Snaking bifurcations in a self-excited oscillator chain with cyclic symmetry

A. Papangelo, A. Grolet, L. Salles, N. Hoffmann, M. Ciavarella

Research output: Contribution to journalArticlepeer-review

24 Citations (Scopus)

Abstract

Snaking bifurcations in a chain of mechanical oscillators are studied. The individual oscillators are weakly nonlinear and subject to self-excitation and subcritical Hopf-bifurcations with some parameter ranges yielding bistability. When the oscillators are coupled to their neighbours, snaking bifurcations result, corresponding to localised vibration states. The snaking patterns do seem to be more complex than in previously studied continuous systems, comprising a plethora of isolated branches and also a large number of similar but not identical states, originating from the weak coupling of the phases of the individual oscillators.

Original languageEnglish
Pages (from-to)108-119
Number of pages12
JournalCommunications in Nonlinear Science and Numerical Simulation
Volume44
DOIs
Publication statusPublished - 1 Mar 2017
Externally publishedYes

Keywords

  • Bistability
  • Localised vibration
  • Nonlinear dynamics
  • Self-excitation
  • Snaking bifurcation
  • Subcritical Hopf bifurcation

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