Abstract

The article explores the methods of mathematical and computer modelling of the nonlinear dynamics of particle beams in cyclic accelerators in terms of the matrix formalism using both numerical and symbolic representations of the corresponding nonlinear differential equations. This paper shows how the matrix formalism approach allows the use of modern computational algorithms and artificial intelligence methods for more efficient and flexible modelling of particle beam dynamics in accelerators. Also, the article proposes a method of representing control elements using LEGO objects, which makes it possible to increase the efficiency of using control elements from a computational point of view and to facilitate the process of modelling particle dynamics.

Original languageEnglish
Article number012036
JournalJournal of Physics: Conference Series
Volume1391
Issue number1
DOIs
Publication statusPublished - 13 Dec 2019
Event8th International Conference on Mathematical Modeling in Physical Science, IC-MSQUARE 2019 - Bratislava
Duration: 26 Aug 201929 Aug 2019

Scopus subject areas

  • Physics and Astronomy(all)

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