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On the area of constrained polygonal linkages. / Panina, G.; Siersma, D.

In: Topology and its Applications, Vol. 238, 01.04.2018, p. 32-44.

Research output: Contribution to journal › Article › peer-review

Harvard

Panina, G & Siersma, D 2018, 'On the area of constrained polygonal linkages', Topology and its Applications, vol. 238, pp. 32-44. https://doi.org/10.1016/j.topol.2018.02.004

APA

Panina, G., & Siersma, D. (2018). On the area of constrained polygonal linkages. Topology and its Applications, 238, 32-44. https://doi.org/10.1016/j.topol.2018.02.004

Vancouver

Panina G, Siersma D. On the area of constrained polygonal linkages. Topology and its Applications. 2018 Apr 1;238:32-44. https://doi.org/10.1016/j.topol.2018.02.004

Author

Panina, G. ; Siersma, D. / On the area of constrained polygonal linkages. In: Topology and its Applications. 2018 ; Vol. 238. pp. 32-44.

BibTeX

@article{797b701aca264c619fe22765eb617e41,
title = "On the area of constrained polygonal linkages",
abstract = "Consider a mechanical linkages whose underlying graph is a polygon with a diagonal constraint, or more general, a partial two-tree. We show that (with an appropriate definition) the oriented area is a Bott–Morse function on the configuration space of the linkage. Its critical points are described and Bott–Morse indices are computed. This paper is a generalization of analogous results for polygonal linkages (obtained earlier by G. Khimshiashvili, G. Panina, and A. Zhukova).",
keywords = "Индекс Морса, функция Ботта-Морса, конфигурационное пространство , Critical point, Morse index, Partial two-tree, Pitchfork bifurcation, Two-terminal series-parallel graph",
author = "G. Panina and D. Siersma",
year = "2018",
month = apr,
day = "1",
doi = "10.1016/j.topol.2018.02.004",
language = "English",
volume = "238",
pages = "32--44",
journal = "Topology and its Applications",
issn = "0166-8641",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - On the area of constrained polygonal linkages

AU - Panina, G.

AU - Siersma, D.

PY - 2018/4/1

Y1 - 2018/4/1

N2 - Consider a mechanical linkages whose underlying graph is a polygon with a diagonal constraint, or more general, a partial two-tree. We show that (with an appropriate definition) the oriented area is a Bott–Morse function on the configuration space of the linkage. Its critical points are described and Bott–Morse indices are computed. This paper is a generalization of analogous results for polygonal linkages (obtained earlier by G. Khimshiashvili, G. Panina, and A. Zhukova).

AB - Consider a mechanical linkages whose underlying graph is a polygon with a diagonal constraint, or more general, a partial two-tree. We show that (with an appropriate definition) the oriented area is a Bott–Morse function on the configuration space of the linkage. Its critical points are described and Bott–Morse indices are computed. This paper is a generalization of analogous results for polygonal linkages (obtained earlier by G. Khimshiashvili, G. Panina, and A. Zhukova).

KW - Индекс Морса, функция Ботта-Морса, конфигурационное пространство

KW - Critical point

KW - Morse index

KW - Partial two-tree

KW - Pitchfork bifurcation

KW - Two-terminal series-parallel graph

UR - http://www.scopus.com/inward/record.url?scp=85044296625&partnerID=8YFLogxK

U2 - 10.1016/j.topol.2018.02.004

DO - 10.1016/j.topol.2018.02.004

M3 - Article

VL - 238

SP - 32

EP - 44

JO - Topology and its Applications

JF - Topology and its Applications

SN - 0166-8641

ER -

ID: 14085948