ON THE STRUCTURE OF REAL-VALUED ONE-DIMENSIONAL CELLULAR AUTOMATA
Xu XuDepartment of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UKStephen P. BanksDepartment of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UKMahdi MahfoufDepartment of Automatic Control and Systems Engineering, University of Sheffield, Mappin Street, Sheffield S1 3JD, UK
2011en
ABI
Аннотация
It is well-known that binary-valued cellular automata, which are defined by simple local rules, have the amazing feature of generating very complex patterns and having complicated dynamical behaviors. In this paper, we present a new type of cellular automaton based on real-valued states which produce an even greater amount of interesting structures such as fractal, chaotic and hypercyclic. We also give proofs to real-valued cellular systems which have fixed points and periodic solutions.
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