  Numerical simulation has indicated that vortex structures can exist for a
long time in the form of quantized filaments on arrays of coupled weakly
dissipative nonlinear oscillators in a finite three-dimensional domain under a
resonant external force applied at the boundary of the domain. Ranges of the
parameters of the system and an external signal favorable for the formation of
modulationally stable quasi-uniform energy background, which is a decisive
factor for the occurrence of this phenomenon, have been qualitatively revealed.
