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Your search keyword '"Siap, Irfan"' showing total 2 results
Start Over Author "Siap, Irfan" Topic matrices (mathematics) Topic null boundary condition
2 results on '"Siap, Irfan"'

1. Characterization of two-dimensional cellular automata over ternary fields

Author

Siap, Irfan, Akin, Hasan, and Sah, Ferhat

Subjects
*CELLULAR automata, *BOUNDARY value problems, *MATRICES (Mathematics), *MATHEMATICAL models, *ALGEBRAIC fields, *MATHEMATICAL transformations, *DIMENSIONAL analysis, *MATHEMATICAL analysis
Abstract

Abstract: The set of papers (Chattopadhyay et al., 1999; Dihidar and Choudhury, 2004; Khan et al., 1997, 1999) deals with the behavior of the uniform two-dimensional cellular automata over binary fields (). Some structural properties and precise mathematical models using matrix algebra over the field are reported for characterizing the behavior of two-dimensional nearest neighborhood linear cellular automata with null and periodic boundary conditions (Chattopadhyay et al., 1999; Dihidar and Choudhury, 2004; Khan et al., 1997, 1999). In this paper, we characterize two-dimensional linear cellular automata transformations by using matrix algebra built on . We analyze some results for two-dimensional CA with rule numbers 2460N and 2460P. Finally, we investigate the dimension of the kernel of two-dimensional cellular automata defined by the rule number 2460N. [Copyright &y& Elsevier]

Published
2011
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2. Characterization of 2D Cellular Automata with Moore Neighborhood over Ternary Fields.

Author

Akin, Hasan, Uğuz, Selman, and Siap, Irfan

Subjects
*CELLULAR automata, *TERNARY system, *VON Neumann algebras, *LATTICE theory, *MATRICES (Mathematics), *BOUNDARY value problems
Abstract

A characterization of von Neumann neighborhood cellular automata was extensively studied in the Literature. In this paper, we study one of the most commonly used neighborhood types of CA which is called Moore neighborhood in two dimensional lattice. We investigate the characterization of two dimensional Moore neighborhood cellular automata over ternary fields. Moore neighborhood cellular automata over Z3 corresponds to a new local rule which we called a rule number 9840. By using matrix algebra manipulations, the characterization of 2-dimensional linear cellular automata transformations with periodic and null boundary conditions is explicitly investigated over ternary fields. We also analyze some results about the rule number 9840N. [ABSTRACT FROM AUTHOR]

Published
2011
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