Quasi-exact Coulomb dynamics of \(n+1\) charges \(n-1\) of which are equal

DOI10.1016/S0034-4877(17)30062-9zbMath1384.78005OpenAlexW2746003492MaRDI QIDQ1746060

Wolodymyr Skrypnik

Publication date: 19 April 2018

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0034-4877(17)30062-9

zbMATH Keywords

regular polygonspoint chargessynchronized motion

Mathematics Subject Classification ID

Motion of charged particles (78A35) (n)-body problems (70F10)

Related Items (2)

Equilibrium, regular polygons, and Coulomb-type dynamics in different dimensions ⋮ Exact and quasi-exact Newton dynamics of \(n - 1\) and \(n\) bodies \(n - 1\) of which have equal masses

Cites Work

• On exact solutions of Coulomb equation of motion of planar charges
• The Hopf bifurcation and its applications. With contributions by P. Chernoff, G. Childs, S. Chow, J. R. Dorroh, J. Guckenheimer, L. Howard, N. Kopell, O. Lanford, J. Mallet-Paret, G. Oster, O. Ruiz, S. Schecter, D. Schmidt, and S. Smale
• On regular polygon solutions of Coulomb equation of motion of n + 2 charges n of which are planar
• Mystery of point charges
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