Time transformation and reversibility of Nambu–Poisson systems
A time transformation technique for Nambu–Poisson systems is developed, and its structural properties are examined. The approach is based on extension of the phase space P into P¯ = P×R, where the additional variable controls the time-stretching rate. It is shown that time transformation of a system on P can be realised as an extended system on P¯, with an extended Nambu–Poisson structure. In addi