Introduction to Nambu's Generalized Hamiltonian Dynamics

This book introduces Nambu’s generalized Hamiltonian dynamics. In 1973, Nambu proposed extending classical Hamiltonian mechanics by replacing the canonical doublet (p,q) with a three-dimensional phase space defined by a canonical triplet (x,y,z). The equations of motion are formulated using a triple bracket—a generalization of the Poisson bracket—with two 'Hamiltonians' treated on an equal footing...