On essential nonlinearities emerging from linear systems

Research output: Contribution to journalArticlepeer-review

Abstract

We present a simple mechanical set-up that, unlike the typical setting wherein the geometric effects induce a weakly non-linear response, induces an essentially nonlinear response in a materially linear system to the effect that even a slight excitation induces an essentially nonlinear response. It supports formation of breathers or travelling waves which are strongly localized in the discrete realm and strictly compact in its continuum representation. We also contrast the presented model with a recently introduced ladder model wherein the nonlinearity due to geometry is weakly nonlinear.

Original languageEnglish
Article number102881
JournalWave Motion
Volume110
DOIs
StatePublished - Mar 2022

Keywords

  • Compact breathers
  • Essentially nonlinear model
  • Nonlinear wave equations

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