Cellular Automata: Analysis and Applications

Cellular Automata: Analysis and Applications

Hadeler, Karl-Peter; Muller, Johannes

Springer International Publishing AG

06/2017

467

Dura

Inglês

9783319530420

15 a 20 dias

This book provides an overview of the main approaches used to analyze the dynamics of cellular automata. Pattern formation is related to linear cellular automata, to the Bar-Yam model for the Turing pattern, and Greenberg-Hastings automata for excitable media.
1.Introduction.- 2.Cellular automata - basic definitions.- 3.Cantor topology of cellular automata.- 4.Besicovitch and Weyl topologies.- 5 Attractors.- 6 Chaos and Lyapunov stability.- 7 Language classification of Kurka.- 8.Turing machines, tiles, and computability.- 9 Surjectivity and injectivity of global maps.- 10.Linear Cellular Automata.- 11 Particle motion.- 12.- Pattern formation.- 13.Applications in various areas.- A.Basic mathematical tools.
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