Elementary cellular automata (ECA) rule 184 can be used as mathematical models of traffic
flows. The slow-to-start model is obtained from the ECA rule 184 model by taking time lag for …

Optical frequency comb is an optical spectrum with equispaced frequency lines, used in
different applications, for instance, in optical communications. In this application, when an …

Elementary fuzzy Cellular Automata (CA) are known as continuous counterpart of
elementary CA, which are 2-state CA, via the polynomial representation of local rules. In this …

In this paper we provide an analytical study of the theory of multi-valued and fuzzy cellular
automata where the fuzziness appears as the result of the application of an underlying multi …

This paper presents an investigation into the evolution and dynamics of the simplest
generalization of binary cellular automata: Affine continuous cellular automata (ACCAs) …

It is well known that, in the case of a one dimensional two-neighbor situation, there are 256
fuzzy cellular automata obtained by the fuzzification of the disjunctive normal form in …

Using methods from the theory of fuzzy cellular automata as formulated over the past
decade we present an analytic comprehensive derivation of a classification of fuzzy cellular …

Fuzzy cellular automata are dynamical systems that are continuous counterparts of the usual
cellular automata (CA). Compared with the binary case, defining a fuzzy CA with three or …

Over the past 20 years, the study of cellular automata has emerged as one of the most
interesting and popular forms of “new mathematics”. The study of cellular automata has …

We consider one-dimensional Fuzzy Cellular Automata (FCA) defined as a real-valued
version of elementary cellular automata (ECA) ie, the cells are identified with the real values …