Besides, the mapping relation between Nðx; yÞt ¼ ðsðx 1; yÞt ; st
ðx;yþ1Þ; st
ðx;yÞ; st
ðxþ1;yÞ; st
ðx;y1ÞÞ and mðkÞ
ij i; j ¼ 1; 2; 3; 4 k ¼ 1; 2
can be found in Table 3.
x1;yÞ; st
ðx;yþ1Þ; st
ðx;yÞ; st
ðxþ1;yÞ; st
ðx;y1ÞÞ, and based on the definition (4) the analytic
function of the local rules can be defined as