Discrete Systems With Memory.

Memory is a universal function of organized matter. What is the mathematics of memory? How does memory affect the space-time behaviour of spatially extended systems? Does memory increase complexity? This book provides answers to these questions. It focuses on the study of spatially extended systems,...

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Detalles Bibliográficos
Clasificación:Libro Electrónico
Formato: Electrónico eBook
Idioma:Inglés
Publicado: WSPC 2011.
Temas:
Cellular automata > Mathematical models.
Discrete-time systems > Mathematical models.
Dynamics.
Automates cellulaires > Modèles mathématiques.
Systèmes échantillonnés > Modèles mathématiques.
Dynamique.
kinetics (dynamics)
Cellular automata > Mathematical models
Discrete-time systems > Mathematical models
Dynamics
Electronic resource.
Acceso en línea:Texto completo
Tabla de Contenidos:
  • Preface
  • Chapter 1 Cellular Automata and memory
  • 1.1 Cellular Automata
  • 1.2 Memory
  • Disclaimer
  • Chapter 2 Average type memory
  • 2.1 Average memory
  • 2.2 Two-dimensional lattices
  • 2.2.1 Totalistic rules
  • 2.2.2 LIFE
  • 2.3 One-dimensional layers
  • 2.3.1 Elementary rules
  • 2.3.2 Nearest and next-nearest neighbors
  • Chapter 3 Other memories
  • 3.1 Average-like memory
  • 3.2 Limited trailing memory
  • 3.3 Majority of the last three state memory
  • 3.4 Elementary rules as memory
  • 3.5 Minimal memory
  • Chapter 4 Asynchrony and probabilistic rules
  • 4.1 Asynchrony
  • 4.2 Probabilistic rules
  • Chapter 5 Cycles and random sequences
  • 5.1 Cycles
  • 5.2 Random number generation by CA
  • Chapter 6 Three state automata
  • 6.1 Totalistic rules
  • 6.2 Excitable systems
  • Chapter 7 Reversible dynamics
  • 7.1 Characterization
  • 7.2 Reversible rules with memory
  • Chapter 8 Block cellular automata
  • 8.1 Characterization
  • 8.2 Density classification task
  • Chapter 9 Structurally dynamic systems
  • 9.1 Introduction
  • 9.1.1 Reversible SDCA
  • 9.2 SDCA with memory
  • 9.2.1 Two state SDCA with memory
  • 9.2.2 Three state SDCA
  • Chapter 10 Boolean networks
  • 10.1 Automata on networks
  • 10.2 Boolean networks
  • 10.3 Automata on proximity graphs
  • Chapter 11 Coupled layers
  • 11.1 Coupled cellular automata
  • 11.2 Coupled Boolean networks
  • Chapter 12 Continuous state variable
  • 12.1 Continuous-valued automata
  • 12.2 Finite difference equations
  • 12.2.1 One-dimensional maps
  • 12.2.2 Two-dimensional maps
  • 12.3 Plane curves
  • 12.4 Stochastic processes
  • Chapter 13 Spatial games
  • 13.1 The prisoner's dilemma
  • 13.2 Degrees of cooperation and strategies
  • 13.3 The structurally dynamic PD (SDPD)
  • 13.4 Pavlov versus anti-Pavlov (PAP) in the PD
  • 13.5 Other spatial games
  • Appendix A Average memory starting at random.
  • Appendix B Dynamic with short-term memory
  • Appendix C Heterogeneous and coupled networks
  • Appendix D Continuous state variable
  • Appendix E Spatial games
  • Bibliography
  • List of Figures
  • List of Tables
  • Index.

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