Öz
Bu çalışmada periyodik sınır şartı altında, bir boyutlu hücresel dönüşümleri inceliyoruz. Zp cismi üzerindeki hesaplamalar için matris cebirlerini kullanıyoruz. Hücresel dönüşümlerin tersini bulmak için bir formül elde ediyoruz. Son olarak, hücresel dönüşümlerin bazı önemli örneklerini veriyoruz.
Anahtar Kelimeler
Hücresel dönüşümler karakteristik matrisler sınır şartları terslenebilirlik
Kaynakça
- Akın, H. (2021). Description of reversibility of 9-Cyclic 1D finite linear cellular automata with periodic boundary conditions, Journal of Cellular Automata, 16, 127–151.
- Chang, C.C. & Yang Y. C. (2020). Characterization of reversible intermediate boundary cellular automata. Journal of Statistical Mechanics: Theory and Experiment, 1, 1-13.
- Cinkir, Z., Akın, H. & Siap, İ. (2011). Reversibility of 1D cellular automata with periodic boundary over finite fields Z_{p}. Journal of Statistical Physics, 143(4), 807-823.
- del Rey, A.M. & Rodriguez, S.G. (2011). Reversibility of linear cellular automata. Applied Mathematics and Computation, 217(21), 8360-8366.
- Das, A.K. & Chaudhuri, P.P. (1993). Vector space theoretic analysis of additive cellular automata and its applications for pseudo exhaustive test pattern generation. IEEE Trans. on Computers, 42 (3), 340–35.
- Khan, A.R., Choudhury, P.P., Dihidar, K. & Verma, R. (1999). Text compression using two dimensional cellular automata. Computers and Mathematics with Applications, 37, 115–127.
- Neumann, J. V. (1966). The theory of self-reproducing automata. Univ. of Illinois Press, Urbana.
- Wolfram, S., (1983). Statistical mechanics of cellular automata. Rev. Mod. Phys. 55 (3), 601-644.
Öz
In this paper, we investigate one dimensional cellular automata under periodic boundary conditions. We use matrix algebra for calculating over on Zp. We obtain a formula for finding the reversibility of cellular automata. Finally, we give some important examples of cellular automata.
Anahtar Kelimeler
Boundary condition cellular automata characteristic matrices reversibility
Kaynakça
- Akın, H. (2021). Description of reversibility of 9-Cyclic 1D finite linear cellular automata with periodic boundary conditions, Journal of Cellular Automata, 16, 127–151.
- Chang, C.C. & Yang Y. C. (2020). Characterization of reversible intermediate boundary cellular automata. Journal of Statistical Mechanics: Theory and Experiment, 1, 1-13.
- Cinkir, Z., Akın, H. & Siap, İ. (2011). Reversibility of 1D cellular automata with periodic boundary over finite fields Z_{p}. Journal of Statistical Physics, 143(4), 807-823.
- del Rey, A.M. & Rodriguez, S.G. (2011). Reversibility of linear cellular automata. Applied Mathematics and Computation, 217(21), 8360-8366.
- Das, A.K. & Chaudhuri, P.P. (1993). Vector space theoretic analysis of additive cellular automata and its applications for pseudo exhaustive test pattern generation. IEEE Trans. on Computers, 42 (3), 340–35.
- Khan, A.R., Choudhury, P.P., Dihidar, K. & Verma, R. (1999). Text compression using two dimensional cellular automata. Computers and Mathematics with Applications, 37, 115–127.
- Neumann, J. V. (1966). The theory of self-reproducing automata. Univ. of Illinois Press, Urbana.
- Wolfram, S., (1983). Statistical mechanics of cellular automata. Rev. Mod. Phys. 55 (3), 601-644.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Kombinatorik ve Ayrık Matematik (Fiziksel Kombinatorik Hariç) |
| Bölüm | Araştırma Makaleleri |
| Yazarlar | |
| Erken Görünüm Tarihi | 12 Aralık 2023 |
| Yayımlanma Tarihi | 31 Aralık 2023 |
| Gönderilme Tarihi | 5 Temmuz 2023 |
| Yayımlandığı Sayı | Yıl 2023 |
Kaynak Göster
Bu eser Creative Commons Alıntı-GayriTicari-Türetilemez 4.0 Uluslararası Lisansı ile lisanslanmıştır.