Application of ordered standard bases to catastrophe theory

DOI10.1016/0747-7171(92)90008-RzbMath0751.68030OpenAlexW2022896058MaRDI QIDQ1186706

Robert G. Cowell

Publication date: 28 June 1992

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

Full work available at URL: https://doi.org/10.1016/0747-7171(92)90008-r

zbMATH Keywords

Gröbner basisBoardman symbolsordered standard basis

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30) Catastrophe theory (58K35)

Uses Software

• Catfact

Cites Work

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• Explicit iterative algorithms to reduce a univariate catastrophe to normal form
• Constructing universal unfoldings using Gröbner bases
• Ein algorithmisches Kriterium für die Lösbarkeit eines algebraischen Gleichungssystems
• Resolution of singularities of an algebraic variety over a field of characteristic zero. I
• Truncation criteria and algorithm for the reduction to normal form of catastrophe unfoldings - I. Singularities with zero rank
• On the exact reduction of a univariate catastrophe to normal form
• Catfact: Computer algebraic tools for applications of catastrophe theory

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