Localized synchronous patterns in weakly coupled bistable oscillators
Dynamical Systems
2026-03-03 v2 Pattern Formation and Solitons
Abstract
Motivated by numerical continuation studies of coupled mechanical oscillators, we investigate branches of localized time-periodic solutions of one-dimensional chains of coupled oscillators. We focus on Ginzburg--Landau equations with nonlinearities of Lambda-Omega type and establish the existence of localized synchrony patterns in the case of weak coupling and weak-amplitude dependence of the oscillator periods. Depending on the coupling, localized synchrony patterns lie on a discrete stack of isola branches or on a single connected snaking branch.
Keywords
Cite
@article{arxiv.2409.07546,
title = {Localized synchronous patterns in weakly coupled bistable oscillators},
author = {Erik Bergland and Jason J Bramburger and Bjorn Sandstede},
journal= {arXiv preprint arXiv:2409.07546},
year = {2026}
}
Comments
17 pages, 7 figures