Modification of Hill's equation for the storage rings simplified models
Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 2 (2012), pp. 60-65

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An approach suggested allows to describe charged particle dynamics for linear machines in a usual 3-dimensional space. In addition, a new type of differential equations with periodic coefficients and a large parameter is derived.
Keywords: magnetic system, lattice, differential equation, asymptotics.
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     title = {Modification of {Hill's} equation for the storage rings simplified models},
     journal = {Vestnik Sankt-Peterburgskogo universiteta. Prikladna\^a matematika, informatika, processy upravleni\^a},
     pages = {60--65},
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O. E. Shishanin. Modification of Hill's equation for the storage rings simplified models. Vestnik Sankt-Peterburgskogo universiteta. Prikladnaâ matematika, informatika, processy upravleniâ, no. 2 (2012), pp. 60-65. http://geodesic.mathdoc.fr/item/VSPUI_2012_2_a6/