  In an anti-Hermitian linear system, all energy eigenvalues are purely
imaginary and the corresponding eigenvectors are orthogonal. This implies that
no stationary state is available in such systems. We consider an anti-Hermitian
lattice with cubic nonlinearity and explore novel nonlinear stationary modes.
We discuss that relative population is conserved in a nonreciprocal tight
binding lattice with periodical boundary conditions as opposed to parity-time
(PT) symmetric lattices. We study nonlinear nonrecipocal dimer, triple and
quadrimer models and construct stationary nonlinear modes.
