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Relevant bibliographies by topics / Continuous cellular automata

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Academic literature on the topic 'Continuous cellular automata'

Author: Grafiati

Published: 4 June 2021

Last updated: 8 February 2022

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Journal articles on the topic "Continuous cellular automata"

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Semenov, V. K. "Continuous media and cellular automata." Uspekhi Fizicheskih Nauk 160, no. 11 (1990): 204. http://dx.doi.org/10.3367/ufnr.0160.199011j.0204.

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Semenov, V. K. "Continuous media and cellular automata." Soviet Physics Uspekhi 33, no. 11 (November 30, 1990): 996. http://dx.doi.org/10.1070/pu1990v033n11abeh002663.

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SECK TUOH MORA, JUAN CARLOS, MANUEL GONZALEZ HERNANDEZ, NORBERTO HERNANDEZ ROMERO, AARON RODRIGUEZ TREJO, and SERGIO V. CHAPA VERGARA. "MODELING LINEAR DYNAMICAL SYSTEMS BY CONTINUOUS-VALUED CELLULAR AUTOMATA." International Journal of Modern Physics C 18, no. 05 (May 2007): 833–48. http://dx.doi.org/10.1142/s0129183107010589.

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This paper exposes a procedure for modeling and solving linear systems using continuous-valued cellular automata. The original part of this work consists on showing how the cells in the automaton may contain both real values and operators for carrying out numerical calculations and solve a desired problem. In this sense the automaton acts as a program, where data and operators are mixed in the evolution space for obtaining the correct calculations. As an example, Euler's integration method is implemented in the configuration space in order to achieve an approximated solution for a dynamical system. Three examples showing linear behaviors are presented.

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Heaton, Jeff. "Evolving continuous cellular automata for aesthetic objectives." Genetic Programming and Evolvable Machines 20, no. 1 (August 27, 2018): 93–125. http://dx.doi.org/10.1007/s10710-018-9336-1.

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Turney, Peter D. "Measuring Behavioral Similarity of Cellular Automata." Artificial Life 27, no. 1 (2021): 62–71. http://dx.doi.org/10.1162/artl_a_00337.

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Abstract Conway's Game of Life is the best-known cellular automaton. It is a classic model of emergence and self-organization, it is Turing-complete, and it can simulate a universal constructor. The Game of Life belongs to the set of semi-totalistic cellular automata, a family with 262,144 members. Many of these automata may deserve as much attention as the Game of Life, if not more. The challenge we address here is to provide a structure for organizing this large family, to make it easier to find interesting automata, and to understand the relations between automata. Packard and Wolfram (1985) divided the family into four classes, based on the observed behaviors of the rules. Eppstein (2010) proposed an alternative four-class system, based on the forms of the rules. Instead of a class-based organization, we propose a continuous high-dimensional vector space, where each automaton is represented by a point in the space. The distance between two automata in this space corresponds to the differences in their behavioral characteristics. Nearest neighbors in the space have similar behaviors. This space should make it easier for researchers to see the structure of the family of semi-totalistic rules and to find the hidden gems in the family.

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Bubak, Marian, and Przemys l. ̵. aw Czerwiński. "Traffic simulation using cellular automata and continuous models." Computer Physics Communications 121-122 (September 1999): 395–98. http://dx.doi.org/10.1016/s0010-4655(99)00363-x.

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Pérez-Terrazas, Jaime Enrique, Vrani Ibarra-Junquera, and Haret Codratian Rosu. "Cellular automata modeling of continuous stirred tank reactors." Korean Journal of Chemical Engineering 25, no. 3 (May 2008): 461–65. http://dx.doi.org/10.1007/s11814-008-0078-2.

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Evsutin, O. O., A. A. Shelupanov, V. D. Babishin, and K. A. Sosedko. "Continuous optimization using a hybrid model of cellular automata and learning automata." Proceedings of Tomsk State University of Control Systems and Radioelectronics 22, no. 1 (2019): 50–54. http://dx.doi.org/10.21293/1818-0442-2019-22-1-50-54.

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Zhenjun Zhu and Chang Liu. "Micromachining process simulation using a continuous cellular automata method." Journal of Microelectromechanical Systems 9, no. 2 (June 2000): 252–61. http://dx.doi.org/10.1109/84.846706.

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Seck-Tuoh-Mora, Juan Carlos, Norberto Hernandez-Romero, Pedro Lagos-Eulogio, Joselito Medina-Marin, and Nadia Samantha Zuñiga-Peña. "A continuous-state cellular automata algorithm for global optimization." Expert Systems with Applications 177 (September 2021): 114930. http://dx.doi.org/10.1016/j.eswa.2021.114930.

