Global Bifurcation in Symmetric Systems of Nonlinear Wave Equations

2024/11/08 by Carlos García-Azpeitia, Ziad Ghanem, Garcia-Azpeitia, Carlos +3 · 1 citation
Computer Science · Physics and Astronomy · #Analysis of PDEs (math.AP) #FOS: Mathematics #Nonlinear Dynamics and Pattern Formation #Nonlinear Photonic Systems #Nonlinear Waves and Solitons

paper · pdf · doi:10.48550/arxiv.2411.05953

openalex publication_date 2024/11/08 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

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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