Scaling invariants and symmetry reduction of dynamical systems

DOI10.1007/s10208-013-9165-9zbMath1284.34045OpenAlexW2007215420MaRDI QIDQ372874

George Labahn, Evelyne Hubert

Publication date: 21 October 2013

Published in: Foundations of Computational Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10208-013-9165-9

zbMATH Keywords

group actionsmodel reductionsymmetry reductiondimensional analysisequivariant moving framematrix normal formrational invariants

Mathematics Subject Classification ID

Transformation and reduction of ordinary differential equations and systems, normal forms (34C20) Symmetries, invariants of ordinary differential equations (34C14) Population dynamics (general) (92D25) Software, source code, etc. for problems pertaining to linear algebra (15-04) Software, source code, etc. for problems pertaining to ordinary differential equations (34-04)

Related Items

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Uses Software

• Maple
• MABSys

Cites Work

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• Integrating scalar ordinary differential equations with symmetry revisited
• Smooth and algebraic invariants of a group action: Local and global constructions
• Moving coframes. II: Regularization and theoretical foundations
• Mathematical biology. Vol. 1: An introduction.
• Computer algebra methods for equivariant dynamical systems
• Normal forms for general polynomial matrices
• Rational invariants of a group action. Construction and rewriting
• The computation of invariant fields and a constructive version of a theorem by Rosenlicht
• Exterior differential systems with symmetry
• A method for semi-rectifying algebraic and differential systems using scaling type lie point symmetries with linear algebra
• Extended GCD and Hermite Normal Form Algorithms via Lattice Basis Reduction
• Rational invariants of scalings from Hermite normal forms
• Reduction of Algebraic Parametric Systems by Rectification of Their Affine Expanded Lie Symmetries
• The Response Analysis of Linear Multivariable Systems by an Extension of the Serial/Matrix Technique