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Point Charges and Polygonal Linkages. / Khimshiashvili, G.; Panina, G.; Siersma, D.; Zolotov, V.

In: Journal of Dynamical and Control Systems, 2015.

Research output: Contribution to journal › Article

Harvard

Khimshiashvili, G, Panina, G, Siersma, D & Zolotov, V 2015, 'Point Charges and Polygonal Linkages', Journal of Dynamical and Control Systems. https://doi.org/10.1007/s10883-015-9286-3

APA

Khimshiashvili, G., Panina, G., Siersma, D., & Zolotov, V. (2015). Point Charges and Polygonal Linkages. Journal of Dynamical and Control Systems. https://doi.org/10.1007/s10883-015-9286-3

Vancouver

Khimshiashvili G, Panina G, Siersma D, Zolotov V. Point Charges and Polygonal Linkages. Journal of Dynamical and Control Systems. 2015. https://doi.org/10.1007/s10883-015-9286-3

Author

Khimshiashvili, G. ; Panina, G. ; Siersma, D. ; Zolotov, V. / Point Charges and Polygonal Linkages. In: Journal of Dynamical and Control Systems. 2015.

BibTeX

@article{1633f427456b4cf78e4dccd159595bd9,
title = "Point Charges and Polygonal Linkages",
abstract = "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 charges on a pentagonal linkage, there is a unique critical point in the set of convex configurations which is the point of absolute minimum. This enables us to prove that two controlling charges are sufficient to navigate between any two convex configurations of a pentagonal linkage.",
author = "G. Khimshiashvili and G. Panina and D. Siersma and V. Zolotov",
year = "2015",
doi = "10.1007/s10883-015-9286-3",
language = "English",
journal = "Journal of Dynamical and Control Systems",
issn = "1079-2724",
publisher = "Springer Nature",

}

RIS

TY - JOUR

T1 - Point Charges and Polygonal Linkages

AU - Khimshiashvili, G.

AU - Panina, G.

AU - Siersma, D.

AU - Zolotov, V.

PY - 2015

Y1 - 2015

N2 - 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 charges on a pentagonal linkage, there is a unique critical point in the set of convex configurations which is the point of absolute minimum. This enables us to prove that two controlling charges are sufficient to navigate between any two convex configurations of a pentagonal linkage.

AB - 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 charges on a pentagonal linkage, there is a unique critical point in the set of convex configurations which is the point of absolute minimum. This enables us to prove that two controlling charges are sufficient to navigate between any two convex configurations of a pentagonal linkage.

U2 - 10.1007/s10883-015-9286-3

DO - 10.1007/s10883-015-9286-3

M3 - Article

JO - Journal of Dynamical and Control Systems

JF - Journal of Dynamical and Control Systems

SN - 1079-2724

ER -

ID: 3986561