Cellular automata using infinite computations
نویسندگان
چکیده
منابع مشابه
Cellular Automata Using Infinite Computations
This paper presents an application of the Infinite Unit Axiom, introduced by Yaroslav Sergeyev, (see [11] [14]) to the development of one-dimensional cellular automata. This application allows the establishment of a new and more precise metric on the space of definition for one-dimensional cellular automata, whereby accuracy of computations is increased. Using this new metric, open disks are de...
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This paper proposes an application of the Infinite Unit Axiom and grossone, introduced by Yaroslav Sergeyev (see [15] [19]), to classify one-dimensional cellular automata whereby each class corresponds to a different and distinct dynamical behavior. The forward dynamics of a cellular automaton map are studied via defined classes. Using these classes, along with the Infinite Unit Axiom and gross...
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This paper proposes an application of the Infinite Unit Axiom and grossone, introduced by Yaroslav Sergeyev (see [17] [21]), to the development and classification of two-dimensional cellular automata. This application establishes, by the application of grossone, a new and more precise nonarchimedean metric on the space of definition for two-dimensional cellular automata, whereby the accuracy of...
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Plasma ap plicati ons of comput ational techniques based on cellular auto mat a are inhibited by the long-ran ge nature of electromagnetic forc es . On e of the most promis ing features of cellu lar automata methods has been th e parallelism that becomes possible because of the local natu re of th e interactions , leading (for example) to t he absence of Poisson equat ions to be solved in fluid...
متن کاملCellular automata computations and secret key cryptography
Franciszek Seredynski *, Pascal Bouvry , Albert Y. Zomaya d a Polish–Japanese Institute of Information Technologies, Koszykowa 86, 02-008 Warsaw, Poland b Institute of Computer Science of Polish Academy of Sciences, Ordona 21, 01-237 Warsaw, Poland c Faculty of Sciences, Technology and Communication, Luxembourg University 6, rue Coudenhove Kalergi, L-1359 Luxembourg-Kirchberg, Luxembourg d Scho...
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ژورنال
عنوان ژورنال: Applied Mathematics and Computation
سال: 2012
ISSN: 0096-3003
DOI: 10.1016/j.amc.2011.10.065