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CELLULAR AUTOMATON FOR THE FRACTURE OF ELASTIC MEDIA [PDF]
International Journal of Modern Physics C, 1993 We study numerically the growth of a crack in an elastic medium under the influence of a travelling shockwave. We describe the implementation of a fast algorithm which is perfectly suited for a data parallel computer. Using large scale simulations on the Connection Machine we generate cracks with more than 10000 sites on a 1024 × 1024 lattice. We show
Peter Ossadnik
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The GraftalLace Cellular Automaton
, 2018 We introduce our GraftalLace Cellular Automaton in short GLCA which is a new one-dimensional cellular automaton on the regular square lattice. It makes a monochromatic infinite directed graph otherwise an octal number triangle or number trapezoid by partly influences the states of the neighbour cells with bit operations.
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Laws of Large Numbers for a Cellular Automaton
The Annals of Probability, 1993 Ergodic properties of the dynamical system which is the cellular automaton on \(X=(0,1,\dots,p-1)^ Z\) are investigated, where \(p\) is a prime number. The evolution rule of the system is specified by a mapping \(\tau:X\to X\), \[ (\tau\eta)(x)=\eta(x-1)+\eta(x+1)\bmod P \] for \(\eta(x)\in X\).
Cai, Haiyan, Luo, Xiaolong
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Analytical Cellular Pathology, 1997 A well‐suited model to simulate cellular population dynamics is the two‐dimensional cellular automaton model, which consists of a lattice of sites, the value ai,j of each site being updated in discrete time steps according to an identical deterministic ...
Jacqueline Palmari +3 more
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Journal of Advanced Transportation, 2020 Variable speed limit (VSL) control is a flexible restriction on the rate at which motorists can drive on a given stretch of road. Effective VSL control can increase safety and provide clear guidance for motorists.
Xu Qu +4 more
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Blackouts Mechanism Simulation Model of Power System Based on Heterogeneous Cellular Automata
Zhongguo dianli, 2019 In order to study the mechanism of large blackouts of interconnected power system, a heterogeneous cellular automata model is proposed and used to simulate interconnected power system.
Qun YU, Qi WANG, Na CAO
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Number-conserving cellular automaton rules
, 1999 A necessary and sufficient condition for a one-dimensional q-state n-input cellular automaton rule to be number-conserving is established. Two different forms of simpler and more visual representations of these rules are given, and their flow diagrams are determined. Various examples are presented and applications to car traffic are indicated.
Boccara, N., Fuk'S, H.
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Cellular-automaton model for reactive systems
Physical Review Letters, 1990 A method for constructing a variety of probabilistic lattice-gas cellular automata for chemically reacting systems is described. The microscopic reactive dynamics give rise to a general fourth-order polynomial rate law for the average particle density.
Dab, David +3 more
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Modeling grain orientation of DP600 steel by Nd:YAG laser
MATEC Web of Conferences, 2016 A FE-CA (Finite Element-Cellular Automaton) model is built to simulate the microstructure evaluation during laser welding of DP600 high strength steel. A moving conical heat source is performed in ABAQUS to achieve temperature field during welding.
Liu Shibo +2 more
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Sofic Trace of a Cellular Automaton
, 2007 The trace subshift of a cellular automaton is the subshift of all possible columns that may appear in a space-time diagram, ie the infinite sequence of states of a particular cell of a configuration; in the language of symbolic dynamics one says that it is a factor system.
Cervelle, Julien +2 more
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