Discrete Vortex Filaments on Arrays of Coupled Oscillators in the Nonlinear Resonant Mode

Abstract

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.