T. Homma et M. Kadoya, A SYSTEM WITH CONSTRAINTS IN THE NAMBU MECHANICS, Nuovo cimento della Societa italiana di fisica. B, Relativity, classical and statistical physics, 108(2), 1993, pp. 219-226
We investigate, with Oliveira's method, solutions to the Nambu equatio
ns for a free particle and a particle constrained on a hypersurface. T
here is no one-to-one correspondence between the Nambu and the Hamilto
nian formulation.