Discrete breathers and Anderson modes: two faces of the same phenomenon?

Time-periodic localized oscillations occur in a variety of contexts, in par ticular in weakly coupled anharmonic lattices and in disordered harmonic ne tworks of oscillators, where they are known respectively as discrete breath ers and Anderson modes. It is shown numerically in some examples of systems which interpolate between these two limits that discrete breathers can be continued to Anderson modes, module small jumps associated with resonance w ith Anderson modes on Ether parts of the network. (C) 1999 Elsevier Science B.V. All rights reserved.