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

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Mathematical and computer modelling of the nonlinear dynamics of particle beams in cyclic accelerators. / Andrianov, S. N.; Krushinevskii, E. A.

в: Journal of Physics: Conference Series, Том 1391, № 1, 012036, 13.12.2019.

Результаты исследований: Научные публикации в периодических изданиях › статья в журнале по материалам конференции › Рецензирование

BibTeX

@article{3e7c2fc750764d9da699681233243bb8,

title = "Mathematical and computer modelling of the nonlinear dynamics of particle beams in cyclic accelerators",

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.",

author = "Andrianov, {S. N.} and Krushinevskii, {E. A.}",

year = "2019",

month = dec,

day = "13",

doi = "10.1088/1742-6596/1391/1/012036",

language = "English",

volume = "1391",

journal = "Journal of Physics: Conference Series",

issn = "1742-6588",

publisher = "IOP Publishing Ltd.",

number = "1",

note = "8th International Conference on Mathematical Modeling in Physical Science, IC-MSQUARE 2019 ; Conference date: 26-08-2019 Through 29-08-2019",

}

RIS

TY - JOUR

T1 - Mathematical and computer modelling of the nonlinear dynamics of particle beams in cyclic accelerators

AU - Andrianov, S. N.

AU - Krushinevskii, E. A.

PY - 2019/12/13

Y1 - 2019/12/13

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=85077822866&partnerID=8YFLogxK

U2 - 10.1088/1742-6596/1391/1/012036

DO - 10.1088/1742-6596/1391/1/012036

M3 - Conference article

AN - SCOPUS:85077822866

VL - 1391

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

SN - 1742-6588

IS - 1

M1 - 012036

T2 - 8th International Conference on Mathematical Modeling in Physical Science, IC-MSQUARE 2019

Y2 - 26 August 2019 through 29 August 2019

ER -

ID: 51672202