Positive Dynamical Systems in Discrete Time
Positive Dynamical Systems in Discrete Time: Theory, Models, and Applications
De Gruyter | Mathematics | March 2015 | ISBN-10: 3110369753 | 348 pages | pdf | 3.5 mb
De Gruyter | Mathematics | March 2015 | ISBN-10: 3110369753 | 348 pages | pdf | 3.5 mb
by Ulrich Krause
De Gruyter Studies in Mathematics 62
Aims and Scope
This book provides a systematic, rigorous and self-contained treatment of positive dynamical systems. A dynamical system is positive when all relevant variables of a system are nonnegative in a natural way. This is in biology, demography or economics, where the levels of populations or prices of goods are positive. The principle also finds application in electrical engineering, physics and computer sciences.
"The author has greatly expanded the field of positive systems in surprising ways." - Prof. Dr. David G. Luenberger, Stanford University(USA)
Topics:
Analysis
TABLE OF CONTENTS
Frontmatter
Preface
Contents
Notation
List of Figures
1. How positive discrete dynamical systems do arise
2. Concave Perron–Frobenius theory
3. Internal metrics on convex cones
4. Contractive dynamics on metric spaces
5. Ascending dynamics in convex cones of infinite dimension
6. Limit set trichotomy
7. Non-autonomous positive systems
8. Dynamics of interaction: opinions, mean maps, multi-agent coordination, and swarms
Index
Backmatter
More info and Hardcover at De Gruyter
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