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

DOI10.1016/j.geomphys.2022.104706zbMath1504.70015OpenAlexW4308512165MaRDI QIDQ2107526

Wolodymyr Skrypnik

Publication date: 1 December 2022

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.geomphys.2022.104706

zbMATH Keywords

equilibriumresonancequasi-exact dynamics

Mathematics Subject Classification ID

(n)-body problems (70F10)

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