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Characterization and global analysis of a family of Poisson structures

Published 10 Oct 2019 in math-ph, math.DS, math.MP, math.SG, nlin.SI, and physics.class-ph | (1910.05141v1)

Abstract: A three-dimensional family of solutions of the Jacobi equations for Poisson systems is characterized. In spite of its general form it is possible the explicit and global determination of its main features, such as the symplectic structure and the construction of the Darboux canonical form. Examples are given.

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