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Network analysis of the state space of discrete dynamical systems

Författare:
  • Amer Shreim
  • Peter Grassberger (Professor)
  • Walter Nadler
  • Björn Samuelsson
  • Joshua E. S. Socolar (Professor)
  • Maya Paczuski (Professor)
Publiceringsår: 2007
Språk: Engelska
Sidor:
Publikation/Tidskrift/Serie: Physical review letters
Volym: 98
Nummer: 19
Dokumenttyp: Artikel
Förlag: American Physical Society

Sammanfattning

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.

Disputation

Nyckelord

  • Mathematics and Statistics
  • Physics and Astronomy

Övriga

Published
Yes
  • ISSN: 1079-7114
  • ISSN: 0031-9007

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