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Network analysis of the state space of discrete dynamical systems

På svenska

Author

  • Amer Shreim
  • Peter Grassberger
  • Walter Nadler
  • Björn Samuelsson
  • Joshua E. S. Socolar
  • Maya Paczuski

Summary, in English

We study networks representing the dynamics of elementary 1D cellular automata (CA) on finite lattices. We analyze scaling behaviors of both local and global network properties as a function of system size. The scaling of the largest node in-degree is obtained analytically for a variety of CA including rules 22, 54, and 110. We further define the path diversity as a global network measure. The coappearance of nontrivial scaling in both the hub size and the path diversity separates simple dynamics from the more complex behaviors typically found in Wolfram’s class IV and some class III CA.

Publishing year

2007

Language

English

Publication/Series

Physical Review Letters

Volume

98

Issue

19

Document type

Journal article

Publisher

American Physical Society

Topic

  • Zoology
  • Electrical Engineering, Electronic Engineering, Information Engineering

Status

Published

ISBN/ISSN/Other

  • ISSN: 1079-7114