Correspondence between the temporal and spacial behavior in reversible one-dimensional cellular automata equivalent with the full shift

Mora, Juan C.S.T; Martinez, Genaro J.; McIntosh, Harold V.

Abstract

We present the basic properties of reversible one-dimensional cellular automata equivalent by permutations with the full shift, this work only takes reversible automata of neighborhood size 2. In these cases, we prove that the evolution rule defining the temporal behavior of the automaton may specify the spacial behavior as well. Based on this result we present a procedure for constructing configurations with a predefined dynamical behavior. Some examples of these results are presented.

Citation

Mora, J. C., Martinez, G. J., & McIntosh, H. V. (2004, June). Correspondence between the temporal and spacial behavior in reversible one-dimensional cellular automata equivalent with the full shift. Paper presented at DMCS Workshop

• Presentation Conference Type: Conference Paper (unpublished)
• Conference Name: DMCS Workshop
• Start Date: Jun 9, 2004
• End Date: Jun 9, 2019
• Peer Reviewed: Not Peer Reviewed
• Keywords: one-dimensional cellular automata
• Public URL: https://uwe-repository.worktribe.com/output/1065387