Results 11 to 20 of about 1,549,018 (268)

Elementary Cellular Automata as Invariant under Conjugation Transformation or Combination of Conjugation and Reflection Transformations, and Applications to Traffic Modeling

open access: yesMathematics, 2022
This paper develops the analysis of properties of the cellular automata class introduced by the authors. It is assumed that the set of automaton cells is finite and forms a closed lattice, and there are two states for each automaton cell.
Valery Kozlov   +2 more
doaj   +1 more source

Larger than Life: Digital Creatures in a Family of Two-Dimensional Cellular Automata [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2001
We introduce the Larger than Life family of two-dimensional two-state cellular automata that generalize certain nearest neighbor outer totalistic cellular automaton rules to large neighborhoods.
Kellie M. Evans
doaj   +1 more source

The reversibility of one-dimensional cellular automata

open access: yesRUDN Journal of Engineering Research, 2021
Recently the reversible cellular automata are increasingly used to build high-performance cryptographic algorithms. The paper establishes a connection between the reversibility of homogeneous one-dimensional binary cellular automata of a finite size and ...
Alexey E. Zhukov
doaj   +1 more source

Cellular automaton for realistic modelling of landslides [PDF]

open access: goldNonlinear Processes in Geophysics, 1995
A numerical model is developed for the simulation of debris flow in landslides over a complex three dimensional topography. The model is then validated by comparing a simulation with reported field data.
E. Segrè, Chiara Deangeli
openalex   +2 more sources

Some Approaches to Modeling the Spatial Diffusion of Innovations [PDF]

open access: yesProstranstvennaâ Èkonomika, 2015
The study considers the problems of modeling diffusion of innovations in economic systems. The authors show the capabilities and limitations of the use of deterministic and probabilistic cellular automata in modeling the diffusion of innovations.
Yuriy Davidovich Schmidt   +1 more
doaj   +1 more source

Phase Space Invertible Asynchronous Cellular Automata [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2012
While for synchronous deterministic cellular automata there is an accepted definition of reversibility, the situation is less clear for asynchronous cellular automata.
Simon Wacker, Thomas Worsch
doaj   +1 more source

A Novel Ergodic Cellular Automaton Model of Gene-Protein Network: Theoretical Nonlinear Analyses and Efficient FPGA Implementation

open access: yesIEEE Access, 2023
A novel ergodic cellular automaton model of gene-protein network is presented. It is shown that the presented model can predict occurrences of typical nonlinear phenomena of a conventional ordinary differential equation gene-protein network model.
Shogo Shirafuji, Hiroyuki Torikai
doaj   +1 more source

A Particular Universal Cellular Automaton [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2009
Signals are a classical tool used in cellular automata constructions that proved to be useful for language recognition or firing-squad synchronisation.
Gaétan Richard, Nicolas Ollinger
doaj   +1 more source

Strictly Temporally Periodic Points in Cellular Automata [PDF]

open access: yesElectronic Proceedings in Theoretical Computer Science, 2012
We study the set of strictly periodic points in surjective cellular automata, i.e., the set of those configurations which are temporally periodic for a given automaton but they not spatially periodic.
Alberto Dennunzio   +2 more
doaj   +1 more source

Post-surjectivity and balancedness of cellular automata over groups [PDF]

open access: yesDiscrete Mathematics & Theoretical Computer Science, 2017
We discuss cellular automata over arbitrary finitely generated groups. We call a cellular automaton post-surjective if for any pair of asymptotic configurations, every pre-image of one is asymptotic to a pre-image of the other.
Silvio Capobianco   +2 more
doaj   +1 more source

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