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Recent developments in soliton cellular automata

Papadopoulou Eleni

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Year 1990
Type of Item Peer-Reviewed Journal Publication
Bibliographic Citation ’’Recent Developments in Soliton Cellular Automata’’, E.P. Papadopoulou, Nonlinear Evolution Equations and Dynamical Systems, eds S. Carrillo, O. Ragnisco, Springer-Verlag, pp. 186-189. 1990. doi:10.1007/978-3-642-84039-5_36
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There is at present a growing interest in the study of Cellular Automata (CA), one of the reasons being their wide applicability in computer science, physics, biology, etc. [1]–[3]. In this article we summarize the results of our study of a particular class of CA, called parity-rule filter automata, introduced in [4]. These results were obtained in collaboration with A.S. Fokas and Y.G. Saridakis in [6], [8], [9] and also M.J. Ablowitz in [7]. A very interesting property of this CA is that it exhibits solitonic behavior, in the sence that particles supported by this automaton rule collide in nondistructive ways, namely the particles emerging after interaction are, most of the time, identical to the original ones (see Figure 1).