商品簡介
Krause presents a systematic, rigorous, and self-contained treatment of positive dynamical systems based on analyzing the iteration of nonlinear self-mappings of a convex cone in some real vector space. He draws on the approach G. Birkhoff developed for the linear case regarding Jentzsch's Theorem in infinite dimensions, and that H. Samelson developed independently in considering Perron-Frobenius Theory in finite dimensions. The crucial point of this approach, he says, is the translation of a strong positivity property in the linear mapping into a contractivity property with respond to some metric internal to the convex cone. Annotation c2015 Ringgold, Inc., Portland, OR (protoview.com)
作者簡介
Ulrich Krause, University of Bremen, Bremen, Germany.