73 citations
Counting papers with at most 25 authors, so collaboration author lists do not stand in for the people here.
- St Petersburg UniversityRU8 papers
- Ilia State UniversityGE5 papers
- Utrecht UniversityNL5 papers
- Dalian University of TechnologyCN1 paper
- Peter the Great St. Petersburg Polytechnic UniversityRU1 paper
- Smith CollegeUS1 paper
- St. Petersburg Department of Steklov Institute of MathematicsRU1 paper
- Tampere University of TechnologyFI1 paper
- Tbilisi State UniversityGE1 paper
4 papers · 1 filter
Equilibria of three constrained point charges
G. Khimshiashvili, G. Panina, D. Siersma
We study the critical points of Coulomb energy considered as a function on configuration spaces associated with certain geometric constraints. Two settings of such kind are discuss…
Point Charges and Polygonal Linkages
Giorgi Khimshiashvili, Gaiane Panina, Dirk Siersma +1
We investigate the critical points of Coulomb potential of point charges placed at the vertices of a planar polygonal linkage. It is shown that, for a collection of positive charge…
Coulomb control of polygonal linkages
Giorgi Khimshiashvili, Gaiane Panina, Dirk Siersma
Equilibria of polygonal linkage with respect to Coulomb potential of point charges placed at the vertices of linkage are considered. It is proved that any convex configuration of a…
Morse index of a cyclic polygon
Gaiane Panina, Alena Zhukova
It is known that cyclic configurations of a planar polygonal linkage are critical points of the signed area function. In the paper, we announce an explicit formula of the Morse ind…