Year: 1996
Type: book-chapter
Abstract: While at first glance seemingly obvious, the number of variables in a model is not a priori fixed. For mathematical purposes, it is oftentimes convenient to reduce the number of variables to a minimum, but such reduction sometimes obscures meaning and insight and is not always computationally optimal. This is demonstrated with a special class of nonlinear differential equations, called S-systems, whose specific mathematical structure makes reduction as well as expansion of models translucent. The reduction shown here is based on the determination of Lie groups of scaling transformations, while the expansion is based on equivalent recasting. The Lie reduction constitutes the inverse operation to the recasting of multinomial systems.
Source: De Gruyter eBooks
Author: Eberhard Voit
Language: English
Subfield: Modeling and Simulation
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2368761694