Detail publikačního výsledku

EXTREMALS AND ISOPERIMETRIC EXTREMALS OF THE ROTATIONS IN THE PLANE

KŘÍŽEK, J.; MIKEŠ, J.; PEŠKA, P.; RÝPAROVÁ, L.

Originální název

EXTREMALS AND ISOPERIMETRIC EXTREMALS OF THE ROTATIONS IN THE PLANE

Anglický název

EXTREMALS AND ISOPERIMETRIC EXTREMALS OF THE ROTATIONS IN THE PLANE

Druh

Stať ve sborníku v databázi WoS či Scopus

Originální abstrakt

In the paper we study the extremals and isoperimetric extremals of the rotations in the plane. We found that extremals of the rotations in the plane are arbitrary curves. By studying the Euler-Poisson equations for extended variational problems, we found that the isoperimetric extremals of the rotations in the Euclidian plane are straight lines.

Anglický abstrakt

In the paper we study the extremals and isoperimetric extremals of the rotations in the plane. We found that extremals of the rotations in the plane are arbitrary curves. By studying the Euler-Poisson equations for extended variational problems, we found that the isoperimetric extremals of the rotations in the Euclidian plane are straight lines.

Klíčová slova

Extremals of a rotation; isoperimetric extremals of a rotation; Euclidian plane

Klíčová slova v angličtině

Extremals of a rotation; isoperimetric extremals of a rotation; Euclidian plane

Autoři

KŘÍŽEK, J.; MIKEŠ, J.; PEŠKA, P.; RÝPAROVÁ, L.

Rok RIV

2022

Vydáno

01.01.2021

Nakladatel

INST BIOPHYSICS & BIOMEDICAL ENGINEERING BULGARIAN ACAD SCIENCES

Místo

SOFIA

Kniha

Proceedings of the International Conference on Geometry Integrability and Quantization

ISSN

1314-3247

Periodikum

Geometry, Integrability and Quantization

Svazek

22

Stát

Bulharská republika

Strany od

136

Strany do

141

Strany počet

6

URL

https://www.researchgate.net/publication/351681389_Extremals_and_Isoperimetric_Extremals_of_the_Rotations_in_the_Plane

BibTex

@inproceedings{BUT176027,
  author="Jan {Křížek} and Josef {Mikeš} and Patrik {Peška} and Lenka {Vítková}",
  title="EXTREMALS AND ISOPERIMETRIC EXTREMALS OF THE ROTATIONS IN THE PLANE",
  booktitle="Proceedings of the International Conference on Geometry Integrability and Quantization",
  year="2021",
  journal="Geometry, Integrability and Quantization",
  volume="22",
  pages="136--141",
  publisher="INST BIOPHYSICS & BIOMEDICAL ENGINEERING BULGARIAN ACAD SCIENCES",
  address="SOFIA",
  doi="10.7546/giq-22-2021-136-141",
  issn="1314-3247",
  url="https://www.researchgate.net/publication/351681389_Extremals_and_Isoperimetric_Extremals_of_the_Rotations_in_the_Plane"
}