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@ARTICLE{Shreim:137996,
author = {Shreim, Amer and Grassberger, Peter and Nadler, Walter and
Samuelsson, Björn and Socolar, Joshua and Paczuski, Maya},
title = {{N}etwork {A}nalysis of the {S}tate {S}pace of {D}iscrete
{D}ynamical {S}ystems},
journal = {Physical review letters},
volume = {98},
number = {19},
issn = {1079-7114},
address = {College Park, Md.},
publisher = {APS},
reportid = {FZJ-2013-04281},
pages = {198701},
year = {2007},
abstract = {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.},
cin = {JSC},
ddc = {550},
cid = {I:(DE-Juel1)JSC-20090406},
pnm = {411 - Computational Science and Mathematical Methods
(POF2-411)},
pid = {G:(DE-HGF)POF2-411},
typ = {PUB:(DE-HGF)16},
UT = {WOS:000246413200067},
doi = {10.1103/PhysRevLett.98.198701},
url = {https://juser.fz-juelich.de/record/137996},
}