06095902

j

06095902 Xu, Xu Banks, Stephen P. Mahfouf, Mahdi On the structure of real-valued one-dimensional cellular automata. Int. J. Bifurcation Chaos Appl. Sci. Eng. 21, No. 5, 1265-1279 (2011). 2011 World Scientific, Singapore EN cellular automata real-valued states periodic points hypercyclicity

doi:10.1142/S0218127411029240

Summary: 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.