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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. Network…

Cellular Automata and Lattice Gases · Physics 2010-09-28 Yoshihiko Kayama

Cyclic cellular automata (CCA) are models of excitable media. Started from random initial conditions, they produce several different kinds of spatial structure, depending on their control parameters. We introduce new tools from information…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Cosma Rohilla Shalizi , Kristina Lisa Shalizi

We have recently introduced the two new computing models of self-similar cellular automata and self-similar Petri nets. Self-similar automata result from a progressive, infinite tessellation of space and time. Self-similar Petri nets…

General Physics · Physics 2011-03-10 Martin Schaller , Karl Svozil

Reservoir Computing with Cellular Automata (ReCA) is a relatively novel and promising approach. It consists of 3 steps: an encoding scheme to inject the problem into the CA, the CA iterations step itself and a simple classifying step,…

Neural and Evolutionary Computing · Computer Science 2024-07-16 Tom Glover , Evgeny Osipov , Stefano Nichele

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). These originally…

Quantum Physics · Physics 2020-12-02 Terry Farrelly

Cellular automata (CA) are well-studied models of decentralized parallel computation, known for their ability to exhibit complex global behavior from simple local rules. While their dynamics have been widely explored through simulations, a…

Formal Languages and Automata Theory · Computer Science 2025-11-18 Dana Fisman , Noa Izsak

This paper reports on the application of sequence analysis algorithms for agents in robotic soccer and a suitable representation is proposed to achieve this mapping. The objective of this research is to generate novel better in-game…

Multiagent Systems · Computer Science 2014-01-13 P. Kiran Sree , G. V. S. Raju , S. Viswandha Raju , N. S. S. S. N Usha Devi

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

An efficient algorithm for computing lower bounds on the global linear complexity of nonlinearly filtered PN-sequences is presented. The technique here developed is based exclusively on the realization of bit wise logic operations, which…

Cryptography and Security · Computer Science 2015-03-17 A. Fúster-Sabater , P. Caballero-Gil

We have developed a simple cellular automata model for nonlinearly coupled phase oscillators which can exhibit many important collective dynamical states found in other synchronizing systems. The state of our system is specified by a set of…

Adaptation and Self-Organizing Systems · Physics 2017-06-29 Amitava Banerjee , Muktish Acharyya

Cellular Automata (CAs) are computational models that can capture the essential features of systems in which global behavior emerges from the collective effect of simple components, which interact locally. During the last decades, CAs have…

Unimodal maps have been broadly used as a base of new encryption strategies. Recently, a stream cipher has been proposed in the literature, whose keystream is basically a symbolic sequence of the (one-parameter) logistic map or of the tent…

Chaotic Dynamics · Physics 2013-10-29 David Arroyo , Gonzalo Alvarez , Jose Maria Amigo , Shujun Li

A transition from asymmetric to symmetric patterns in time-dependent extended systems is described. It is found that one dimensional cellular automata, started from fully random initial conditions, can be forced to evolve into complex…

Cellular Automata and Lattice Gases · Physics 2007-05-23 J. R. Sanchez , R. Lopez-Ruiz

The Stranded Cellular Automata (SCA) model consists of a grid of cells which can each contain between zero and two strands apiece and two turning rules that control when strands turn and when they cross. While patterns on this model have…

Dynamical Systems · Mathematics 2026-01-30 Alexa Renner

Sensor network has been recognized as the most significant technology for next century. Despites of its potential application, wireless sensor network encounters resource restriction such as low power, reduced bandwidth and specially…

Networking and Internet Architecture · Computer Science 2011-09-13 Indrajit Banerjee , Prasenjit Chanak , Hafizur Rahaman

Infinite words, also known as streams, hold significant interest in computer science and mathematics, raising the natural question of how their complexity should be measured. We introduce cellular automaton reducibility as a measure of…

Formal Languages and Automata Theory · Computer Science 2026-01-30 Markel Zubia , Herman Geuvers

Analyzing massive complex networks yields promising insights about our everyday lives. Building scalable algorithms to do so is a challenging task that requires a careful analysis and an extensive evaluation. However, engineering such…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-19 Daniel Funke , Sebastian Lamm , Ulrich Meyer , Peter Sanders , Manuel Penschuck , Christian Schulz , Darren Strash , Moritz von Looz

We explore some aspects of phase transitions in cellular automata. We start recalling the standard formulation of statistical mechanics of discrete systems (Ising model), illustrating the Monte Carlo approach as Markov chains and stochastic…

Statistical Mechanics · Physics 2023-12-05 Franco Bagnoli , Raul Rechtman

Cellular automata (CAs) and convolutional neural networks (CNNs) are closely related due to the local nature of information processing. The connection between these topics is beneficial to both related fields, for conceptual as well as…

Cellular Automata and Lattice Gases · Physics 2024-09-05 Michiel Rollier , Aisling J. Daly , Odemir M. Bruno , Jan M. Baetens

This study aims at finding a method for constructing molecular dynamics like models using the formalism of cellular automata for fast simulation of fluid dynamic systems (including compressible phenomena). In as much as the results…

comp-gas · Physics 2009-09-25 Himanshu Agrawal