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most citedNumerical Continuation and Bifurcation in Nonlinear PDEs: Stability, invasion and wavetrains in the Swift-Hohenberg equation

1 citations · 1 across the 3 of their papers we have counts for

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nlin.PS2025

Global bifurcation of localised 2D patterns emerging from spatial heterogeneity

Dan J. Hill, David J. B. Lloyd, Matthew R. Turner

We present a general approach to prove the existence, both locally and globally in amplitude, of fully localised multi-dimensional patterns in partial differential equations contai…

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…