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Dissertations / Theses on the topic "Continuous cellular automata"

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Ratitch, Bohdana. "Continuous function identification with fuzzy cellular automata." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk1/tape10/PQDD_0006/MQ44255.pdf.

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Betel, Heather. "Properties and Behaviours of Fuzzy Cellular Automata." Thèse, Université d'Ottawa / University of Ottawa, 2012. http://hdl.handle.net/10393/22858.

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Cellular automata are systems of interconnected cells which are discrete in space, time and state. Cell states are updated synchronously according to a local rule which is dependent upon the current state of the given cell and those of its neighbours in a pre-defined neighbourhood. The local rule is common to all cells. Fuzzy cellular automata extend this notion to systems which are discrete in space and time but not state. In this thesis, we explore fuzzy cellular automata which are created from the extension of Boolean rules in disjunctive normal form to continuous functions. Motivated by recent results on the classification of these rules from empirical evidence, we set out first to show that fuzzy cellular automata can shed some light on classical cellular automata and then to prove that the observed results are mathematically correct. The main results of this thesis can be divided into two categories. We first investigate the links between fuzzy cellular automata and their Boolean counter-parts. We prove that number conservation is preserved by this transformation. We further show that Boolean additive cellular automata have a definable property in their fuzzy form which we call self-oscillation. We then give a probabilistic interpretation of fuzzy cellular automata and show that homogeneous asymptotic states are equivalent to mean field approximations of Boolean cellular automata. We then turn our attention the asymptotic behaviour of fuzzy cellular automata. In the second half of the thesis we investigate the observed behaviours of the fuzzy cellular automata derived from balanced Boolean rules. We show that the empirical results of asymptotic behaviour are correct. In fuzzy form, the balanced rules can be categorized as one of three types: weighted average rules, self-averaging rules, and local majority rules. Each type is analyzed in a variety of ways using a range of tools to explain their behaviours.

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Gosálvez, Miguel A., Yan Xing, Kazuo Sato, and 一雄佐藤. "Analytical Solution of the Continuous Cellular Automaton for Anisotropic Etching." IEEE, 2008. http://hdl.handle.net/2237/11160.

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Kauffmann, Peter David. "Traffic Flow on Escalators and Moving Walkways: Quantifying and Modeling Pedestrian Behavior in a Continuously Moving System." Thesis, Virginia Tech, 2011. http://hdl.handle.net/10919/31252.

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Because of perceived deficiencies in the state of the practice of designing escalators and moving walkways, a microsimulation-based model of pedestrian behavior in these moving belt systems was created. In addition to implementing walking and stair climbing capabilities from existing pedestrian flow literature, the model utilized following behavior and lane change decision logic taken form studies performed in the field of automotive traffic flow theory. By combining research from these two normally independent fields with moving belt operational characteristics, a solid framework for the simulation was created. The model was then validated by comparing its operation to real world behaviors and performance metrics found in the literature in order to verify that the simulation matched the choices made by actual pedestrians. Once this crucial function had been completed, the model could finally be used in its original purpose of determining the capacity of a belt under region-specific input parameters. This paper also discusses other applications for which the model is suitable, including performing sensitivity analysis of both existing and proposed belt systems, analyzing the impacts of operational rule sets on the performance of escalators and moving walkways, and analyzing the effect of queue growth on the storage area needed for pedestrians in an ambulatory facility. Through the use of this model and the logic contained within it, engineers and planners will be able to gain a more accurate understanding of pedestrian flow on moving belts. The result of this increased understanding will be more effective and more efficient transportation systems.
Master of Science

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Pillay, Samara. "Modelling angiogenesis : a discrete to continuum approach." Thesis, University of Oxford, 2017. https://ora.ox.ac.uk/objects/uuid:a6f3f5a2-5f47-480d-8500-e560d46d9157.

