structures and the weighted Euler integrator (Q1964110)

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scientific article; zbMATH DE number 1398825
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Constant Poisson structures and the weighted Euler integrator
scientific article; zbMATH DE number 1398825

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    Constant Poisson structures and the weighted Euler integrator (English)
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    20 July 2000
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    The paper gives a direct proof of the well-known characterization of constant Poisson structures in terms skew-symmetric matrices. A model of a non-canonical Poisson dynamics is also presented and its properties are discussed as well as the connection between the Hamilton-Poisson systems and their corresponding weighted Euler integrators. Some geometrical and dynamical properties are pointed out.
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    Hamilton-Poisson systems
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    weighted Euler integration
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    Poisson structures
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    non-canonical Poisson dynamics
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