Automatic classification of normal forms
From MaRDI portal
Publication:4259685
DOI10.1016/S0362-546X(97)00598-1zbMath0947.34023MaRDI QIDQ4259685
Karin Gatermann, Reiner Lauterbach
Publication date: 30 August 1999
Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)
Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Singularities in algebraic geometry (14B05) Bifurcation theory for ordinary differential equations (34C23) Gröbner bases; other bases for ideals and modules (e.g., Janet and border bases) (13P10) Symmetries, equivariance on manifolds (58K70)
Related Items (6)
Path formulation for multiparameter \(\mathbb D_3\)-equivariant bifurcation problems ⋮ Computational algebra for bifurcation theory ⋮ Mode decomposition of global bifurcation diagram with Gröbner bases ⋮ Preface ⋮ Gröbner bases, invariant theory and equivariant dynamics ⋮ Numerical detection of symmetry breaking bifurcation points with nonlinear degeneracies
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Post-buckling behavior of a nonlinearly hyperelastic thin rod with cross- section invariant under the dihedral group \(D_ n\)
- Determinacy and unipotency
- Singularities and groups in bifurcation theory. Volume I
- Perturbation methods, bifurcation theory and computer algebra
- Solving zero-dimensional algebraic systems
- Comprehensive Gröbner bases
- Singularities and groups in bifurcation theory. Volume II
- Zeros of equivariant vector fields: Algorithms for an invariant approach
- Semi-invariants, equivariants and algorithms
- Stability of \(C^ \infty\) mappings. III: Finitely determined map germs
- Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
- Coupled stationary bifurcations in non-flux boundary value problems
- Algorithms in invariant theory
This page was built for publication: Automatic classification of normal forms