Abstract
Cellular Automata have rich computational properties and provide many models in mathematical and physical processes. In this paper, We study the characterization of two dimensional linear Cellular Automata defined by the Von Neumann with neighborhood radius 2 of periodic boundary conditions over the field ℤ3. Transition rule matrix for periodic boundary condition and reversibility of Von Neumann with neighborhood cellular automata radius 2 of periodic boundary condition is studied.Cellular Automata have rich computational properties and provide many models in mathematical and physical processes. In this paper, We study the characterization of two dimensional linear Cellular Automata defined by the Von Neumann with neighborhood radius 2 of periodic boundary conditions over the field ℤ3. Transition rule matrix for periodic boundary condition and reversibility of Von Neumann with neighborhood cellular automata radius 2 of periodic boundary condition is studied.
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