DEVELOPMENTS IN NAMBU MECHANICS

This paper describes the following results in Nambu mechanics: the def inition of simple physical systems; the result of applying the Kalnay and Tascon theorem to the study of different groupings of the n phase space variables into an s-coordinate and an (n - s)- momentum; the stu dy of the intrinsic geometry of the curve that solves the Nambu equati ons of motion by explicit construction of the local coordinate system; the construction of sets of Hamiltonians that generate the same set o f differential equations; a way to construct canonical transformations ; a study of the intrinsic geometry of a system known to have chaotic behaviour: the Lorenz model and the correspondence of an oscillating N ambu system as the classical analogue of a simple version of the Hubba rd model for superconductivity.