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Analysis and Modeling of the Charged Particle Beam Dynamics in the Charlton Trap. / Ovsyannikov, A. D.; Meshkov, I. N.; Ovsyannikov, D. A.; Eseev, M. K.

In: Physics of Particles and Nuclei Letters, Vol. 15, No. 7, 01.12.2018, p. 754-757.

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Ovsyannikov, A. D. ; Meshkov, I. N. ; Ovsyannikov, D. A. ; Eseev, M. K. / Analysis and Modeling of the Charged Particle Beam Dynamics in the Charlton Trap. In: Physics of Particles and Nuclei Letters. 2018 ; Vol. 15, No. 7. pp. 754-757.

BibTeX

@article{a844639ae1104393ad5ffc524082c3c6,
title = "Analysis and Modeling of the Charged Particle Beam Dynamics in the Charlton Trap",
abstract = "The dynamics of charged particles in the Penning–Malmberg–Surco trap with a rotating electric field [1–3] (the Charlton trap) is investigated. Two different algorithms for determining Lyapunov characteristic exponents for solutions of a nonstationary system describing the dynamics of particles in a trap are constructed and realized. This allows us to construct approximate analytical solutions and analyze the behavior of the envelope of the particle beam, and not only of individual trajectories. The asymptotic stability of motions of charged particles is checked for a different choice of the system parameters and their relations.",
author = "Ovsyannikov, {A. D.} and Meshkov, {I. N.} and Ovsyannikov, {D. A.} and Eseev, {M. K.}",
year = "2018",
month = dec,
day = "1",
doi = "10.1134/S1547477118070543",
language = "English",
volume = "15",
pages = "754--757",
journal = "Physics of Particles and Nuclei Letters",
issn = "1547-4771",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "7",

}

RIS

TY - JOUR

T1 - Analysis and Modeling of the Charged Particle Beam Dynamics in the Charlton Trap

AU - Ovsyannikov, A. D.

AU - Meshkov, I. N.

AU - Ovsyannikov, D. A.

AU - Eseev, M. K.

PY - 2018/12/1

Y1 - 2018/12/1

N2 - The dynamics of charged particles in the Penning–Malmberg–Surco trap with a rotating electric field [1–3] (the Charlton trap) is investigated. Two different algorithms for determining Lyapunov characteristic exponents for solutions of a nonstationary system describing the dynamics of particles in a trap are constructed and realized. This allows us to construct approximate analytical solutions and analyze the behavior of the envelope of the particle beam, and not only of individual trajectories. The asymptotic stability of motions of charged particles is checked for a different choice of the system parameters and their relations.

AB - The dynamics of charged particles in the Penning–Malmberg–Surco trap with a rotating electric field [1–3] (the Charlton trap) is investigated. Two different algorithms for determining Lyapunov characteristic exponents for solutions of a nonstationary system describing the dynamics of particles in a trap are constructed and realized. This allows us to construct approximate analytical solutions and analyze the behavior of the envelope of the particle beam, and not only of individual trajectories. The asymptotic stability of motions of charged particles is checked for a different choice of the system parameters and their relations.

UR - http://www.scopus.com/inward/record.url?scp=85058932940&partnerID=8YFLogxK

U2 - 10.1134/S1547477118070543

DO - 10.1134/S1547477118070543

M3 - Article

AN - SCOPUS:85058932940

VL - 15

SP - 754

EP - 757

JO - Physics of Particles and Nuclei Letters

JF - Physics of Particles and Nuclei Letters

SN - 1547-4771

IS - 7

ER -

ID: 37202820