Symbolic and Numerical Modeling of Nonlinear Dynamics of Particles in Accelerators

Sergey Andrianov, Ekaterina Sboeva

Research output

Abstract

This paper is devoted to one of the methods of symbolic computation, which based on perturbation theory and constructed in the framework of matrix formalism. This method can be used for solving optimization problems and preliminary modeling in accelerator physics. There are presented the main theoretical positions and demonstration the result of this method on example of one of classical problems.

Original languageEnglish
Title of host publicationMathematical Modeling and Computational Physics 2017, MMCP 2017
EditorsMichal Hnatic, Gheorghe Adam, Gheorghe Adam, Jan Busa, Michal Hnatic, Dmitry Podgainy
PublisherEDP Sciences
ISBN (Electronic)9782759890347
DOIs
Publication statusPublished - 14 Feb 2018
Event9th International Conference on Mathematical Modeling and Computational Physics, MMCP 2017 - Dubna
Duration: 3 Jul 20177 Jul 2017

Publication series

NameEPJ Web of Conferences
Volume173
ISSN (Print)2101-6275
ISSN (Electronic)2100-014X

Conference

Conference9th International Conference on Mathematical Modeling and Computational Physics, MMCP 2017
CountryRussian Federation
CityDubna
Period3/07/177/07/17

Fingerprint

accelerators
perturbation theory
formalism
physics
optimization
matrices

Scopus subject areas

  • Physics and Astronomy(all)

Cite this

Andrianov, S., & Sboeva, E. (2018). Symbolic and Numerical Modeling of Nonlinear Dynamics of Particles in Accelerators. In M. Hnatic, G. Adam, G. Adam, J. Busa, M. Hnatic, & D. Podgainy (Eds.), Mathematical Modeling and Computational Physics 2017, MMCP 2017 [05001] (EPJ Web of Conferences; Vol. 173). EDP Sciences. https://doi.org/10.1051/epjconf/201817305001
Andrianov, Sergey ; Sboeva, Ekaterina. / Symbolic and Numerical Modeling of Nonlinear Dynamics of Particles in Accelerators. Mathematical Modeling and Computational Physics 2017, MMCP 2017. editor / Michal Hnatic ; Gheorghe Adam ; Gheorghe Adam ; Jan Busa ; Michal Hnatic ; Dmitry Podgainy. EDP Sciences, 2018. (EPJ Web of Conferences).
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Andrianov, S & Sboeva, E 2018, Symbolic and Numerical Modeling of Nonlinear Dynamics of Particles in Accelerators. in M Hnatic, G Adam, G Adam, J Busa, M Hnatic & D Podgainy (eds), Mathematical Modeling and Computational Physics 2017, MMCP 2017., 05001, EPJ Web of Conferences, vol. 173, EDP Sciences, Dubna, 3/07/17. https://doi.org/10.1051/epjconf/201817305001

Symbolic and Numerical Modeling of Nonlinear Dynamics of Particles in Accelerators. / Andrianov, Sergey; Sboeva, Ekaterina.

Mathematical Modeling and Computational Physics 2017, MMCP 2017. ed. / Michal Hnatic; Gheorghe Adam; Gheorghe Adam; Jan Busa; Michal Hnatic; Dmitry Podgainy. EDP Sciences, 2018. 05001 (EPJ Web of Conferences; Vol. 173).

Research output

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AU - Sboeva, Ekaterina

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Andrianov S, Sboeva E. Symbolic and Numerical Modeling of Nonlinear Dynamics of Particles in Accelerators. In Hnatic M, Adam G, Adam G, Busa J, Hnatic M, Podgainy D, editors, Mathematical Modeling and Computational Physics 2017, MMCP 2017. EDP Sciences. 2018. 05001. (EPJ Web of Conferences). https://doi.org/10.1051/epjconf/201817305001