Topic
Continuous automaton
About: Continuous automaton is a research topic. Over the lifetime, 947 publications have been published within this topic receiving 17417 citations.
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TL;DR: In this article, the authors illustrate and extend the techniques of computational mechanics in explicating the structures that emerge in the space-time behavior of elementary one-dimensional cellular automaton rule 54.
168 citations
TL;DR: A cellular automata model for one-lane traffic flow is presented and it is found that the fundamental diagram of the proposed model is more consistent with the results measured in the real traffic, and the model is able to reproduce some relevant macroscopic states that are found in thereal traffic flow but cannot be predicted by the existing models.
Abstract: In this paper we present a cellular automata model for one-lane traffic flow. The update rules of velocity of a car depend not only on the positions of this car and the car ahead of it, but also on the velocities of the two cars. Using computer simulations we obtain some basic qualitative results and the fundamental diagram of the proposed model. In comparison with those of the existing models in the literature, we find that the fundamental diagram of the proposed model is more consistent with the results measured in the real traffic, and the model is able to reproduce some relevant macroscopic states that are found in the real traffic flow but cannot be predicted by the existing models.
156 citations
TL;DR: The local structure theory as mentioned in this paper is a sequence of finitely-parameterized models of the statistical features of a cellular automaton's evolution, which is a powerful method for characterization and classification of cellular automata.
142 citations
Journal Article•
140 citations
TL;DR: A hierarchy of discrete models is studied that show similar spatio-temporal structure and can be used to explore the complex phenomena occurring in nonequilibrium spatially distributed chemically reacting systems.
Abstract: Nonequilibrium spatially distributed chemically reacting systems are usually described in terms of reaction-diffusion equations. In this article, a hierarchy of discrete models is studied that show similar spatio-temporal structure and can be used to explore the complex phenomena occurring in these systems. We consider cellular automaton models where space, time and chemical concentrations are discrete and the dynamics is embodied in a simple updating rule, coupled map lattices where space and time are discrete variables but chemical concentrations are continuous and the dynamics is given by a nonlinear function and, lastly, lattice gas cellular automaton models that view the system on a microscopic or mesoscopic level where space, time and particle velocities are discrete.
135 citations