Periodically Forced Nonlinear Oscillatory Acoustic Vacuum

Makrina Agaoglou, Michal Fečkan, Michal Pospíšil, Vassilis M. Rothos, Alexander F Vakakis

Research output: Contribution to journalArticle

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.

Original languageEnglish (US)
Article number69
Number of pages13
JournalAxioms
Volume7
Issue number4
DOIs
StatePublished - 2018

Keywords

  • Melnikov function
  • Nonlinear oscillatory acoustic vacuum
  • Periodic oscillations
  • Symmetry

ASJC Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Mathematical Physics
  • Logic
  • Geometry and Topology

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  • Cite this

    Agaoglou, M., Fečkan, M., Pospíšil, M., Rothos, V. M., & Vakakis, A. F. (2018). Periodically Forced Nonlinear Oscillatory Acoustic Vacuum. Axioms, 7(4), [69]. https://doi.org/10.3390/axioms7040069