GROUP-THEORETIC BIFURCATION MECHANISM OF PATTERN FORMATION IN THREE-DIMENSIONAL UNIFORM MATERIALS

DOI10.1142/S0218127402006163zbMath1051.74570OpenAlexW2145076958MaRDI QIDQ4736321

Kiyohiro Ikeda, I. Saiki, Reiko J. Tanaka

Publication date: 9 August 2004

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

Full work available at URL: https://doi.org/10.1142/s0218127402006163

zbMATH Keywords

pattern formationGroup-theoretic bifurcation theorypattern simulationthree-dimensional uniform material

Mathematics Subject Classification ID

Bifurcation and buckling (74G60) Dynamical systems in solid mechanics (37N15) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

Related Items (3)

FLOWER PATTERNS APPEARING ON A HONEYCOMB STRUCTURE AND THEIR BIFURCATION MECHANISM ⋮ Diffuse mode bifurcation of soil causing convection-like shear investigated by group-theoretic image analysis ⋮ Improvement of the scaled corrector method for bifurcation analysis using symmetry-exploiting block-diagonalization

Cites Work

• Unnamed Item
• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• Echelon modes in uniform materials
• Bifurcation mechanism underlying echelon-mode formation
• Secondary bifurcations of Taylor vortices into wavy inflow or outflow boundaries
• Qualitative analysis of a model for boundary effects in the Taylor problem

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