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

DOI10.1155/2017/6751025zbMath1401.78006OpenAlexW2591725205WikidataQ59142457 ScholiaQ59142457MaRDI QIDQ1798458

Wolodymyr Skrypnik

Publication date: 23 October 2018

Published in: Advances in Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1155/2017/6751025

zbMATH Keywords

Coulomb equationCoulomb dynamicscenter Lyapunov theoremWeinstein theorem

Mathematics Subject Classification ID

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

Related Items (1)

Exact and quasi-exact Newton dynamics of \(n - 1\) and \(n\) bodies \(n - 1\) of which have equal masses

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• 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
• Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line
• Normal modes for nonlinear Hamiltonian systems
• On regular polygon solutions of Coulomb equation of motion of n + 2 charges n of which are planar
• Periodic orbits near an equilibrium and a theorem by Alan Weinstein

This page was built for publication: Quasi-exact Coulomb dynamics of \(n\) charges \(n\,-1\) of which are equal