Scaling Invariants and Symmetry Reduction of Dynamical Systems - Inria - Institut national de recherche en sciences et technologies du numérique Access content directly
Journal Articles Foundations of Computational Mathematics Year : 2013

Scaling Invariants and Symmetry Reduction of Dynamical Systems

Evelyne Hubert
George Labahn
  • Function : Author
  • PersonId : 917248

Abstract

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, rational sections (a.k.a. global cross-sections), 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.
Fichier principal
Vignette du fichier
HubertLabahn_Dyn.pdf (346.44 Ko) Télécharger le fichier
Origin : Files produced by the author(s)
Loading...

Dates and versions

hal-00668882 , version 1 (10-02-2012)
hal-00668882 , version 2 (18-10-2012)

Identifiers

Cite

Evelyne Hubert, George Labahn. Scaling Invariants and Symmetry Reduction of Dynamical Systems. Foundations of Computational Mathematics, 2013, 13 (4), pp.479-516. ⟨10.1007/s10208-013-9165-9⟩. ⟨hal-00668882v2⟩
258 View
576 Download

Altmetric

Share

Gmail Facebook X LinkedIn More