scholarly journals A quantum battle of the sexes cellular automaton

2012 ◽  
Vol 468 (2147) ◽  
pp. 3370-3383 ◽  
Author(s):  
Ramón Alonso-Sanz
Keyword(s):  
Cellular Automata ◽  
Spatial Structure ◽  
Cellular Automaton ◽  
Synchronous Interaction ◽  
Battle Of The Sexes ◽  
Quantum Formulation

The dynamics of a spatial quantum formulation of the iterated battle of the sexes game is studied in this work. The game is played in the cellular automata manner, i.e. with local and synchronous interaction. The effect of spatial structure is assessed in the quantum versus quantum players contest as well as in the unfair quantum versus classical players contest. The case of partial entangling is also scrutinized.

scholarly journals A quantum prisoner's dilemma cellular automaton

2014 ◽  
Vol 470 (2164) ◽  
pp. 20130793 ◽  
Author(s):  
Ramón Alonso-Sanz
Keyword(s):  
Cellular Automata ◽  
Spatial Structure ◽  
Cellular Automaton ◽  
Prisoner's Dilemma ◽  
Prisoner’S Dilemma ◽  
Mutual Cooperation ◽  
Synchronous Interaction ◽  
Privileged Status ◽  
Rapid Emergence ◽  
Quantum Formulation

The dynamics of a spatial quantum formulation of the iterated prisoner's dilemma game is studied in this work. The game is played in the cellular automata manner, i.e. with local and synchronous interaction. The evolution is driven by the imitation of the best neighbour. It is shown how spatial structure enables in fully quantum contests a dramatically rapid emergence of mutual cooperation. In unfair contests, such as quantum versus classic players, the velocity in which the quantum players take advantage of its privileged status is also very notable.

scholarly journals A quantum Samaritan’s dilemma cellular automaton

2017 ◽  
Vol 4 (6) ◽  
pp. 160669 ◽  
Author(s):  
Ramón Alonso-Sanz ◽  
Haozhen Situ
Keyword(s):  
Cellular Automata ◽  
Cellular Automaton ◽  
Quantum Noise ◽  
Synchronous Interaction ◽  
Quantum Formulation

The dynamics of a spatial quantum formulation of the iterated Samaritan’s dilemma game with variable entangling is studied in this work. The game is played in the cellular automata manner, i.e. with local and synchronous interaction. The game is assessed in fair and unfair contests, in noiseless scenarios and with disrupting quantum noise.

Simulating Self-Regeneration and Self-Replication Processes Using Movable Cellular Automata with a Mutual Equilibrium Neighborhood

2020 ◽  
Vol 29 (4) ◽  
pp. 741-757
Author(s):  
Kateryna Hazdiuk ◽  
◽  
Volodymyr Zhikharevich ◽  
Serhiy Ostapov ◽  
◽  
...  
Keyword(s):  
Cellular Automata ◽  
Cellular Automaton ◽  
Three Dimensional ◽  
Computer Models ◽  
The Self ◽  
Model Construction ◽  
Natural Phenomena ◽  
Different Types ◽  
Movable Cellular Automata ◽  
Self Replication

This paper deals with the issue of model construction of the self-regeneration and self-replication processes using movable cellular automata (MCAs). The rules of cellular automaton (CA) interactions are found according to the concept of equilibrium neighborhood. The method is implemented by establishing these rules between different types of cellular automata (CAs). Several models for two- and three-dimensional cases are described, which depict both stable and unstable structures. As a result, computer models imitating such natural phenomena as self-replication and self-regeneration are obtained and graphically presented.

scholarly journals Butterfly effect and spatial structure of information spreading in a chaotic cellular automaton

2021 ◽  
Vol 103 (9) ◽  
Author(s):  
Shu-Wei Liu ◽  
J. Willsher ◽  
T. Bilitewski ◽  
Jin-Jie Li ◽  
A. Smith ◽  
...  
Keyword(s):  
Spatial Structure ◽  
Cellular Automaton ◽  
Information Spreading ◽  
Butterfly Effect

A STUDY OF BIFURCATIONS IN A CIRCULAR REAL CELLULAR AUTOMATON

1993 ◽  
Vol 03 (02) ◽  
pp. 293-321 ◽  
Author(s):  
JÜRGEN WEITKÄMPER
Keyword(s):  
Hopf Bifurcation ◽  
Dynamical Systems ◽  
Cellular Automata ◽  
Cellular Automaton ◽  
Parallel Computers ◽  
Discrete Dynamical Systems ◽  
Two Dimensional ◽  
Bifurcation Structure ◽  
Logistic Mapping ◽  
Henon Mapping

Real cellular automata (RCA) are time-discrete dynamical systems on ℝN. Like cellular automata they can be obtained from discretizing partial differential equations. Due to their structure RCA are ideally suited to implementation on parallel computers with a large number of processors. In a way similar to the Hénon mapping, the system we consider here embeds the logistic mapping in a system on ℝN, N>1. But in contrast to the Hénon system an RCA in general is not invertible. We present some results about the bifurcation structure of such systems, mostly restricting ourselves, due to the complexity of the problem, to the two-dimensional case. Among others we observe cascades of cusp bifurcations forming generalized crossroad areas and crossroad areas with the flip curves replaced by Hopf bifurcation curves.

