Results 11 to 20 of about 9,104 (106)
Control of cellular automata [PDF]
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.
A. B. Mingarelli +9 more
core +2 more sources
A simple scalar coupled map lattice model for excitable media [PDF]
A simple scalar coupled map lattice model for excitable media is intensively analysed in this paper. This model is used to explain the excitability of excitable media, and a Hopf-like bifurcation is employed to study the different spatio-temporal ...
Billings, S.A. +3 more
core
On the Bernoulli Automorphism of Reversible Linear Cellular Automata
This investigation studies the ergodic properties of reversible linear cellular automata over $\mathbb{Z}_m$ for $m \in \mathbb{N}$. We show that a reversible linear cellular automaton is either a Bernoulli automorphism or non-ergodic.
Chang, Chih-Hung, Chang, Huilan
core +1 more source
Identification of probabilistic cellular automata [PDF]
The identification of probabilistic cellular automata (PCA) is studied using a new two stage neighborhood detection algorithm. It is shown that a binary probabilistic cellular automaton (BPCA) can be described by an integer-parameterized polynomial ...
Billings, S.A., Yang, Y.X.
core +1 more source
Ultimate Traces of Cellular Automata [PDF]
A cellular automaton (CA) is a parallel synchronous computing model, which consists in a juxtaposition of finite automata (cells) whose state evolves according to that of their neighbors.
Cervelle, Julien +2 more
core +7 more sources
Complex networks derived from cellular automata [PDF]
We propose a method for deriving networks from one-dimensional binary cellular automata. The derived networks are usually directed and have structural properties corresponding to the dynamical behaviors of their cellular automata.
Kayama, Yoshihiko
core
Formal Languages in Dynamical Systems [PDF]
We treat here the interrelation between formal languages and those dynamical systems that can be described by cellular automata (CA). There is a well-known injective map which identifies any CA-invariant subshift with a central formal language.
Troll, G.
core +1 more source
Dynamical Aspects of Sandpile Cellular Automata
The Bak, Tang, and Wiesenfeld cellular automaton [(1987)] is analysed with respect to the dynamical behavior. The scaling of the power spectrum derives from the assumption that the instantaneous dissipation rate of the individual avalanches obeys a simple scaling relation.
openaire +2 more sources
Nonlinear Stochastic Differential Equations and Self-Organized Criticality
Several nonlinear stochastic differential equations have been proposed in connection with self-organized critical phenomena. Due to the threshold condition involved in its dynamic evolution an infinite number of nonlinearities arises in a hydrodynamic ...
Diaz-Guilera, Albert
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On Nilpotency and Asymptotic Nilpotency of Cellular Automata
We prove a conjecture of P. Guillon and G. Richard by showing that cellular automata that eventually fix all cells to a fixed symbol 0 are nilpotent on S^Z^d for all d.
Salo, Ville
core +2 more sources

