Sun X, Wang D, Wu Z
Structure Research Laboratory and Fundamental Physics Center, University of Science and Technology of China, Hefei 230026, China.
Phys Rev E Stat Nonlin Soft Matter Phys. 2001 Sep;64(3 Pt 2):036105. doi: 10.1103/PhysRevE.64.036105. Epub 2001 Aug 14.
A new type of circular cellular automata (CCA) has been introduced. The evolutions of the CCA obtained by the clockwise, anticlockwise, and scanning line-by-line site sequence in the successively growing rings divided from a square lattice are studied. The evolution seems to form a twisty fishnet when the CCA are grown by the first two sequences. Sierpinski triangle gasket or the modulated ones are formed in the fourth quadrant of the CCA grown by the line scanning sequence. Fractal analysis is used to characterize the relationships between the pattern formed and the initial position of the growing ring and it is found that the pattern is very sensitive to the initial growth condition, showing the chaotic behavior.
一种新型的循环细胞自动机（CCA）已被引入。研究了通过顺时针、逆时针以及从正方形晶格划分出的连续生长环中逐行扫描位点序列所得到的CCA的演化情况。当通过前两种序列生长CCA时，其演化似乎形成了一个扭曲的渔网。通过线扫描序列生长的CCA在第四象限形成了谢尔宾斯基三角形垫片或其调制形式。采用分形分析来表征所形成的图案与生长环初始位置之间的关系，发现该图案对初始生长条件非常敏感，呈现出混沌行为。
