A method for semi-rectifying algebraic and differential systems using scaling type lie point symmetries with linear algebra

DOI10.1145/1837934.1837956zbMath1321.68537OpenAlexW2072155139MaRDI QIDQ2946525

Aslı Ürgüplü, François Lemaire

Publication date: 17 September 2015

Published in: Proceedings of the 2010 International Symposium on Symbolic and Algebraic Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1145/1837934.1837956

zbMATH Keywords

modelingLie point symmetriesqualitative analysis

Mathematics Subject Classification ID

Symbolic computation and algebraic computation (68W30)

Related Items (3)

Scaling invariants and symmetry reduction of dynamical systems ⋮ MABSys ⋮ Computing Sparse Representations of Systems of Rational Fractions

Uses Software

• Maple
• RegularChains
• DIFFALG
• AIDA
• Indiff

Cites Work

• Differential algebra for derivations with nontrivial commutation rules
• Generating differential invariants
• Projective-type differential invariants and geometric curve evolutions of KdV-type in flat homogeneous manifolds
• Smooth and algebraic invariants of a group action: Local and global constructions
• Differential invariants of a Lie group action: syzygies on a generating set
• Invariants différentiels d'un pseudogroupe de Lie. I
• Invariants différentiels d'un pseudogroupe de Lie. II
• Higher order contact of submanifolds of homogeneous spaces
• Moving coframes. II: Regularization and theoretical foundations
• Rational invariants of a group action. Construction and rewriting
• Differential invariants of conformal and projective surfaces
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