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- W2085162152 abstract "Abstract We show that if an n -dimensional autonomous dynamical system (DS) with a vector field (VF) which has constant divergence possesses n − 1 independent first integrals, then it admits a symmetry VF which involves Nambu mechanics (NM). If the DS is conservative, then the Nambu VF happens to be a symmetry VF of the DS. We also show that the integrating factors can be constructed via NM. We illustrate our results on the Lotka-Volterra DS." @default.
- W2085162152 created "2016-06-24" @default.
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- W2085162152 date "1996-12-01" @default.
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- W2085162152 title "Symmetries, integrating factors and Nambu mechanics" @default.
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- W2085162152 doi "https://doi.org/10.1016/s0375-9601(96)00771-2" @default.
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