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 ,
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| Physical Description: | 1 online resource (348 p.) |
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Krause, Ulrich, author. aut http://id.loc.gov/vocabulary/relators/aut Positive Dynamical Systems in Discrete Time : Theory, Models, and Applications / Ulrich Krause. Berlin ; Boston : De Gruyter, [2015] ©2015 1 online resource (348 p.) text txt rdacontent computer c rdamedia online resource cr rdacarrier text file PDF rda De Gruyter Studies in Mathematics , 0179-0986 ; 62 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 restricted access http://purl.org/coar/access_right/c_16ec online access with authorization star 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) Issued also in print. Mode of access: Internet via World Wide Web. In English. Description based on online resource; title from PDF title page (publisher's Web site, viewed 28. Feb 2023) Arithmetic Foundations Textbooks. Set theory Textbooks. Nichtlineare Differenzengleichungen. Nichtlineare positive Operatoren. Perron-Frobenius Theorie. Positive Dynamische Systeme. MATHEMATICS / Functional Analysis. bisacsh (Concave) Perron-Frobenius Theory. Iteration of Means. Nonautonomous Dynamical Systems. Nonlinear Difference Equations. Nonlinear Positive Operators. Opinion Dynamics. Swarm Dynamics. Title is part of eBook package: De Gruyter DG Plus DeG Package 2015 Part 1 9783110762518 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2015 9783110700985 Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package 9783110494938 ZDB-23-GSM Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2015 9783110439687 ZDB-23-DGG Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2015 9783110438765 ZDB-23-DMA EPUB 9783110391343 print 9783110369755 https://doi.org/10.1515/9783110365696 https://www.degruyter.com/isbn/9783110365696 Cover https://www.degruyter.com/document/cover/isbn/9783110365696/original |
| language |
English |
| format |
eBook |
| author |
Krause, Ulrich, Krause, Ulrich, |
| spellingShingle |
Krause, Ulrich, Krause, Ulrich, Positive Dynamical Systems in Discrete Time : Theory, Models, and Applications / De Gruyter Studies in Mathematics , 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 |
| author_facet |
Krause, Ulrich, Krause, Ulrich, |
| author_variant |
u k uk u k uk |
| author_role |
VerfasserIn VerfasserIn |
| author_sort |
Krause, Ulrich, |
| title |
Positive Dynamical Systems in Discrete Time : Theory, Models, and Applications / |
| title_sub |
Theory, Models, and Applications / |
| title_full |
Positive Dynamical Systems in Discrete Time : Theory, Models, and Applications / Ulrich Krause. |
| title_fullStr |
Positive Dynamical Systems in Discrete Time : Theory, Models, and Applications / Ulrich Krause. |
| title_full_unstemmed |
Positive Dynamical Systems in Discrete Time : Theory, Models, and Applications / Ulrich Krause. |
| title_auth |
Positive Dynamical Systems in Discrete Time : Theory, Models, and Applications / |
| title_alt |
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 |
| title_new |
Positive Dynamical Systems in Discrete Time : |
| title_sort |
positive dynamical systems in discrete time : theory, models, and applications / |
| series |
De Gruyter Studies in Mathematics , |
| series2 |
De Gruyter Studies in Mathematics , |
| publisher |
De Gruyter, |
| publishDate |
2015 |
| physical |
1 online resource (348 p.) Issued also in print. |
| 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 |
| isbn |
9783110365696 9783110762518 9783110700985 9783110494938 9783110439687 9783110438765 9783110391343 9783110369755 |
| issn |
0179-0986 ; |
| callnumber-first |
Q - Science |
| callnumber-subject |
QA - Mathematics |
| callnumber-label |
QA248 |
| callnumber-sort |
QA 3248.3 U47 42015 |
| genre_facet |
Textbooks. |
| url |
https://doi.org/10.1515/9783110365696 https://www.degruyter.com/isbn/9783110365696 https://www.degruyter.com/document/cover/isbn/9783110365696/original |
| illustrated |
Not Illustrated |
| dewey-hundreds |
500 - Science |
| dewey-tens |
510 - Mathematics |
| dewey-ones |
515 - Analysis |
| dewey-full |
515/.39 |
| dewey-sort |
3515 239 |
| dewey-raw |
515/.39 |
| dewey-search |
515/.39 |
| doi_str_mv |
10.1515/9783110365696 |
| oclc_num |
904457981 |
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AT krauseulrich positivedynamicalsystemsindiscretetimetheorymodelsandapplications |
| status_str |
n |
| ids_txt_mv |
(DE-B1597)428180 (OCoLC)904457981 |
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cr |
| hierarchy_parent_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2015 Part 1 Title is part of eBook package: De Gruyter DG Plus eBook-Package 2015 Title is part of eBook package: De Gruyter DG Studies in Mathematics eBook-Package Title is part of eBook package: De Gruyter EBOOK PACKAGE COMPLETE 2015 Title is part of eBook package: De Gruyter EBOOK PACKAGE Mathematics 2015 |
| is_hierarchy_title |
Positive Dynamical Systems in Discrete Time : Theory, Models, and Applications / |
| container_title |
Title is part of eBook package: De Gruyter DG Plus DeG Package 2015 Part 1 |
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1770177584153231360 |
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