Cover Image

Coulomb dynamics near equilibrium of two equal negative charges in the field of fixed two equal positive charges

Periodic and quasiperiodic solutions of the Coulomb equation of motion of two equal negative charges in the field of two fixed and equal positive charges are found with the help of the Lyapunov center theorem.

Saved in:

Bibliographic Details
Date:	2016
Main Authors:	Skrypnik, W. I., Скрипник, В. І.
Format:	Article
Language:	English
Published:	Institute of Mathematics, NAS of Ukraine 2016
Online Access:	https://umj.imath.kiev.ua/index.php/umj/article/view/1920
Tags:	Add Tag No Tags, Be the first to tag this record!
Journal Title:	Ukrains’kyi Matematychnyi Zhurnal
Download file:

Institution

Ukrains’kyi Matematychnyi Zhurnal

Similar Items

Coulomb dynamics near equilibrium of two equal negative charges in the field of fixed two equal positive charges
by: W. I. Skrypnik
Published: (2016)

Periodic Coulomb dynamics of two equal negative charges in the field of four equal positive fixed charges
by: Skrypnik, W. I., et al.
Published: (2020)

Two-dimensional Coulomb dynamics of two and three equal negative charges in the field of two equal fixed positive charges
by: Skrypnik, W. I., et al.
Published: (2016)

Periodic Coulomb dynamics of three equal negative charges in the field of fixed four equal positive charges
by: Skrypnik, W. I., et al.
Published: (2021)

Periodic Coulomb dynamics of two equal negative charges in the field of six equal positive fixed charges
by: Skrypnyk, V. I., et al.
Published: (2020)

Two-dimensional Coulomb dynamics of two and three equal negative charges in the field of two equal fixed positive charges
by: V. I. Skrypnyk
Published: (2016)

Periodic Coulomb dynamics of two equal negative charges in the field of six equal positive fixed charges
by: V. I. Skrypnyk
Published: (2020)

Periodic Coulomb dynamics of two equal negative charges in the field of four equal positive fixed charges
by: V. I. Skrypnyk
Published: (2020)

Periodic Coulomb dynamics of three equal negative charges in the field of six equal positive charges fixed in octahedron vertices
by: Skrypnik, W., et al.
Published: (2023)

Periodic Coulomb dynamics of three equal negative charges in the field of fixed four equal positive charges
by: V. I. Skrypnyk
Published: (2021)

Periodic Coulomb dynamics of three equal negative charges in the field of six equal positive charges fixed in octahedron vertices
by: V. Skrypnyk
Published: (2023)

Periodic and Bounded Solutions of the Coulomb Equation of Motion of Two and Three Point Charges with Equilibrium in the Line
by: Skrypnik, W. I., et al.
Published: (2014)

Periodic and bounded solutions of the Coulomb equation of motion of two and three point charges with equilibrium in the line
by: Skrypnik, W.I.
Published: (2014)

Periodic and Bounded Solutions of the Coulomb Equation of Motion of Two and Three Point Charges with Equilibrium in the Line
by: W. I. Skrypnik
Published: (2014)

Coulomb planar periodic motion of equal charges in the field of attractive centers and a constant magnetic field
by: V. I. Skrypnyk
Published: (2016)

Mechanical systems with singular equilibria and the Coulomb dynamics of three charges
by: Skrypnik, W. I., et al.
Published: (2018)

Mechanical systems with singular equilibria and the Coulomb dynamics of three charges
by: W. I. Skrypnik
Published: (2018)

Present status of the positive space charge lense for focusing intense negative charged particle beams
by: Goncharov, A.A., et al.
Published: (2012)

Two features of dynamics of the charged particles in external magnetic field and in field of electromagnetic wave
by: Buts, V.A.
Published: (2006)

The development of the positive space charge plasma lens for manipulating high current beams of negatively charged particles
by: Dobrovolskiy, A.N., et al.
Published: (2011)

Passage of positively and negatively charged particles through straight and bent nanotubes
by: Greenenko, A.A., et al.
Published: (2001)

Two-band superconductivityin a Mo–Re alloy with an equal concentration of the components
by: V. Tarenkov, et al.
Published: (2021)

Initial Fracture of Viscoelastic Isotropic Plate with Two Collinear Cracks of Equal Length
by: A. A. Kaminskij, et al.
Published: (2014)

Analysis of Cumulant Coefficients of Two-component Mixtures of Shifted Gaussian Distributions with Equal Variances
by: A. I. Krasilnikov
Published: (2020)

Science and gender equal
by: Ya. Pohoretska, et al.
Published: (2020)

Electron states in the field of charged impurities in two-dimensional Dirac systems
by: Gorbar, E.V., et al.
Published: (2018)

Electron states in the field of charged impurities in two-dimensional Dirac systems
by: E. V. Gorbar, et al.
Published: (2018)

First-order composition-nominative logics with predicates of weak equality and of strong equality
by: Shkilniak, S.S.
Published: (2019)

First-order composition-nominative logics with predicates of weak equality and of strong equality
by: S. S. Shkilniak
Published: (2019)

On Holomorphic Solutions of the Darwin Equations of Motion of Point Charges
by: Skrypnik, W. I., et al.
Published: (2013)

On the holomorphic solutions of Hamiltonian equations of motion of point charges
by: Skrypnik, W. I., et al.
Published: (2011)

Structural supercritical instability of dirac electrons in the field of two oppositely charged nuclei
by: O. O. Sobol
Published: (2016)

Structural supercritical instability of dirac electrons in the field of two oppositely charged nuclei
by: O. O. Sobol
Published: (2016)

Positively charged microparticles in plasma
by: Chibisov, D.V., et al.
Published: (2023)

On an asymptotic equality proved by Revers
by: O. V. Motorna, et al.
Published: (2022)

Gender equality: economic issue
by: Primierova, O.K.
Published: (2013)

Some equalities in table algebras
by: V. N. Redko, et al.
Published: (2014)

Communicative equality and the politics of disagreement
by: Ye. Bystrytskyi
Published: (2020)

On quadrature formulas with equal coefficients
by: Motornyi, V. P., et al.
Published: (1995)

On an equality equivalent to the Riemann hypothesis
by: Volchkov, V. V., et al.
Published: (1995)