Routing by Cellular Automata Agents in the Triangular Lattice

2014 ◽  
pp. 117-147 ◽  
Author(s):  
Rolf Hoffmann ◽  
Dominique Désérable
Keyword(s):  
Cellular Automata ◽  
Triangular Lattice

Structure and Reversibility of 2D von Neumann Cellular Automata Over Triangular Lattice

2017 ◽  
Vol 27 (06) ◽  
pp. 1750083 ◽  
Author(s):  
Selman Uguz ◽  
Shovkat Redjepov ◽  
Ecem Acar ◽  
Hasan Akin
Keyword(s):  
Cellular Automata ◽  
Triangular Lattice ◽  
Mathematical Structure ◽  
Continuous Model ◽  
Transition Rule ◽  
Von Neumann ◽  
Basic Model ◽  
Boundary Case ◽  
Ternary Field ◽  
Finite Linear

Even though the fundamental main structure of cellular automata (CA) is a discrete special model, the global behaviors at many iterative times and on big scales could be a close, nearly a continuous, model system. CA theory is a very rich and useful phenomena of dynamical model that focuses on the local information being relayed to the neighboring cells to produce CA global behaviors. The mathematical points of the basic model imply the computable values of the mathematical structure of CA. After modeling the CA structure, an important problem is to be able to move forwards and backwards on CA to understand their behaviors in more elegant ways. A possible case is when CA is to be a reversible one. In this paper, we investigate the structure and the reversibility of two-dimensional (2D) finite, linear, triangular von Neumann CA with null boundary case. It is considered on ternary field [Formula: see text] (i.e. 3-state). We obtain their transition rule matrices for each special case. For given special triangular information (transition) rule matrices, we prove which triangular linear 2D von Neumann CAs are reversible or not. It is known that the reversibility cases of 2D CA are generally a much challenged problem. In the present study, the reversibility problem of 2D triangular, linear von Neumann CA with null boundary is resolved completely over ternary field. As far as we know, there is no structure and reversibility study of von Neumann 2D linear CA on triangular lattice in the literature. Due to the main CA structures being sufficiently simple to investigate in mathematical ways, and also very complex to obtain in chaotic systems, it is believed that the present construction can be applied to many areas related to these CA using any other transition rules.

A TCAD tool for the simulation of the CVD process based on cellular automata

2001 ◽  
Vol 11 (PR3) ◽  
pp. Pr3-205-Pr3-212
Author(s):  
G. Ch. Sirakoulis ◽  
I. Karafyllidis ◽  
A. Thanailakis
Keyword(s):  
Cellular Automata

1H-NMR study of Mott insulator κ -(ET)2Cu2(CN)3with isotropic triangular lattice

2004 ◽  
Vol 114 ◽  
pp. 377-378 ◽  
Author(s):  
Y. Shimizu ◽  
K. Miyagawa ◽  
K. Oda ◽  
K. Kanoda ◽  
M. Maesato ◽  
...  
Keyword(s):  
1H Nmr ◽  
Triangular Lattice ◽  
Mott Insulator ◽  
Nmr Study

Triangular lattice antiferromagnet RbFe(MoO4)2

2010 ◽  
Vol 180 (8) ◽  
pp. 880 ◽  
Author(s):  
Aleksandr I. Smirnov ◽  
L.E. Svistov ◽  
Lyudmila A. Prozorova ◽  
O.A. Petrenko ◽  
M. Hagiwara
Keyword(s):  
Triangular Lattice ◽  
Triangular Lattice Antiferromagnet

On the use of cellular automata as space-borne calculation systems

1998 ◽  
Vol 4 (4) ◽  
pp. 49-54
Author(s):  
V.А. Val'kovskii ◽  
◽  
D.D. Zerbino ◽  
Keyword(s):  
Cellular Automata

Improved Quantum Dot Cellular Automata 4:1 Multiplexer Circuit Unit

2014 ◽  
Vol 2014 (1) ◽  
pp. 37-44 ◽  
Author(s):  
Arighna Sarkar ◽  
◽  
Debarka Mukhopadhyay ◽  
Keyword(s):  
Cellular Automata ◽  
Quantum Dot ◽  
Quantum Dot Cellular Automata
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