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A note on cellular automata [PDF]
Advances in Group Theory and Applications, 2021 In this note, we give a new totally topological definition of cellular automata over groups. We show that every continuous self-map of the shift space A^G can be represented as a G-sequence of cellular automata. In the case of a finitely generated group
Mohammad Shahryari
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Model of cellular automata [PDF]
Компьютерные исследования и моделирование, 2010 An introduction to the models of cellular automata is given. The three automata described on the plane are: Viner-Rosenbluth cellular automata, the game of Life and Kohomoto-Oono automata for modelling «reaction-diffusion» systems.
Alexey I. Lobanov
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Control of Cellular Automata [PDF]
Physical Review E, 2012 We study the problem of master-slave synchronization and control of totalistic cellular automata (CA) by putting a fraction of sites of the slave equal to those of the master and finding the distance between both as a function of this fraction. We present three control strategies that exploit local information about the CA, mainly, the number of ...
Bagnoli, Franco +2 more
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Mean-Field Analysis with Random Perturbations to Detect Gliders in Cellular Automata
Mathematics, 2023 Cellular automata are mathematical models that represent systems with complex behavior through simple interactions between their individual elements. These models can be used to study unconventional computational systems and complexity.
Juan Carlos Seck-Tuoh-Mora +3 more
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Sequentializing cellular automata [PDF]
Natural Computing, 2018 Abstract We study the problem of sequentializing a cellular automaton without introducing any intermediate states, and only performing reversible permutations on the tape. We give a decidable characterization of cellular automata which can be written as a single sweep of a bijective rule from left to right over an infinite tape.
Jarkko Kari, Ville Salo, Thomas Worsch
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Modeling of Object Monitoring Using 3D Cellular Automata [PDF]
Problems of the Regional Energetics, 2022 The purpose of this work is to develop a formal model for describing the properties of the environment for the functioning of unmanned aerial vehicles and to increase the speed of calculating the trajectory of their flight when monitoring critical ...
Zakharchenko I. +7 more
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An overview of quantum cellular automata [PDF]
Natural Computing, 2019 Quantum cellular automata are arrays of identical finite-dimensional quantum systems, evolving in discrete-time steps by iterating a unitary operator G.
P. Arrighi
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A review of Quantum Cellular Automata [PDF]
Quantum, 2019 Discretizing spacetime is often a natural step towards modelling physical systems. For quantum systems, if we also demand a strict bound on the speed of information propagation, we get quantum cellular automata (QCAs).
Terry Farrelly
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A New Algorithm Inspired on Reversible Elementary Cellular Automata for Global Optimization
IEEE Access, 2022 This work presents a new global optimization algorithm of functions inspired by the dynamic behavior of reversible cellular automata, denominated Reversible Elementary Cellular Automata Algorithm (RECAA).
Juan Carlos Seck-Tuoh-Mora +4 more
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IEEE Access, 2023 Additive cellular automata over a finite abelian group are a wide class of cellular automata (CA) that are able to exhibit most of the complex behaviors of general CA and they are often exploited for designing applications in different practical contexts.
Alberto Dennunzio +2 more
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