Global Bifurcation in Symmetric Systems of Nonlinear Wave Equations
Analysis of PDEs
2024-11-12 v1
Abstract
In this paper, we use the equivariant degree theory to establish a global bifurcation result for the existence of non-stationary branches of solutions to a nonlinear, two-parameter family of hyperbolic wave equations with local delay and non-trivial damping. As a motivating example, we consider an application of our result to a system of identical vibrating strings with dihedral coupling relations.
Keywords
Cite
@article{arxiv.2411.05953,
title = {Global Bifurcation in Symmetric Systems of Nonlinear Wave Equations},
author = {Carlos Garcia-Azpeitia and Ziad Ghanem and Wieslaw Krawcewicz},
journal= {arXiv preprint arXiv:2411.05953},
year = {2024}
}