On Time-dependent Hamiltonian Realizations of Planar and Nonplanar Systems

In this paper, we elucidate the key role played by the cosymplectic geometry in the theory of time dependent Hamiltonian systems in 2 D . We generalize the cosymplectic structures to time-dependent Nambu–Poisson Hamiltonian systems and corresponding Jacobi’s last multiplier for 3 D systems. We illustrate our constructions with various examples.