Simulation of microstructure evolution during recrystallization using a high resolution three dimensional cellular automaton

2004 ◽  
Vol 120 ◽  
pp. 225-230
Author(s):  
P. Mukhopadhyay ◽  
M. Loeck ◽  
G. Gottstein
Keyword(s):  
High Resolution ◽  
Cellular Automata ◽  
Cellular Automaton ◽  
Microstructure Evolution ◽  
Static Recrystallization ◽  
Three Dimensional ◽  
Computation Time ◽  
Recrystallization Process ◽  
Recovery Condition ◽  
Physically Based

A more refined 3D cellular Automata (CA) algorithm has been developed which has increased the resolution of the space and reduced the computation time and can take care of the complexity of recrystallization process through physically based solutions. This model includes recovery, condition for nucleation and orientation dependent variable nuclei growth as a process of primary static recrystallization. Incorporation of microchemistry effects makes this model suitable for simulating recrystallization behaviour in terms of texture, kinetics and microstructure of different alloys. The model is flexible to couple up with other simulation programs on a common database.

A Simple Three-States Cellular Automaton for Modelling Excitable Media

1998 ◽  
Vol 12 (05) ◽  
pp. 601-607 ◽  
Author(s):  
M. Andrecut
Keyword(s):  
Wave Propagation ◽  
Partial Differential Equations ◽  
Cellular Automata ◽  
Differential Equations ◽  
Cellular Automaton ◽  
Cellular Automaton Model ◽  
Excitable Media ◽  
Self Organization ◽  
Partial Differential ◽  
Bz Reaction

Wave propagation in excitable media provides an important example of spatiotemporal self-organization. The Belousov–Zhabotinsky (BZ) reaction and the impulse propagation along nerve axons are two well-known examples of this phenomenon. Excitable media have been modelled by continuous partial differential equations and by discrete cellular automata. Here we describe a simple three-states cellular automaton model based on the properties of excitation and recovery that are essential to excitable media. Our model is able to reproduce the dynamics of patterns observed in excitable media.

scholarly journals Modeling of fungal mycelium growth by fourth-class continuous stochastic cellular automaton with continuously defined growth conditions

2017 ◽  
Vol 6 (4) ◽  
pp. 98-102
Author(s):  
Anatoliy Sergeevich Shumilov ◽  
Sergey Alexandrovich Blagodatsky
Keyword(s):  
Spatial Structure ◽  
Cellular Automaton ◽  
Colony Growth ◽  
Growth Conditions ◽  
Growth Patterns ◽  
Fungal Mycelium ◽  
Mycelium Growth ◽  
Proposed Model ◽  
Area Unit ◽  
Fungal Colony

The aim of this work was to simulate the growth and spatial structure of the fungal mycelium using a cellular automaton based on the synthesis of various model approaches. The spatial structure of the mycelium is described in the structural submodel of the cellular automaton, which determines the growth rate in the direction of larger resource amount and the number of branches of the mycelium per area unit. The amount of available substrate determines the probability of unidirectional apical growth. Another, biochemical part of the model allows us to describe the rate of transport of resources into the cell, their transport within the mycelium, and also their excretion, and is intended to describe the vertical and horizontal migration in the soil of two nutrients. The proposed model makes it possible to quantitatively describe such a feature of fungal colony growth as more active absorption of resources by external cells, compared to central ones due to separation of transport resources into active and passive resources. The active transport was described using the Michaelis-Menten kinetics. We were able to simulate the stockpiling of surplus resources and their redistribution over the mycelium after the exhaustion of reserves in the external environment, and also to simulate typical growth patterns of mycelial colonies that were observed in experiments published in the literature.

A Language Shift Simulation Based on Cellular Automata

2011 ◽  
pp. 136-151 ◽  
Author(s):  
Francesc S. Beltran ◽  
Salvador Herrando ◽  
Violant Estreder ◽  
Doris Ferreres ◽  
Marc-Antoni Adell ◽  
...  
Keyword(s):  
Cellular Automata ◽  
Cellular Automaton ◽  
Language Shift ◽  
Automata Theory ◽  
Theory Approach ◽  
Southern Europe ◽  
Social Phenomenon ◽  
Simulation Based ◽  
The World ◽  
Traditional Language

Language extinction is a widespread social phenomenon affecting several million people throughout the world today. By the end of this century, more than 5100 of the approximately 6000 languages currently spoken around the world will have disappeared. This is mainly because of language shifts, i.e., because a community of speakers stops using their traditional language and speaks a new one in all communication settings. In this study, the authors present the properties of a cellular automaton that incorporates some assumptions from the Gaelic-Arvanitika model of language shifts and the findings on the dynamics of social impacts in the field of social psychology. To assess the cellular automaton, the authors incorporate empirical data from Valencia (a region in Southern Europe), where Catalan speakers are tending to shift towards using Spanish. Running the automaton under different scenarios, the survival or extinction of Catalan in Valencia depends on individuals’ engagement with their language. The authors discuss how a cellular automata theory approach proves to be a useful tool for understanding the language shift.

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