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math.AP2024
Global Bifurcation in Symmetric Systems of Nonlinear Wave Equations
Carlos Garcia-Azpeitia, Ziad Ghanem, Wieslaw Krawcewicz
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…
math.DS2024
Patterns of Non-Stationary Solutions to Symmetric Systems of Second-Order Differential Equations
Ziad Ghanem
We establish the existence of non-stationary solutions to a symmetric system of second-order autonomous differential equations. Our technique is based on the equivariant degree the…