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Article Dans Une Revue Foundations of Computational Mathematics Année : 2013

Scaling Invariants and Symmetry Reduction of Dynamical Systems

Evelyne Hubert
George Labahn
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Résumé

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.
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Dates et versions

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

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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⟩
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