$\sqrt{5}:2$ MODE INTERACTIONS ON A SQUARE LATTICE

DOI10.1142/S0218127404011788zbMath1090.37550OpenAlexW1951599158MaRDI QIDQ5474143

David M. Winterbottom

Publication date: 23 June 2006

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127404011788

zbMATH Keywords

pattern formationsquare latticehexagonssquare-symmetric patterns

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Bifurcations in context of PDEs (35B32) Normal forms, center manifold theory, bifurcation theory for infinite-dimensional dissipative dynamical systems (37L10)

Related Items (1)

Bifurcations and Dynamics Emergent From Lattice and Continuum Models of Bioactive Porous Media

Cites Work

• Bifurcation on the hexagonal lattice and the planar Bénard problem
• The interaction of two spatially resonant patterns in thermal convection. Part 1. Exact 1:2 resonance
• Stability results for steady, spatially periodic planforms
• Reducible actions ofD₄ T²: superlattice patterns and hidden symmetries
• Recent Developments in Rayleigh-Bénard Convection
• Compressible magnetoconvection in three dimensions: planforms and nonlinear behaviour
• Pattern formation outside of equilibrium

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