Periodic Coulomb Dynamics of Two Identical Negative Charges in the Field of Four Identical Fixed Positive Charges
We find periodic solutions of the Coulomb d -dimensional ( d = 1 , 2 , 3) equations of motion for two identical negative point charges in the field of four identical positive point charges fixed at vertices of a rectangle. Systems of this kind have equilibrium configurations. Periodic solutions are...
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| Veröffentlicht in: | Ukrainian mathematical journal 2021-03, Vol.72 (10), p.1650-1663 |
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| container_issue | 10 |
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| container_title | Ukrainian mathematical journal |
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| creator | Skrypnik, W. I. |
| description | We find periodic solutions of the Coulomb
d
-dimensional (
d
= 1
,
2
,
3) equations of motion for two identical negative point charges in the field of four identical positive point charges fixed at vertices of a rectangle. Systems of this kind have equilibrium configurations. Periodic solutions are obtained with the help of the Lyapunov center theorem. |
| doi_str_mv | 10.1007/s11253-021-01878-2 |
| format | Article |
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d
-dimensional (
d
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,
2
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d
-dimensional (
d
= 1
,
2
,
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| fulltext | fulltext |
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| ispartof | Ukrainian mathematical journal, 2021-03, Vol.72 (10), p.1650-1663 |
| issn | 0041-5995 1573-9376 |
| language | eng |
| recordid | cdi_proquest_journals_2533363733 |
| source | SpringerLink Journals |
| subjects | Algebra Analysis Apexes Applications of Mathematics Equations of motion Geometry Mathematics Mathematics and Statistics Statistics |
| title | Periodic Coulomb Dynamics of Two Identical Negative Charges in the Field of Four Identical Fixed Positive Charges |
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