MABSys swMATH ID: 13398 Software Authors: Lemaire, François; Ürgüplü, Asli Description: A method for semi-rectifying algebraic and differential systems using scaling type Lie point symmetries with linear algebra We present two new algorithms based on Lie symmetries that respectively allow to semi-rectify algebraic systems and reduce the number of parameters on which the steady points of a differential system depend. These algorithms facilitate the qualitative analysis of algebraic and differential systems. They are designed with a strong view towards applications, such as modeling in biology. Their implementation, already available in our MABSys package, is of polynomial time complexity in the input size. Homepage: http://www.lifl.fr/~lemaire/MABSys/ Keywords: Lie point symmetries; modeling; qualitative analysis Related Software: RegularChains; Indiff; AIDA; Maple; DIFFALG; ExpandedLiePointSymmetry Cited in: 4 Publications Standard Articles 1 Publication describing the Software, including 1 Publication in zbMATH Year A method for semi-rectifying algebraic and differential systems using scaling type Lie point symmetries with linear algebra. Zbl 1321.68537Lemaire, François; Ürgüplü, Asli 2010 Cited by 5 Authors 3 Lemaire, François 2 Ürgüplü, Aslı 1 Hubert, Evelyne 1 Labahn, George 1 Temperville, Alexandre Cited in 1 Serial 1 Foundations of Computational Mathematics all top 5 Cited in 6 Fields 2 Biology and other natural sciences (92-XX) 1 Commutative algebra (13-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Real functions (26-XX) 1 Ordinary differential equations (34-XX) 1 Computer science (68-XX) Citations by Year