Skip to Main content Skip to Navigation
New interface
Journal articles

Scaling Invariants and Symmetry Reduction of Dynamical Systems

Evelyne Hubert 1 George Labahn 2 
1 GALAAD - Geometry, algebra, algorithms
CRISAM - Inria Sophia Antipolis - Méditerranée , UNS - Université Nice Sophia Antipolis (1965 - 2019), CNRS - Centre National de la Recherche Scientifique : UMR6621
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.
Document type :
Journal articles
Complete list of metadata

Cited literature [31 references]  Display  Hide  Download

https://hal.inria.fr/hal-00668882
Contributor : Evelyne Hubert Connect in order to contact the contributor
Submitted on : Thursday, October 18, 2012 - 11:37:52 AM
Last modification on : Thursday, August 4, 2022 - 4:52:37 PM
Long-term archiving on: : Saturday, January 19, 2013 - 3:37:03 AM

File

HubertLabahn_Dyn.pdf
Files produced by the author(s)

Identifiers

Collections

Citation

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⟩

Share

Metrics

Record views

257

Files downloads

532