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EXTENDING CHUA'S GLOBAL EQUIVALENCE THEOREM ON WOLFRAM'S NEW KIND OF SCIENCE.

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First Author : Junbiao Guan

Date of Publication : 2007-01-01

Journal : International Journal of Bifurcation and Chaos in Applied Sciences and Engineering

Affiliation of Author(s) : 数理与信息工程学院

Document Type : 期刊

Volume : Vol.17

Issue : No.12

Page Number : 4245-4259

ISSN : 0218-1274

Key Words : CELLULAR;automata;SYMBOLIC;dynamics;PATTERN;recognition;systems;HOMEOMORPHISMS;TOPOLOGY

Abstract : We establish the relation between the extended (i.e. I = ∞) one-dimensional binary Cellular Automata (1D CA) and the bi-infinite symbolic sequences in symbolic dynamics. That is, the 256 local rules of 1D CA correspond to 256 local rule mappings in the sy

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