Symmetries and Dynamics of Discrete Systems

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dc.creatorKornyak, Vladimir V.
dc.date2007-06-25
dc.date2007-10-08
dc.date.accessioned2026-07-07T08:34:16Z
dc.date.available2026-07-07T08:34:16Z
dc.descriptionWe consider discrete dynamical systems and lattice models in statistical mechanics from the point of view of their symmetry groups. We describe a C program for symmetry analysis of discrete systems. Among other features, the program constructs and investigates phase portraits of discrete dynamical systems modulo groups of their symmetries, searches dynamical systems possessing specific properties, e.g., reversibility, computes microcanonical partition functions and searches phase transitions in mesoscopic systems. Some computational results and observations are presented. In particular, we explain formation of moving soliton-like structures similar to ``spaceships'' in cellular automata.
dc.description17 pages, 10 figures, [v2] includes additional material
dc.identifierhttps://arxiv.org/abs/0706.3646
dc.identifierhttp://arxiv.org/abs/0706.3646
dc.identifierCASC 2007, LNCS 4770, pp. 236--251, Springer 2007
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/139376
dc.subjectMathematical Physics
dc.subjectDynamical Systems
dc.subjectPattern Formation and Solitons
dc.titleSymmetries and Dynamics of Discrete Systems
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