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Angiogenesis is the process by which new blood vessels develop from existing vessels. Angiogenesis is important in a number of conditions such as embryogenesis, wound healing and cancer. It has been modelled phenomenologically at the macroscale, using the well-known 'snail-trail' approach in which trailing endothelial cells follow the paths of other, leading endothelial cells. In this thesis, we systematically determine the collective behaviour of endothelial cells from their behaviour at the cell-level during corneal angiogenesis. We formulate an agent-based model, based on the snail-trail process, to describe the behaviour of individual cells. We incorporate cell motility through biased random walks, and include processes which produce (branching) and annihilate (anastomosis) cells to represent sprout and loop formation. We use the transition probabilities associated with the discrete model and a mean-field approximation to systematically derive a system of non-linear partial differential equations (PDEs) of population behaviour that impose physically realistic density restrictions, and are structurally different from existing snail-trail models. We use this framework to evaluate the validity of a classical snail-trail model and elucidate implicit assumptions. We then extend our framework to explicitly account for cell volume. This generates non-linear PDE models which vary in complexity depending on the extent of volume exclusion incorporated on the microscale. By comparing discrete and continuum models, we assess the extent to which continuum models, including the classical snail-trail model, account for single and multi-species exclusion processes. We also distinguish macroscale exclusion effects introduced by each cell species. Finally, we compare the predictive power of different continuum models. In summary, we develop a microscale to macroscale framework for angiogenesis based on the snail-trail process, which provides a systematic way of deriving population behaviour from individual cell behaviour and can be extended to account for more realistic and/or detailed cell interactions.

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Terrazas, Gonzalez Jesus David. "A multi-modular dynamical cryptosystem based on continuous-interval cellular automata." 2013. http://hdl.handle.net/1993/14403.

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This thesis presents a computationally efficient cryptosystem based on chaotic continuous-interval cellular automata (CCA). This cryptosystem increases data protection as demonstrated by its flexibility to encrypt/decrypt information from distinct sources (e.g., text, sound, and images). This cryptosystem has the following enhancements over the previous chaos-based cryptosystems: (i) a mathematical model based on a new chaotic CCA strange attractor, (ii) integration of modules containing dynamical systems to generate complex sequences, (iii) generation of an unlimited number of keys due to the features of chaotic phenomena obtained through CCA, which is an improvement over previous symmetric cryptosystems, and (iv) a high-quality concealment of the cryptosystem strange attractor. Instead of using differential equations, a process of mixing chaotic sequences obtained from CCA is also introduced. As compared to other recent approaches, this mixing process provides a basis to achieve higher security by using a higher degree of complexity for the encryption/decryption processes. This cryptosystem is tested through the following three methods: (i) a stationarity test based on the invariance of the first ten statistical moments, (ii) a polyscale test based on the variance fractal dimension trajectory (VFDT) and the spectral fractal dimension (SFD), and (iii) a surrogate data test. This cryptosystem secures data from distinct sources, while leaving no patterns in the ciphertexts. This cryptosystem is robust in terms of resisting attacks that: (i) identify a chaotic system in the time domain, (ii) reconstruct the chaotic attractor by monitoring the system state variables, (iii) search the system synchronization parameters, (iv) statistical cryptanalysis, and (v) polyscale cryptanalysis.

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Poggio, Tomaso, and Federico Girosi. "Continuous Stochastic Cellular Automata that Have a Stationary Distribution and No Detailed Balance." 1990. http://hdl.handle.net/1721.1/6012.

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Marroquin and Ramirez (1990) have recently discovered a class of discrete stochastic cellular automata with Gibbsian invariant measures that have a non-reversible dynamic behavior. Practical applications include more powerful algorithms than the Metropolis algorithm to compute MRF models. In this paper we describe a large class of stochastic dynamical systems that has a Gibbs asymptotic distribution but does not satisfy reversibility. We characterize sufficient properties of a sub-class of stochastic differential equations in terms of the associated Fokker-Planck equation for the existence of an asymptotic probability distribution in the system of coordinates which is given. Practical implications include VLSI analog circuits to compute coupled MRF models.

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Book chapters on the topic "Continuous cellular automata"

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Grant, Martin, and J. D. Gunton. "Stability of Continuous Cellular Automata." In Frontiers of Computing Systems Research, 27–45. Boston, MA: Springer US, 1990. http://dx.doi.org/10.1007/978-1-4613-0633-7_2.

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Cervelle, Julien. "Constructing Continuous Systems from Discrete Cellular Automata." In Lecture Notes in Computer Science, 55–64. Berlin, Heidelberg: Springer Berlin Heidelberg, 2013. http://dx.doi.org/10.1007/978-3-642-39053-1_7.

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Pla-Castells, Marta, I. García, and R. J. Martínez. "Approximation of Continuous Media Models for Granular Systems Using Cellular Automata." In Lecture Notes in Computer Science, 230–37. Berlin, Heidelberg: Springer Berlin Heidelberg, 2004. http://dx.doi.org/10.1007/978-3-540-30479-1_24.

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Brower, Richard C. "The QCD abacus: A cellular automata formulation for continuous gauge symmetries." In Lecture Notes in Computer Science, 584. Berlin, Heidelberg: Springer Berlin Heidelberg, 1998. http://dx.doi.org/10.1007/3-540-64359-1_729.

