TY - JOUR AU - W. I. Skrypnik PY - 2020/10/25 Y2 - 2024/03/28 TI - Periodic Coulomb dynamics of two equal negative charges in the field of four equal positive fixed charges JF - Ukrains’kyi Matematychnyi Zhurnal JA - Ukr. Mat. Zhurn. VL - 72 IS - 10 SE - Research articles DO - 10.37863/umzh.v72i10.741 UR - https://umj.imath.kiev.ua/index.php/umj/article/view/741 AB - UDC 517.9We found periodic solutions of the Coulomb $d$-dimensional $(d=1,2,3)$ equation of motion for two equal negative point charges in the field of four equal positive point charges fixed at vertices of a parallelepiped. These systems possess an equilibrium configuration. The periodic solutions are obtained with the help of Lyapunov's central theorem. ER -