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Positive Dynamical Systems in Discrete Time
Theory, Models, and Applications
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Ulrich Krause
Language:
English
Published/Copyright:
2015
About this book
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)
Author / Editor information
Ulrich Krause, University of Bremen, Bremen, Germany.
Topics
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Frontmatter
i -
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Preface
vi -
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Contents
xi -
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Notation
xiv -
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List of Figures
xvi -
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1. How positive discrete dynamical systems do arise
1 -
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2. Concave Perron–Frobenius theory
21 -
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3. Internal metrics on convex cones
76 -
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4. Contractive dynamics on metric spaces
118 -
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5. Ascending dynamics in convex cones of infinite dimension
135 -
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6. Limit set trichotomy
176 -
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7. Non-autonomous positive systems
216 -
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8. Dynamics of interaction: opinions, mean maps, multi-agent coordination, and swarms
257 -
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Index
345 -
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Backmatter
349
Publishing information
Pages and Images/Illustrations in book
eBook published on:
March 10, 2015
eBook ISBN:
9783110365696
Hardcover published on:
January 19, 2015
Hardcover ISBN:
9783110369755
Pages and Images/Illustrations in book
Front matter:
15
Main content:
348
Keywords for this book
(Concave) Perron-Frobenius Theory; Nonlinear Difference Equations; Nonlinear Positive Operators; Nonautonomous Dynamical Systems; Opinion Dynamics; Iteration of Means; Swarm Dynamics
Audience(s) for this book
Researchers and graduate students in mathematics, biology, economy; academic libraries.
Safety & product resources
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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com
