Cellular automata with memory - Volume 3.pdf

Cellular automata with memory - Volume 3 PDF

Ramon Alonso-Sanz

Memory is a universal of organized matter. What is the mathematics of memory? How does the memory affect space-time behaviour of spatially extended systems? Does the memory increase complexity? Cellular automaton models give us the answers. A cellular automaton is an array of locally connected finite state machines, or cells. The cells update their states simultaneously, in discrete time, by the same cellstate transition rule. Classical cellular automata are memoryless : a cell updates its state depending on current states of its neighbours. The book revolutionizes the conventional view on cellular automaton evolution by allowing cells to update their states looking at past states of their neighbours and analyses the effect of memory on a wide range of spatialized discrete dynamical systems scenarios. The book demonstrates that cellular automata with memory are not only priceless tools for modelling of natural phenomena but unique mathematical and aesthetic objects...

In Section 2 (and initially in Sections 3 Structurally dynamic cellular automata, 4 A structurally dynamic cellular automaton with memory) it is adopted the von Neumann neighborhood (NSWE), so the sum of neighbor states ranges in the {0, 5} set, and the values that activate a cell state are 1, 3 and 5.

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Cellular automata with memory - Volume 3.pdf

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Notes actuelles

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Sofya Voigtuh

One-dimensional Cellular Automata with Memory in Cells of the Most Frequent Recent Value Ramón Alonso-Sanz ETSI Agrónomos (Estadística), C. Universitaria. 28040, Madrid, Spain Margarita Martín F. Veterinaria (Bioquímica y Biología Molecular IV), UCM. C. Universitaria. 28040, Madrid, Spain Standard cellular automata (CA) rules depend only on the neighborhood configuration of the

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Mattio Müllers

Figure 3 shows the population on cellular structure (toroidal grid population), which inspires the concept of small neighborhood regions in the cellular automata. Particularly, the overlap of the neighborhood provides implicit technique migration into population. Therefore, the best solutions are diffused smoothly in the whole population, where the diversity of the cellular harmony search is

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Noels Schulzen

One-dimensional Cellular Automata with Memory in Cells of ...

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Jason Leghmann

On the Dynamics of Cellular Automata with Memory … Abstract: Elementary cellular automata (ECA) are linear arrays of finite-state machines (cells) which take binary states, and update their states simultaneously depending on states of their closest neighbours. We design and study ECA with memory (ECAM), where every cell remembers its states during some fixed period of evolution. We characterize

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Jessica Kolhmann

Cellular automata with memory : Volume 3: …