Two-dimensional Coulomb dynamics of two and three equal negative charges in the field of two equal fixed positive charges

DOI10.1007/S11253-017-1326-6zbMath1447.70011OpenAlexW2611451340MaRDI QIDQ1729391

Xianqiang Yang

Publication date: 27 February 2019

Published in: Ukrainian Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11253-017-1326-6

zbMATH Keywords

equilibrium configurationsLyapunov center theoremperiodic and bounded solutionsplanar Coulomb equations of motion

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Three-body problems (70F07) Periodic orbits of vector fields and flows (37C27) Motion of charged particles (78A35) Periodic and almost periodic solutions for problems in Hamiltonian and Lagrangian mechanics (70H12)

Related Items (7)

Coulomb planar periodic motion of \(n\) equal charges in the field of \(n\) equal positive charges fixed at a line and constant magnetic field ⋮ Periodic Coulomb dynamics of three identical negative charges in the field of four fixed identical positive charges ⋮ Periodic Coulomb dynamics of three identical negative charges in the field of six identical positive charges fixed at the vertices of octahedron ⋮ Coulomb dynamics of three equal negative charges in field of fixed two equal positive charges ⋮ Periodic Coulomb dynamics of two identical negative charges in the field of four identical fixed positive charges ⋮ Periodic Coulomb dynamics of two identical negative charges in the field of six fixed identical positive charges ⋮ Periodic Coulomb dynamics of three equal negative charges in the field of equal positive charges fixed in octagon vertices

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• On the holomorphic solutions of Hamiltonian equations of motion of point charges
• On exact solutions of Coulomb equation of motion of planar charges
• Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line
• On holomorphic solutions of the Darwin equations of motion of point charges

This page was built for publication: Two-dimensional Coulomb dynamics of two and three equal negative charges in the field of two equal fixed positive charges