  In a dissipationless linear lattice, spatial disorder or incommensurate
modulation induce localization of the lattice eigenstates and block spreading
of wave packets. Additionally, incommensurate arrays allow for the
metal-insulator transition at a finite modulation amplitude already in one
dimension. The addition of nonlinearity to the lattice Hamiltonian causes
interaction between the eigenstates, which results in a slow packet spreading.
We go beyond the dissipationless limit and consider nonlinear quasi-periodic
arrays that are subjected to the dissipative losses and energy pumping. We find
that there is a finite excitation of oscillations threshold in both metallic
and insulating regimes. Moreover, excitation in the metallic and weakly
insulating regime displays features of the second order phase transition to
global oscillations, in contrast to disordered arrays. The Anderson attractor
regime is recovered only in the limit of strong localization. The identified
transition, and the further onset of chaos and synchronization can be
potentially realized with polariton condensates lattices and cavity-QED arrays.
