Franklin

Positive dynamical systems in discrete time : theory, models, and applications by / Ulrich Krause.

Author/Creator:
Krause, Ulrich, 1940- author.
Publication:
Berlin ; Boston : Walter de Gruyter GmbH & Co., KG, [2015]
Format/Description:
Book
1 online resource (366 p.)
Series:
De Gruyter studies in mathematics ; 62.
De Gruyter studies in mathematics ; 62
Status/Location:
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Subjects:
Arithmetic -- Foundations -- Textbooks.
Set theory -- Textbooks.
Form/Genre:
Electronic books.
Language:
English
Summary:
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)
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
Notes:
Description based upon print version of record.
Includes bibliographical references and index.
Description based on print version record.
ISBN:
3-11-036569-3
3-11-039134-1
OCLC:
1013949401
Publisher Number:
10.1515/9783110365696 doi