Zeros of equivariant vector fields: Algorithms for an invariant approach

DOI10.1006/jsco.1994.1031zbMath0819.13013OpenAlexW2013548162MaRDI QIDQ1338739

Patrick A. Worfolk

Publication date: 20 November 1994

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://semanticscholar.org/paper/1117578d4e8cfa4eb964588d71849cf35022ba0f

zbMATH Keywords

Gröbner basesinvariant theoryequivariant bifurcationequivariant vector fieldsalgorithm to compute the set of zeroessystem of polynomial equations with symmetries

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Ordinary representations and characters (20C15) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Actions of groups on commutative rings; invariant theory (13A50)

Related Items

Symmetry groups, semidefinite programs, and sums of squares, Heteroclinic cycles and wreath product symmetries, Automatic classification of normal forms, Solving a system of algebraic equations with symmetries, Invariants and relative invariants under compact Lie groups, Automorphism groups and invariant theory on ℙN, Computation of affine covariants of quadratic bivariate differential systems, Invariant algebraic sets and symmetrization of polynomial systems, Resultant of an equivariant polynomial system with respect to the symmetric group, Evaluation properties of invariant polynomials, Gröbner bases, invariant theory and equivariant dynamics, On the zero set of G-equivariant maps, Hilbert series for equivariant mappings restricted to invariant hyperplanes, Toric geometry and equivariant bifurcations., Symmetry, invariants, topology. Basic tools, Universal approximations of invariant maps by neural networks

Uses Software

• Maple