Periodic Coulomb dynamics of two identical negative charges in the field of six fixed identical positive charges

DOI10.1007/s11253-021-01900-7zbMath1471.34099OpenAlexW3173276505MaRDI QIDQ2036449

Wolodymyr Skrypnik

Publication date: 29 June 2021

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

Full work available at URL: https://doi.org/10.1007/s11253-021-01900-7

Mathematics Subject Classification ID

Periodic solutions to ordinary differential equations (34C25) Topological structure of integral curves, singular points, limit cycles of ordinary differential equations (34C05) Qualitative investigation and simulation of ordinary differential equation models (34C60) Motion of charged particles (78A35)

Related Items

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

Cites Work

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• 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
• Coulomb planar periodic motion of \(n\) equal charges in the field of \(n\) equal positive charges fixed at a line and constant magnetic field
• Two-dimensional Coulomb dynamics of two and three equal negative charges in the field of two equal fixed positive charges
• Coulomb dynamics near equilibrium of two equal negative charges in the field of two fixed identical positive charges
• Coulomb dynamics of three equal negative charges in field of fixed two equal positive charges
• Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line
• Über eine periodische Lösung im ebenen Dreikörperproblem