Mathematical and computer modelling of the nonlinear dynamics of particle beams in cyclic accelerators

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 th...

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Bibliographic Details
Published in:Journal of physics. Conference series 2019-11, Vol.1391 (1), p.12036
Main Authors: Andrianov, S.N., Krushinevskii, E.A.
Format: Article
Language:English
Subjects:
Algorithms
Artificial intelligence
Cyclic accelerators
Formalism
Mathematical analysis
Mathematical models
Matrices (mathematics)
Nonlinear differential equations
Nonlinear dynamics
Particle accelerators
Particle beams
Physics
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Summary: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.
ISSN:1742-6588
1742-6596
DOI:10.1088/1742-6596/1391/1/012036