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

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 good...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Autor principal: Krause, Ulrich (Autor)
Formato: Electrónico eBook
Idioma:Inglés
Publicado: Berlin/Boston : De Gruyter, [2015]
Colección:De Gruyter studies in mathematics.
Temas:
Acceso en línea:Texto completo
Tabla de Contenidos:
  • 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.