English

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

Pattern Formation and Solitons 2020-12-11 v2 Classical Physics

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.

Keywords

Cite

@article{arxiv.2009.08106,
  title  = {Discrete Vortex Filaments on Arrays of Coupled Oscillators in the Nonlinear Resonant Mode},
  author = {Victor P. Ruban},
  journal= {arXiv preprint arXiv:2009.08106},
  year   = {2020}
}

Comments

revtex, 7 pages, 16 figures, English translation of Russian original