Patterns and Stability of Coupled Multi-Stable Nonlinear Oscillators
Pattern Formation and Solitons
2023-01-04 v1 Chaotic Dynamics
Abstract
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.
Cite
@article{arxiv.2208.11748,
title = {Patterns and Stability of Coupled Multi-Stable Nonlinear Oscillators},
author = {Golan Bel and Boian S. Alexandrov and Alan R. Bishop and Kim Ø. Rasmussen},
journal= {arXiv preprint arXiv:2208.11748},
year = {2023}
}