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nlin.PS 1

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Global bifurcation of localised 2D patterns emerging from spatial heterogeneity

nlin.PS · 2025-10-03 · unverdicted · novelty 6.0

Proves local bifurcation branches of fully localised 2D patterns in the Swift-Hohenberg equation with radially symmetric heterogeneity and continues them globally in amplitude, with the primary branch alternating between axisymmetric spots and non-axisymmetric dipoles.

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  • Global bifurcation of localised 2D patterns emerging from spatial heterogeneity nlin.PS · 2025-10-03 · unverdicted · none · ref 3

    Proves local bifurcation branches of fully localised 2D patterns in the Swift-Hohenberg equation with radially symmetric heterogeneity and continues them globally in amplitude, with the primary branch alternating between axisymmetric spots and non-axisymmetric dipoles.