Normal form for the (2;n)-nilpotent vector field, using invariant theory

DOI10.1016/0167-2789(88)90028-0zbMath0649.34053OpenAlexW2070816385MaRDI QIDQ1105762

S. H. Smith

Publication date: 1988

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

Full work available at URL: https://doi.org/10.1016/0167-2789(88)90028-0

zbMATH Keywords

straightening algorithmStanley decompositionbracket algebra

Mathematics Subject Classification ID

Nonlinear ordinary differential equations and systems (34A34) Dynamical systems and ergodic theory (37-XX)

Related Items

On the structure of nilpotent normal form modules, Normal form for the (2;n)-nilpotent vector field, using invariant theory, Stanley decomposition of the joint covariants of three quadratics, Computing combinatorial decompositions of rings, Minimal normal forms in harmonic oscillations with small nonlinear perturbations, Block Stanley decompositions. II: Greedy algorithms, applications, and open problems, Vector potential normal form classification for completely integrable solenoidal nilpotent singularities, Invariant manifolds of an autonomous ordinary differential equation from its generalized normal forms, Normal forms of vector fields with perturbation parameters and their application, Stanley Decomposition for Coupled Takens–Bogdanov Systems, Block Stanley decompositions. I: Elementary and gnomon decompositions, Normal Forms for Coupled Takens-Bogdanov Systems

Cites Work

• Normal form for the (2;n)-nilpotent vector field, using invariant theory
• The invariant theory of binary forms
• Introduction to Lie Algebras and Representation Theory
• Combinatorics and commutative algebra
• Averaging methods in nonlinear dynamical systems
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