English

Periodically Forced Nonlinear Oscillatory Acoustic Vacuum

Mathematical Physics 2024-01-26 v1 math.MP

Abstract

In this work, we study the in-plane oscillations of a finite lattice of particles coupled by linear springs under distributed harmonic excitation. Melnikov-type analysis is applied for the persistence of periodic oscillations of a reduced system.

Keywords

Cite

@article{arxiv.2401.14227,
  title  = {Periodically Forced Nonlinear Oscillatory Acoustic Vacuum},
  author = {Makrina Agaoglou and Michal Feckan and Michal Pospisil and Vassilis M. Rothos and Alexander F. Vakakis},
  journal= {arXiv preprint arXiv:2401.14227},
  year   = {2024}
}

Comments

11 pages

R2 v1 2026-06-28T14:27:10.305Z