Toric geometry and equivariant bifurcations.

DOI10.1016/S0167-2789(00)00104-4zbMath1098.34536OpenAlexW1975697282WikidataQ126807960 ScholiaQ126807960MaRDI QIDQ1587737

Ana Paula S. Dias, I. N. Stewart

Publication date: 2000

Published in: Physica D (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0167-2789(00)00104-4

zbMATH Keywords

Equivariant bifurcationEuclidean-invariantToric geometry

Mathematics Subject Classification ID

Toric varieties, Newton polyhedra, Okounkov bodies (14M25) Bifurcation theory for ordinary differential equations (34C23) Actions of groups on commutative rings; invariant theory (13A50) Dynamical aspects of symmetries, equivariant bifurcation theory (37G40)

Cites Work

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• Group theoretic methods in bifurcation theory. With an appendix by P. Olver
• Symmetry and nodal properties in the global bifurcation analysis of quasi-linear elliptic equations
• Hilbert series for torus actions
• Singularities and groups in bifurcation theory. Volume I
• Normal forms for driven surface waves: Boundary conditions, symmetry, and genericity
• Hidden symmetry of fully nonlinear boundary conditions in elliptic equations: Global bifurcation and nodal structure
• Singularities and groups in bifurcation theory. Volume II
• Constructive invariant theory for tori
• Zeros of equivariant vector fields: Algorithms for an invariant approach
• Bifurcations of stationary, standing and travelling waves in triply diffusive convection
• Invariant theory for wreath product groups
• Hilbert series for equivariant mappings restricted to invariant hyperplanes
• Linear homogeneous Diophantine equations and magic labelings of graphs
• Introduction to Toric Varieties. (AM-131)
• The effect of sidewall imperfections on pattern formation in Lapwood convection
• Symmetry and Stability in Taylor-Couette Flow
• Coupled stationary bifurcations in non-flux boundary value problems
• Modal exchange mechanisms in Lapwood convection
• THE GEOMETRY OF TORIC VARIETIES
• Hidden symmetries of parametrically forced waves
• Steady-state bifurcation with Euclidean symmetry
• D₄+T²mode interactions and hidden rotational symmetry
• The Classification of Bifurcations with Hidden Symmetries
• Steady PDEs on generalized rectangles: a change of genericity in mode interactions
• Hidden symmetries and pattern formation in Lapwood convection
• Algorithms in invariant theory