CAJ | 학술논문

针对状态数k=3, 相邻半径r=2的一维总和规则元胞自动机, 引入两个推广的Langton参数λ_1和λ_2, 研究Wolfram第Ⅰ等级元胞自动机的规则空间, 得到了参数λ_1和λ_2与规则R的关系图及相空间斑图. 结果表明, 利用两个参数λ_1和λ_2描述k=3,r=2的一维元胞自动机的总和规则空间, 可以得到较详细的Wolfram第Ⅰ等级的相空间结构.
침대상태수k=3, 상린반경r=2적일유총화규칙원포자동궤, 인입량개추엄적Langton삼수λ_1화λ_2, 연구Wolfram제Ⅰ등급원포자동궤적규칙공간, 득도료삼수λ_1화λ_2여규칙R적관계도급상공간반도. 결과표명, 이용량개삼수λ_1화λ_2묘술k=3,r=2적일유원포자동궤적총화규칙공간, 가이득도교상세적Wolfram제Ⅰ등급적상공간결구.
The authors introduced the conception of generalized Langton parameters λ_1 and λ_2 to the one-dimensional total rule cellular automata with k=3,r=2. The authors studied the rule space of Wolfram class Ⅰ total rule cellular automata and obtained the figures of relation between λ_1 and R, λ_2 and R and the phase figure. The results show that describing the total rule space of one-dimensional cellular automata with k=3, r=2 with two parameters λ_1 and λ_2, one can obtain more detailed phase space structure of Wolfram class Ⅰ.