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math.AP2025
Exponential Dichotomies for Elliptic Equations on Multidimensional Domains
Margaret Beck, Ryan Goh, Alanna Haslam-Hyde
The existence of exponential dichotomies has been well-established as a powerful tool to study existence, stability, and bifurcations of coherent structures. Currently, the applica…
nlin.PS2025★ 1 cited
Numerical Continuation and Bifurcation in Nonlinear PDEs: Stability, invasion and wavetrains in the Swift-Hohenberg equation
David Lloyd, Ryan Goh, Jens D. M. Rademacher
We discuss some aspects of numerical continuation and bifurcation for partial differential equations, specifically pattern formation and coherent structures. For the sake of clarit…