Positive Dynamical Systems in Discrete Time : : Theory, Models, and Applications / / Ulrich Krause.
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 goo...
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| Superior document: | Title is part of eBook package: De Gruyter DG Plus DeG Package 2015 Part 1 |
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| Place / Publishing House: | Berlin ;, Boston : : De Gruyter, , [2015] ©2015 |
| Year of Publication: | 2015 |
| Language: | English |
| Series: | De Gruyter Studies in Mathematics ,
62 |
| Online Access: | |
| Physical Description: | 1 online resource (348 p.) |
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| 100 | 1 | |a Krause, Ulrich, |e author. |4 aut |4 http://id.loc.gov/vocabulary/relators/aut | |
| 245 | 1 | 0 | |a Positive Dynamical Systems in Discrete Time : |b Theory, Models, and Applications / |c Ulrich Krause. |
| 264 | 1 | |a Berlin ; |a Boston : |b De Gruyter, |c [2015] | |
| 264 | 4 | |c ©2015 | |
| 300 | |a 1 online resource (348 p.) | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 347 | |a text file |b PDF |2 rda | ||
| 490 | 0 | |a De Gruyter Studies in Mathematics , |x 0179-0986 ; |v 62 | |
| 505 | 0 | 0 | |t Frontmatter -- |t Preface -- |t Contents -- |t Notation -- |t List of Figures -- |t 1. How positive discrete dynamical systems do arise -- |t 2. Concave Perron–Frobenius theory -- |t 3. Internal metrics on convex cones -- |t 4. Contractive dynamics on metric spaces -- |t 5. Ascending dynamics in convex cones of infinite dimension -- |t 6. Limit set trichotomy -- |t 7. Non-autonomous positive systems -- |t 8. Dynamics of interaction: opinions, mean maps, multi-agent coordination, and swarms -- |t Index -- |t Backmatter |
| 506 | 0 | |a restricted access |u http://purl.org/coar/access_right/c_16ec |f online access with authorization |2 star | |
| 520 | |a 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) | ||
| 530 | |a Issued also in print. | ||
| 538 | |a Mode of access: Internet via World Wide Web. | ||
| 546 | |a In English. | ||
| 588 | 0 | |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) | |
| 650 | 0 | |a Arithmetic |x Foundations |v Textbooks. | |
| 650 | 0 | |a Set theory |v Textbooks. | |
| 650 | 4 | |a Nichtlineare Differenzengleichungen. | |
| 650 | 4 | |a Nichtlineare positive Operatoren. | |
| 650 | 4 | |a Perron-Frobenius Theorie. | |
| 650 | 4 | |a Positive Dynamische Systeme. | |
| 650 | 7 | |a MATHEMATICS / Functional Analysis. |2 bisacsh | |
| 653 | |a (Concave) Perron-Frobenius Theory. | ||
| 653 | |a Iteration of Means. | ||
| 653 | |a Nonautonomous Dynamical Systems. | ||
| 653 | |a Nonlinear Difference Equations. | ||
| 653 | |a Nonlinear Positive Operators. | ||
| 653 | |a Opinion Dynamics. | ||
| 653 | |a Swarm Dynamics. | ||
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| 773 | 0 | 8 | |i Title is part of eBook package: |d De Gruyter |t EBOOK PACKAGE Mathematics 2015 |z 9783110438765 |o ZDB-23-DMA |
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| 776 | 0 | |c print |z 9783110369755 | |
| 856 | 4 | 0 | |u https://doi.org/10.1515/9783110365696 |
| 856 | 4 | 0 | |u https://www.degruyter.com/isbn/9783110365696 |
| 856 | 4 | 2 | |3 Cover |u https://www.degruyter.com/document/cover/isbn/9783110365696/original |
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