Symbolics dynamics of elementary cellular automata rule
β Scribed by Fang-Fang Chen; Fang-Yue Chen; Guan-Rong Chen; Wei-Feng Jin; Lin Chen
- Publisher
- Springer Netherlands
- Year
- 2009
- Tongue
- English
- Weight
- 345 KB
- Volume
- 58
- Category
- Article
- ISSN
- 0924-090X
No coin nor oath required. For personal study only.
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We apply the two di erent deΓΏnitions of chaos given by Devaney and by Knudsen for general discrete time dynamical systems (DTDS) to the case of elementary cellular automata, i.e., 1-dimensional binary cellular automata with radius 1. A DTDS is chaotic according to the Devaney's deΓΏnition of chaos i
We numerically study the dynamics of elementary 1D cellular automata (CA), where the binary state s i Γ°tΓ 2 f0; 1g of a cell i does not only depend on the states in its local neighborhood at time t Γ 1, but also on the memory of its own past states s i Γ°t Γ 2Γ; s i Γ°t Γ 3Γ; . . . ; s i Γ°t Γ tΓ; . .