Organization of Spatially Localized Structures near a Codimension-Three Cusp-Turing Bifurcation
DOI10.1137/22m1514234zbMath1527.35052arXiv2208.04009MaRDI QIDQ6084959
Edgar Knoblauch, Fahad Al Saadi, Damià Gomila, Unnamed Author, Alan R. Champneys
Publication date: 2 December 2023
Published in: SIAM Journal on Applied Dynamical Systems (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/2208.04009
one space dimensionspatial localizationbifurcation structurenecking bifurcationcodimension-three singularitycollapsed homoclinic snakingequations of Swift--Hohenberg typestandard homoclinic snaking
Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10) Higher-order parabolic equations (35K25) Semilinear parabolic equations (35K58) Pattern formations in context of PDEs (35B36)
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