Patterns and stability of coupled multi-stable nonlinear oscillators

G. Bel, B. S. Alexandrov, A. R. Bishop, K. Rasmussen

Research output: Contribution to journalArticlepeer-review

3 Scopus citations


Nonlinear isolated and coupled oscillators are extensively studied as prototypical nonlinear dynamics models. Much attention has been devoted to oscillator synchronization or the lack thereof. Here, we study the synchronization and stability of coupled driven-damped Helmholtz–Duffing oscillators in bi-stability regimes. We find that despite the fact that the system parameters and the driving force are identical, the stability of the two states to spatially non-uniform perturbations is very different. Moreover, the final stable states, resulting from these spatial perturbations, are not solely dictated by the wavelength of the perturbing mode and take different spatial configurations in terms of the coupled oscillator phases.

Original languageEnglish
Article number112999
JournalChaos, Solitons and Fractals
StatePublished - 1 Jan 2023


  • Coupled oscillators
  • Helmholtz–Duffing
  • Instability
  • Multi-stability
  • Patterns

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • General Mathematics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics


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