2D Adiabatic CA Rules over ℤ<sub>p</sub>
Otaxon KhudayberganovTashkent University of Information Technologies,Tashkent,UzbekistanR. K. GaybullaevNational University of Uzbekistan,Tashkent,UzbekistanShovkat RedjepovTashkent University of Information Technologies,Tashkent,Uzbekistan
2022en
ABI
Аннотация
The present paper is devoted to study of a new type of lattice that is called pentagonal lattice. It is defined the von Neumann neighborhood of a cell in this lattice. Then, we consider a linear Cellular Automata with von Neumann neighborhood over pentagonal lattice. We investigate this Cellular Automata with adiabatic boundary condition. For the considered Cellular Automata, it is determined the transition rule matrix over the field ℤ<inf>p</inf> with adiabatic boundary condition.
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