  We discuss Hamiltonian model of oscillator lattice with local coupling. Model
describes spatial modes of nonlinear Schr\"{o}dinger equation with periodic
tilted potential. The Hamiltonian system manifests reversibility of Topaj -
Pikovsky phase oscillator lattice. Furthermore, the Hamiltonian system has
invariant manifolds with dynamics exactly equivalent to the Topaj - Pikovsky
model. We demonstrate the complexity of dynamics with results of numerical
simulations. We also propose two dissipative models close to Topaj - Pikovsky
system.
