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.
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References in zbMATH (referenced in 4 articles , 1 standard article )
Showing results 1 to 4 of 4.
- Lemaire, François; Temperville, Alexandre: Computing sparse representations of systems of rational fractions (2016)
- Hubert, Evelyne; Labahn, George: Scaling invariants and symmetry reduction of dynamical systems (2013)
- Lemaire, François; Ürgüplü, Asli: MABSys: Modeling and analysis of biological systems (2012)
- Lemaire, François; Ürgüplü, Asli: A method for semi-rectifying algebraic and differential systems using scaling type Lie point symmetries with linear algebra (2010)