Direct Hamiltonization for Nambu Systems
arXiv:0810.2310
Abstract
The direct hamiltonization procedure applied to Nambu mechanical systems proves that the Nambu mechanics is an usual mechanics described by only one Hamiltonian. Thus a particular case of Hamiltonian mechanics. It is also proved that any mechanical system described by the equation d{\bf r}/dt={\bf A(r)} is a Nambu system.