Abstract:In this article, we present the Lie transformation algorithm for autonomous Birkhoff systems. Here, we are referring to Hamiltonian systems that obey a symplectic structure of the general form. The Birkhoff equations are derived from the linear first-oder Pfaff-Birkhoff variational principle, which is more general than the Hamilton principle. The use of 1-form in the formulation of the equations of motion in dynamics makes the Birkhoff method more universal and flexible. Birkhoff's equations have a tensorial c… Show more
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