Periodic and Bounded Solutions of the Coulomb Equation of Motion of Two and Three Point Charges with Equilibrium in the Line

被引:8
|
作者
Skrypnik, W. I. [1 ]
机构
[1] Ukrainian Natl Acad Sci, Inst Math, Kiev, Ukraine
关键词
THEOREM;
D O I
10.1007/s11253-014-0970-3
中图分类号
O29 [应用数学];
学科分类号
070104 ;
摘要
Periodic and bounded solutions of the Coulomb equation of motion in the line are obtained for two and three identical negative point charges in the fields of two and three symmetrically located fixed point charges. The systems possess equilibrium configurations. The Lyapunov, Siegel, Moser, and Weinstein theorems are applied.
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页码:758 / 774
页数:17
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