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Number conserving cellular automata: form decidability to dynamics | | B. Durand
; E. Formenti
; Z. Roka
; | | Date: |
27 Feb 2001 | | Subject: | Cellular Automata and Lattice Gases | nlin.CG | | Abstract: | We compare several definitions for number-conserving cellular automata that we prove to be equivalent. A necessary and sufficient condition for cas to be number-conserving is proved. Using this condition, we give a linear-time algorithm to decide number-conservation. The dynamical behavior of number-conserving cas is studied and a classification that focuses on chaoticity is given. | | Source: | arXiv, nlin.CG/0102035 | | Services: | Forum | Review | PDF | Favorites | |
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