@article {IOPORT.06095902, author = {Xu, Xu and Banks, Stephen P. and Mahfouf, Mahdi}, title = {On the structure of real-valued one-dimensional cellular automata.}, year = {2011}, journal = {International Journal of Bifurcation and Chaos in Applied Sciences and Engineering}, volume = {21}, number = {5}, issn = {0218-1274}, pages = {1265-1279}, publisher = {World Scientific, Singapore}, doi = {10.1142/S0218127411029240}, abstract = {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.}, identifier = {06095902}, }