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arXiv · 2411.05953

Global Bifurcation in Symmetric Systems of Nonlinear Wave Equations

Carlos Garcia-Azpeitia·Ziad Ghanem·Wieslaw Krawcewicz
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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 $N$ identical vibrating strings with dihedral coupling relations.

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Carlos Garcia-Azpeitia, Ziad Ghanem, Wieslaw Krawcewicz. 2024-11-08. Global Bifurcation in Symmetric Systems of Nonlinear Wave Equations. https://arxiv.org/abs/2411.05953

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