Network Analysis of the State Space of Discrete Dynamical Systems
نویسندگان
چکیده
منابع مشابه
Network Analysis of the State Space of Discrete Dynamical Systems
Amer Shreim, Peter Grassberger, Walter Nadler, Björn Samuelsson, Joshua E. S. Socolar, and Maya Paczuski Complexity Science Group, Department of Physics and Astronomy, University of Calgary, Calgary, Alberta, Canada Department of Physics, Michigan Technological University, Houghton, Michigan, USA Department of Physics, Duke University, Durham, North Carolina, USA (Received 20 October 2006; publ...
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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 ...
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Extended State-Space Model of Discrete- Time Dynamical Systems
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ژورنال
عنوان ژورنال: Physical Review Letters
سال: 2007
ISSN: 0031-9007,1079-7114
DOI: 10.1103/physrevlett.98.198701