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2014 | 125 | 2 | 405-407
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One-Dimensional Cellular Automata with Reflective Boundary Conditions and Radius Three

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A family of one-dimensional finite linear cellular automata with reflective boundary condition over the field Z_p is defined. The generalizations are the radius and the field that states take values. Here, we establish a connection between reversibility of cellular automata and the rule matrix of the cellular automata with radius three. Also, we prove that the reverse CA of this family again falls into this family.
  • Department of Mathematics, Education Faculty, Zirve University, 27260, Gaziantep, Turkey
  • Department of Mathematics, Faculty of Art and Sciences, Yildiz Technical University, 34210, Istanbul, Turkey
  • Department of Mathematics, Faculty of Art and Sciences, Harran University, 63000, Istanbul, Turkey
  • 1. A. Martin del Rey, G. Rodriguez Sánchez, doi: 10.1016/j.amc.2011.03.033. Appl. Math. Comput. 217, 8360 (2011)
  • 2. Z. Cinkir, H. Akin, I. Siap, doi: 10.1007/s10955-011-0202-2, J. Stat. Phys. 143, 807 (2011)
  • 3. I. Siap, H. Akin, M.E. Koroglu, doi: 10.1142/S0129183112500660, Int. J. Mod. Phys. C 23, 1 (2012)
  • 4. M.E. Koroglu, I. Siap, H. Akin, doi: 10.1007/s13369-013-0757-0, Arab. J. Sci. Eng., 2013, accepted for publication
  • 5. L. Hernández Encinas, A. Martin del Rey, doi: 10.1016/j.amc.2006.12.058, Appl. Math. Comput. 189, 1782 (2007)
  • 6. H. Akin, F. Sah, I. Siap, doi: 10.1142/S0129183111017020, Int. J. Mod. Phys. C 23, 1 (2012)
  • 7. O. Martin, A.M. Odlyzko, S. Wolfram, doi: 10.1007/BF01223745, Commun. Math. Phys. 93, 219 (1984)
  • 8. I. Siap, H. Akin, S. Uguz, doi: 10.1016/j.camwa.2011.09.066, Comput. Math. Appl. 62, 4161 (2011)
  • 9. S. Uguz, H. Akin, I. Siap, doi: 10.1142/S0218127413501010, Int. J. Bifurcat. Chaos. 23, 1350101 (2013)
  • 10. S. Uguz, U. Sahin, H. Akin, I. Siap, doi: 10.1142/S021812741430002X, Int. J. Bifurcat. Chaos. 24, 25 (2014)
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