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Wolnik, Barbara, Marcin Dembowski, Witold Bołt, Jan M. Baetens, and Bernard De Baets. "The Density Classification Problem in the Context of Continuous Cellular Automata." In Lecture Notes in Computer Science, 79–87. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-44365-2_8.

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Liu, Yan, and Yongjiu Feng. "A Logistic Based Cellular Automata Model for Continuous Urban Growth Simulation: A Case Study of the Gold Coast City, Australia." In Agent-Based Models of Geographical Systems, 643–62. Dordrecht: Springer Netherlands, 2011. http://dx.doi.org/10.1007/978-90-481-8927-4_32.

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Raabe, Dierk. "Cellular, Lattice Gas, and Boltzmann Automata." In Continuum Scale Simulation of Engineering Materials, 57–76. Weinheim, FRG: Wiley-VCH Verlag GmbH & Co. KGaA, 2005. http://dx.doi.org/10.1002/3527603786.ch3.

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Janssens, Koenraad G. F. "Irregular Cellular Automata Modeling of Grain Growth." In Continuum Scale Simulation of Engineering Materials, 297–308. Weinheim, FRG: Wiley-VCH Verlag GmbH & Co. KGaA, 2005. http://dx.doi.org/10.1002/3527603786.ch12.

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Vandyoussefi, M., and A. L. Greer. "Modeling of the Grain Refinement in Directionally Solidified Al-4.15 wt.% Mg Alloys using Cellular Automaton - Finite Element Approach." In Continuous Casting, 154–59. Weinheim, FRG: Wiley-VCH Verlag GmbH & Co. KGaA, 2006. http://dx.doi.org/10.1002/3527607331.ch23.

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Wang, Yadong, Dongbin Jiang, Sha Ji, and Lifeng Zhang. "Simulation for Solidification Structure of Continuous Casting Bloom Using Cellular Automaton-Finite Element Model." In The Minerals, Metals & Materials Series, 13–21. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-36556-1_2.

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Conference papers on the topic "Continuous cellular automata"

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Safia, Djemame, Djidel Oussama, and Batouche Mohamed Chawki. "Image segmentation using continuous cellular automata." In 2011 10th International Symposium on Programming and Systems (ISPS). IEEE, 2011. http://dx.doi.org/10.1109/isps.2011.5898891.

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Terrazas Gonzalez, Jesus D., and Witold Kinsner. "A modular dynamical cryptosystem based on continuous cellular automata." In 2011 10th IEEE International Conference on Cognitive Informatics & Cognitive Computing (ICCI-CC). IEEE, 2011. http://dx.doi.org/10.1109/coginf.2011.6016142.

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Gonzalez, Jesus D. Terrazas, and Witold Kinsner. "Security testing of a modular cryptosystem based on continuous cellular automata." In 2012 11th IEEE International Conference on Cognitive Informatics & Cognitive Computing (ICCI*CC). IEEE, 2012. http://dx.doi.org/10.1109/icci-cc.2012.6311130.

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Baetens, J. M., and B. De Baets. "Continuous cellular automata on irregular tessellations: Mimicking steady-state heat flow." In 2010 Second World Congress on Nature and Biologically Inspired Computing (NaBIC 2010). IEEE, 2010. http://dx.doi.org/10.1109/nabic.2010.5716301.

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Zhang, Jianhua, and Cailin Lei. "Continuous Cellular Automata Model for Signalized Intersection Based on Driver Heterogeneity." In 20th COTA International Conference of Transportation Professionals. Reston, VA: American Society of Civil Engineers, 2020. http://dx.doi.org/10.1061/9780784483053.016.

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Du, Tingsong, Pusheng Fei, and Jigui Jian. "A New Cellular Automata-Based Mixed Cellular Ant Algorithm for Solving Continuous System Optimization Programs." In 2008 Fourth International Conference on Natural Computation. IEEE, 2008. http://dx.doi.org/10.1109/icnc.2008.393.

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Kuznetsov, Alexander V. "Cellular automata-based model of group motion of agents with memory and related continuous model." In Information Technology and Nanotechnology 2017. Samara University, 2017. http://dx.doi.org/10.18287/1613-0073-2017-1904-223-231.

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Koné, Alassane, Allyx Fontaine, and Samira El Yacoubi. "COUPLING CELLULAR AUTOMATA WITH MEDALUS ASSESSMENT FOR THE DESERTIFICATION ISSUE." In International Conference on Emerging Trends in Engineering & Technology (IConETech-2020). Faculty of Engineering, The University of the West Indies, St. Augustine, 2020. http://dx.doi.org/10.47412/vqgh6804.

