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Motivated by questions in biology and distributed computing, we investigate the behaviour of particular cellular automata, modelled as one-dimensional arrays of identical finite automata. We investigate what sort of self-stabilising…

Formal Languages and Automata Theory · Computer Science 2009-11-14 Alan Gibbons , Martyn Amos

We propose and discuss two variants of kinetic particle models - cellular automata in 1+1 dimensions, which have some appeal due to their simplicity and intriguing properties which could warrant further research and applications. The first…

Statistical Mechanics · Physics 2023-05-17 Tomaz Prosen

This letter provides a simple but efficient technique, which allows each transmitter of an interference network, to exchange local channel state information with the other transmitters. One salient feature of the proposed technique is that…

Networking and Internet Architecture · Computer Science 2017-08-08 Chao Zhang , Samson Lasaulce , Vineeth S. Varma

We consider continuous, translation-commuting transformations of compact, translation-invariant families of mappingsfrom finitely generated groups into finite alphabets. It is well-known that such transformations and spaces can be described…

Dynamical Systems · Mathematics 2008-06-16 Silvio Capobianco

This letter proposes a dual model for grid-forming (GFM) controlled converters. The model is inspired from the observation that the structures of the active and reactive power equations of lossy synchronous machine models are almost…

Systems and Control · Electrical Eng. & Systems 2024-11-12 Federico Milano

In this exploratory paper we introduce the problem of cognitive agents that learn how to modify their environment according to local sensing to reach a global goal. We concentrate on discrete dynamics (cellular automata) on a…

Cellular Automata and Lattice Gases · Physics 2026-04-14 Franco Bagnoli , Bassem Sellami , Amira Mouakher , Samira El Yacoubi

A new kind of cellular automaton (CA) for the study of the dynamics of urban systems is proposed. The state of a cell is not described using a finite set, but by means of continuum variables. A population sector is included, taking into…

Cellular Automata and Lattice Gases · Physics 2007-05-23 Alberto Vancheri , Paolo Giordano , Denise Andrey , Sergio Albeverio

In this paper, we introduce a compositional method for the construction of finite abstractions of interconnected discrete-time switched systems. Particularly, we use a notion of so-called alternating simulation function as a relation…

Systems and Control · Electrical Eng. & Systems 2021-09-29 Abdalla Swikir , Majid Zamani

This paper describes a new concept of cellular automaton (CA). XCA consists of a set of arcs (edges) that correspond to cells in CA. At a particular time, the arcs are connected to a directed graph. With each time step, the arcs exchange…

Cellular Automata and Lattice Gases · Physics 2016-07-19 Walter Eckel

A new class of automata networks is defined. Their evolution rules are determined by a probability measure p on the set of all integers Z and an indicator function I_A on the interval [0,1]. It is shown that any cellular automaton rule can…

chao-dyn · Physics 2009-10-28 N. Boccara , H. Fuks , S. Geurten

The search for symmetry as an unusual yet profoundly appealing phenomenon, and the origin of regular, repeating configuration patterns have long been a central focus of complexity science and physics. To better grasp and understand symmetry…

Cellular Automata and Lattice Gases · Physics 2019-07-01 Peter Banda , John Caughman , Martin Cenek , Christof Teuscher

Rule 22 elementary cellular automaton (ECA) has a 3--cell neighborhood, binary cell states, where a cell takes state `1' if there is exactly one neighbor, including the cell itself, in state `1'. In Boolean terms the cell-state transition…

Cellular Automata and Lattice Gases · Physics 2020-05-05 Genaro J. Martinez , Andrew Adamatzky , Rolf Hoffmann , Dominique Deserable , Ivan Zelinka

We propose a formalism to model and reason about reconfigurable multi-agent systems. In our formalism, agents interact and communicate in different modes so that they can pursue joint tasks; agents may dynamically synchronize, exchange…

Logic in Computer Science · Computer Science 2021-04-29 Yehia Abd Alrahman , Nir Piterman

We investigate how increasing the dimension of the array can help to draw signals on cellular automata.We show the existence of a gap of constructible signals in any dimension. We exhibit two cellular automata in dimension 2 to show that…

Computational Complexity · Computer Science 2007-05-23 Jean-Christophe Dubacq , Veronique Terrier

In this paper, we propose a model predictive control based operation strategy that allows for power exchange between interconnected microgrids. Particularly, the approach ensures that each microgrid benefits from power exchange with others.…

Systems and Control · Computer Science 2023-11-14 A. K. Sampathirao , S. Hofmann , J. Raisch , C. A. Hans

We construct a cellular automaton (CA) model that describes the movement of a particle in a disordered system. The mathematical properties of the CA model were examined by varying the configuration of grid and determining the number of…

Computational Physics · Physics 2025-02-05 Lander Besabe , Editha Jose , Alvin Karlo Tapia

Cellular automata generate spatially extended, temporally persistent emergent structures from local update rules. No general method derives the mechanisms of that generation from the rule itself; existing tools reconstruct structure from…

Cellular Automata and Lattice Gases · Physics 2026-04-02 Manuel Pita

A novel strategy is proposed for the coupling of field and circuit equations when modeling power devices in the low-frequency regime. The resulting systems of differential-algebraic equations have a particular geometric structure which…

Numerical Analysis · Mathematics 2024-04-25 Herbert Egger , Idoia Cortes Garcia , Vsevolod Shashkov , Michael Wiesheu

We present a novel scheme for data processing which is well-suited for implementation at the nanometer scale. The logic circuits comprise two-state cellular units which are driven by externally applied updates, in contrast to earlier…

Mesoscale and Nanoscale Physics · Physics 2007-05-23 Simon C. Benjamin , Neil F. Johnson

In this paper, under certain conditions we consider two-dimensional cellular automata with the Moore neighborhood. Namely, the characterization of 2D linear cellular automata defined by the Moore neighborhood with some mixed boundary…

Dynamical Systems · Mathematics 2024-06-11 B. A. Omirov , Sh. B. Redjepov , J. B. Usmonov