Details

Autor(en) / Beteiligte

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

Titel

Patterns and stability of coupled multi-stable nonlinear oscillators

Ist Teil von

• Chaos, solitons and fractals, 2023-01, Vol.166, p.112999, Article 112999

Ort / Verlag

England: Elsevier Ltd

Erscheinungsjahr

2023

Quelle

Alma/SFX Local Collection

Beschreibungen/Notizen

• 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. •Synchronization and stability of coupled, driven-damped, bi-stable oscillators.•The stability of the two states to spatially non-uniform perturbations is different.•The stable states, resulting from spatial perturbations, depend on the system size.•Localized, patterned, and random structures appear as stable states of the system.