TY - JOUR
AU - W. I. Skrypnik
PY - 2016/11/25
Y2 - 2022/10/06
TI - Two-dimensional Coulomb dynamics of two and three equal negative charges in the
field of two equal fixed positive charges
JF - Ukrainsâ€™kyi Matematychnyi Zhurnal
JA - Ukr. Mat. Zhurn.
VL - 68
IS - 11
SE - Research articles
DO -
UR - http://umj.imath.kiev.ua/index.php/umj/article/view/1939
AB - Periodic and bounded for positive time solutions of the planar Coulomb equation of motion for two and three identicalnegative charges in the field of two equal fixed positive charges are found. The systems possess equilibrium configurationsto which the found bounded solutions converge in the infinite time limit. The periodic solutions are obtained with the helpof the Lyapunov center theorem.
ER -