TIME EVOLUTION OF CIRCULAR CELLULAR AUTOMATA ON SQUARE LATTICES

Xia Sun, Sifang You, Daimu Wang and Yutao Yue
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Xia Sun: Hefei National Laboratory for Physical Sciences at Microscale and Department of Physics, University of Science and Technology of China, Hefei 230026, Anhui, P. R. China
Sifang You: Hefei National Laboratory for Physical Sciences at Microscale and Department of Physics, University of Science and Technology of China, Hefei 230026, Anhui, P. R. China
Daimu Wang: Hefei National Laboratory for Physical Sciences at Microscale and Department of Physics, University of Science and Technology of China, Hefei 230026, Anhui, P. R. China
Yutao Yue: Hefei National Laboratory for Physical Sciences at Microscale and Department of Physics, University of Science and Technology of China, Hefei 230026, Anhui, P. R. China

International Journal of Modern Physics C (IJMPC), 2005, vol. 16, issue 05, 745-755

Abstract: Time evolutions of the circular cellular automata (CCA) are studied. The pattern seems to reach a dynamic balance state after several iterations in a fixed space. The time variations of population of each quadrant obey the famous logistic equation. It is found that although the initial patterns are very sensitive to the location of the first ring and the growth sequence, the dynamic patterns are independent of them. We propose that the CCA model may be used to simulate the evolution of biology.

Keywords: Circular cellular automata; time evolution; logistic equation; 05.10.-a; 82.20.wt (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S0129183105007455

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