Positive Dynamical Systems in Discrete Time: Theory, Models, and Applications

✍ Scribed by Krause, Ulrich

Publisher: de Gruyter
Year: 2015
Tongue: English
Leaves: 366
Series: Gruyter series in mathematics and life sciences 5
Category: Library

No coin nor oath required. For personal study only.

✦ Synopsis

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.

Abstract:

A dynamical system is positive when all relevant variables of a systemare nonnegative in a natural way. This book provides a systematic, rigorous and self-contained treatment of positive dynamical Read more...

✦ Table of Contents

Content: 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.

✦ Subjects

📜 SIMILAR VOLUMES

Positive Dynamical Systems in Discrete T

📁 Positive Dynamical Systems in Discrete Time: Theory, Models, and Applications

✍ Ulrich Krause 📂 Library 📅 2015 🏛 De Gruyter 🌐 English

<p>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

Positive Dynamical Systems in Discrete T

📁 Positive Dynamical Systems in Discrete Time: Theory, Models, and Applications

✍ Ulrich Krause 📂 Library 📅 2015 🏛 De Gruyter 🌐 English

Dynamic Economic Models in Discrete Time

📁 Dynamic Economic Models in Discrete Time: Theory and Empirical Applications

✍ Brian Ferguson 📂 Library 📅 2005 🏛 Taylor & Francis 🌐 English

This new book will be welcomed by econometricians and students of econometrics everywhere. Introducing discrete time modelling techniques and bridging the gap between economics and econometric literature, this ambitious book is sure to be an invaluable resource for all those to whom the terms unit r

Discrete Time Dynamic Economic Models: T

📁 Discrete Time Dynamic Economic Models: Theory and Empirical Applications

✍ Brian Ferguson, Guay Lim 📂 Library 📅 2003 🏛 Routledge 🌐 English

Economic behavior is inherently dynamic. While things change continuously over time, much of economic analysis is based on discrete time, such as a month, quarter or a year reflecting the periodic nature of data-collecting and decision-making. <P>This book introduces and develops the techniques

Positive Dynamical Systems in Discrete T

📁 Positive Dynamical Systems in Discrete Time

✍ Ulrich Krause 📂 Library 📅 2015 🏛 De Gruyter 🌐 English

Discrete dynamical systems and chaotic m

📁 Discrete dynamical systems and chaotic machines: theory and applications

✍ Jacques Mohcine Bahi; Christophe Guyeux 📂 Library 📅 2013 🏛 CRC Press / Taylor & Francis 🌐 English

"For computer scientists, especially those in the security field, the use of chaos has been limited to the computation of a small collection of famous but unsuitable maps that offer no explanation of why chaos is relevant in the considered contexts. Discrete Dynamical Systems and Chaotic Machines: T