Open AccessMathematical and computer modelling of the nonlinear dynamics of particle beams in cyclic accelerators
Author(s) -
S. N. Andrianov,
Evgenii Krushinevskii
Publication year - 2019
Publication title -
journal of physics. conference series
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.21
H-Index - 85
eISSN - 1742-6596
pISSN - 1742-6588
DOI - 10.1088/1742-6596/1391/1/012036
Subject(s) - nonlinear system , formalism (music) , computer science , particle dynamics , differential equation , mathematics , physics , mathematical analysis , molecular dynamics , art , musical , quantum mechanics , visual arts
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.