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Discrete symmetry analysis of lattice systems

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Abstract

Discrete dynamical systems and mesoscopic lattice models are considered from the point of view of their symmetry groups. Some peculiarities in behavior of discrete systems induced by symmetries are pointed out. We reveal also the group origin of moving soliton-like structures similar to “spaceships” in cellular automata.

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Authors and Affiliations

  1. LIT JINR, Moscow, Russia

    V. V. Kornyak

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  1. V. V. Kornyak
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Correspondence to V. V. Kornyak.

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Kornyak, V.V. Discrete symmetry analysis of lattice systems. Phys. Part. Nuclei Lett. 6, 554–558 (2009). https://doi.org/10.1134/S1547477109070139

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