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Desertification is one of the major problems affecting our environment in the 21st century. Indeed, it threatens more than 1.5 million people worldwide and affects a quarter of the land in less than 100 countries, it spreads over half a billion hectares per year and reduces the surface water and groundwater. Thus, according to a report by the Food and Agriculture Organisation written in 1993, the direct and visible impacts of desertification are the damage on crops, on livestock, on the electricity productivity, etc. Indirect impacts are lack of food production, poverty, social upheaval, rural exodus to cities. In this paper, our work consists in modelling the degradation process of land whose advanced level leads to the desertification. The first step consists in assessing the degradation of land with the MEDALUS model developed by the MEDALUS project of the commission of the European Union. This model assesses desertification by its sensitivity index which is the geometric mean of four quality factor indexes of soil, vegetation, climate and management (land use). This assessment method uses the major part of the parameters influencing the land degradation process. The second step is to model the land degradation process using cellular automata (CA) approach. For that purpose, the study area will be divided into a regular grid of cells. Initially, each cell has a state (desertification sensitivity index) whose evolution at each discrete time step depends on the states of its neighbours through a built transition function. As a result, this study allows to introduce a dynamical process in MEDALUS model. Indeed, from an initial configuration of an area, the model can predict its evolution over time and space according to a continuous state transition function that extend the classical CA approach and fit to the MEDALUS model parameters.

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Ramakrishnan, Subramanian, and Manish Kumar. "Synthesis and Analysis of Control Laws for Swarm of Mobile Robots Emulating Ant Foraging Behavior." In ASME 2010 Dynamic Systems and Control Conference. ASMEDC, 2010. http://dx.doi.org/10.1115/dscc2010-4244.

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Ant foraging behavior has inspired research in a number of areas including distributed problem solving such as optimization and task allocation and mobile robot navigation. In the area of swarm robotic systems, ant foraging behavior has been largely modeled via behavior based techniques and analyzed using cellular automata. Development of continuous time models for ant foraging can potentially provide insights into new mechanisms and behaviors used by ants that provide self-organizing capabilities to the ant colony. This paper presents a distributed control law in continuous time that combines gradient following for pheromone concentration as well as food scent with random motion seen in ants. The paper also provides a continuous time model for pheromone laying in a 2D environment and carries out a preliminary numerical stability analysis of the solutions. Extensive simulation studies confirm emergent behaviors seen in ant systems such as trail formation and convergence to single food site. In addition, the paper examines the effect of randomness on robustness of convergence to a single food site.

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Leamy, Michael J. "A Cellular Automata Modeling Approach for Continuum Elastodynamics." In ASME 2008 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2008. http://dx.doi.org/10.1115/detc2008-49255.

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This article details a physics-based Cellular Automata (CA) modeling approach for studying the dynamic response of a solid elastic continuum. The domain of interest is discretized into rectangular cellular automata and a rule set is developed for evolving each cell’s state based on its present state and its neighbors’ states. A cell’s state is comprised of its displacement and velocity components, and its external force. It is shown that the choice of rectangular cells yields discrete equations equivalent to the centered-difference finite difference (FD) approach. However, the discrete equations are arrived at from the ‘bottom up’ using local rules vice ‘top-down’ discretization of global partial differential equations. A further distinction between the two methods concerns the location of stresses and its impact on boundary conditions: the CA approach assigns stresses to the cell faces while the FD approach assigns stress collocated with displacement components at a single node. These differences may provide important perspective on modeling arbitrary geometry with a finite difference-like approach based on cell assembly, similar to finite element analysis. Implementation of the CA paradigm using autonomous, local cells fits naturally with object-oriented programming practices and lends itself readily to distributed computing. Results are provided for an example ground-shock simulation in which a differentiated Gaussian pulse on the surface of a half-space generates the expected pressure, shear, and surface waves. Comparisons to waves computed using a staggered-grid finite difference approach demonstrate very good agreement. In addition, the simulation results suggest that the CA approach may exhibit less ‘ringing’ as waves pass, and more symmetry in left-ward and right-ward moving waves.

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Reports on the topic "Continuous cellular automata"

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Poggio, Tomaso, and Federico Girosi. Continuous Stochastic Cellular Automata that have a Stationary Distribution and No Detailed Balance. Fort Belvoir, VA: Defense Technical Information Center, December 1990. http://dx.doi.org/10.21236/ada234421.

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