Description |
1 online resource (xv, 348 pages) : illustrations. |
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text file PDF |
Series |
De Gruyter Studies in Mathematics ; v.62
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De Gruyter studies in mathematics.
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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. |
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 systemare 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. |
Biography |
Ulrich Krause, University of Bremen, Bremen, Germany. |
Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
Language |
In English. |
Subject |
Arithmetic -- Foundations -- Textbooks.
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Arithmetic -- Foundations. |
Genre/Form |
Textbooks.
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Subject |
Set theory -- Textbooks.
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Set theory. |
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MATHEMATICS / Functional Analysis. |
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Mathematics. |
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Physical Sciences & Mathematics. |
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Algebra. |
Genre/Form |
Dictionaries.
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Dictionaries.
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Textbooks.
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Other Form: |
Print version: 9783110369755 |
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Print version: 9783110365719 |
ISBN |
9783110365696 |
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3110365693 |
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3110391341 |
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9783110391343 (electronic book) |
Standard No. |
10.1515/9783110365696 |
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