Automating Symmetry-Breaking Calculations
From MaRDI portal
Publication:4827626
DOI10.1112/S1461157000001066zbMath1053.37027OpenAlexW2021340464MaRDI QIDQ4827626
No author found.
Publication date: 18 November 2004
Published in: LMS Journal of Computation and Mathematics (Search for Journal in Brave)
Full work available at URL: http://www.lms.ac.uk/jcm/7/lms2003-009/
stabilitypattern formationsymmetry groupssymmetry-breaking bifurcationsdifferential equations with symmetry
Symmetries, invariants of ordinary differential equations (34C14) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40) Computational methods for bifurcation problems in dynamical systems (37M20)
Related Items
Uses Software
Cites Work
- Group theoretic methods in bifurcation theory. With an appendix by P. Olver
- Pattern selection with \(\mathrm{O}(3)\) symmetry
- Spontaneous symmetry breaking in higher dimensional fixed point spaces
- Symmetry and bifurcation near families of solutions
- Superlattice patterns in surface waves
- Instability and localisation of patterns due to a conserved quantity
- Shapes and cycles arising at the steady bifurcation with icosahedral symmetry
- Little groups of irreps ofO(3),SO(3), and the infinite axial subgroups
- A singularity theory analysis of bifurcation problems with octahedral symmetry
- An algebraic criterion for symmetric Hopf bifurcation
- Reducible actions ofD4 T2: superlattice patterns and hidden symmetries
- Hopf bifurcation with cubic symmetry and instability of ABC flow
- Recent Developments in Rayleigh-Bénard Convection
- Symmetry-breaking bifurcations on multidimensional fixed point subspaces
- Spatial period-multiplying instabilities of hexagonal Faraday waves
