Simple evaluation of Casimir invariants in finite-dimensional Poisson systems

Abstract

In this letter we present a procedure for the calculation of the Casimir functions of finite-dimensional Poisson systems which avoids the burden of solving a set of partial differential equations, as it is usually suggested in the literature. We show how a simple algebraic manipulation of the structure matrix reduces substantially the difficulty of the problem.

References in corpus (1)

• A constant of motion in 3D implies a local generalized Hamiltonian structure

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