Regular and Chaotic Dynamics
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive
Impact factor

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS


Regul. Chaotic Dyn.:
Year:
Volume:
Issue:
Page:
Find




Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register

Regular and Chaotic Dynamics, 2016, Volume 21, Issue 7-8, Pages 832–839
DOI: https://doi.org/10.1134/S1560354716070066 (Mi rcd229) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Relation Between Euler’s Elasticae and Sub-Riemannian Geodesics on $SE(2)$

Alexey Mashtakov, Andrei Ardentov, Yuri L. Sachkov

Program Systems Institute of RAS, Pereslavl-Zalessky, Yaroslavl Region, 152020 Russia
Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S1560354716070066
Abstract: In this note we describe a relation between Euler’s elasticae and sub-Riemannian geodesics on $SE(2)$. Analyzing the Hamiltonian system of the Pontryagin maximum principle, we show that these two curves coincide only in the case when they are segments of a straight line.
Keywords: elastica, sub-Riemannian geodesic, group of rototranslations.
Funding agency Grant number
Russian Foundation for Basic Research 16-31-60083 mol_a_dk
The reported study was funded by RFBR, research project No. 16-31-60083 mol_a_dk.
Received: 09.09.2016
Accepted: 02.11.2016
Bibliographic databases:
Document Type: Article
MSC: 58E10
Language: English
Citation: Alexey Mashtakov, Andrei Ardentov, Yuri L. Sachkov, “Relation Between Euler’s Elasticae and Sub-Riemannian Geodesics on $SE(2)$”, Regul. Chaotic Dyn., 21:7-8 (2016), 832–839
Citation in format AMSBIB
\Bibitem{MasArdSac16}
\by Alexey Mashtakov, Andrei Ardentov, Yuri L. Sachkov
\paper Relation Between Euler’s Elasticae and Sub-Riemannian Geodesics on $SE(2)$
\jour Regul. Chaotic Dyn.
\yr 2016
\vol 21
\issue 7-8
\pages 832--839
\mathnet{http://mi.mathnet.ru/rcd229}
\crossref{https://doi.org/10.1134/S1560354716070066}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000403091800006}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85016015437}
Linking options:
  • https://www.mathnet.ru/eng/rcd229
  • https://www.mathnet.ru/eng/rcd/v21/i7/p832
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Statistics & downloads:
    Abstract page:231
    References:60
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024