Complex Dynamic Behaviors in Cellular Automata Rule 14

<table>Some attractors of rule 14, where <svg height="12.49875" id="M400" style="vertical-align:-0.1638pt" version="1.1" viewbox="0 0 36.255001 12.49875" width="36.255001" xmlns="http://www.w3.org/2000/svg" xmlns:xlink="http://www.w3.org/1999/xlink">
<g transform="matrix(NaN,0,0,NaN,NaN,NaN)"><path d="M414 650l-6 -28q-63 -4 -78.5 -17.5t-27.5 -71.5l-77 -416q-11 -58 0.5 -71.5t77.5 -17.5l-5 -28h-275l8 28q63 4 79.5 18.5t27.5 70.5l80 416q11 57 -2 71t-81 18l6 28h273z" id="x1D43C"></path></g><g transform="matrix(NaN,0,0,NaN,NaN,NaN)"><path d="M535 323h-483v50h483v-50zM535 138h-483v50h483v-50z" id="x3D"></path></g><g transform="matrix(NaN,0,0,NaN,NaN,NaN)"><path d="M153 550l-26 -186q79 31 111 31q90 0 141.5 -51t51.5 -119q0 -93 -89 -166q-85 -69 -173 -71q-32 0 -61.5 11.5t-41.5 23.5q-18 17 -17 34q2 16 22 33q14 9 26 -1q61 -50 124 -50q60 0 93 43.5t33 104.5q0 69 -41.5 110t-121.5 41q-53 0 -102 -20l38 305h286l6 -8
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</svg>, and the white pixel stands for 0 and black for 1.</table>

Discrete Dynamics in Nature and Society

Complex Dynamic Behaviors in Cellular Automata Rule 14

Figure 5