Scaling Invariants and Symmetry Reduction of Dynamical Systems

Evelyne Hubert (1) , George Labahn (2)

1 GALAAD - Geometry, algebra, algorithms
2 SCG - Symbolic Computation Group

Scalings form a class of group actions that have theoretical and practical importance. A scaling is accurately described by a matrix of integers. Tools from linear algebra over the integers are exploited to compute their invariants and offer an algorithmic scheme for the symmetry reduction of dynamical systems. A special case of the symmetry reduction algorithm applies to reduce the number of parameters in physical, chemical or biological models.

Mots clés: Dimensional analysis; Scaling; Group actions; Rational invariants; Matrix normal form; Model reduction; Dimensional analysis.

Domaines: Calcul formel [cs.SC]

Evelyne Hubert, George Labahn. Scaling Invariants and Symmetry Reduction of Dynamical Systems. 2012. ⟨hal-00668882v1⟩