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, 2019, Volume 24, Issue 5, Pages 525–559
DOI: https://doi.org/10.1134/S156035471905006X (Mi rcd1025) 		 
This article is cited in 2 scientific papers (total in 2 papers)

Sergey Chaplygin Memorial Issue

Reduction of a Hamilton – Jacobi Equation for Nonholonomic Systems

Ogul Esena, Victor M. Jiménezb, Manuel de Leónc, Cristina Sardónb

a Department of Mathematics, Gebze Technical University, Gebze 41400, Kocaeli, Turkey
b ICMAT, Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas, C/ Nicolás Cabrera 13–144, 28049, Spain
c ICMAT, C/ Nicolás Cabrera 13–15, Campus Cantoblanco, UAM 28049 Madrid, Spain; Real Academia de Ciencias Exactas, Fisicas y Naturales, C/de Valverde 22, 28004 Madrid, Spain
Citations (2)
References:
PDF
HTML
DOI: https://doi.org/10.1134/S156035471905006X
Abstract: We discuss, in all generality, the reduction of the Hamilton – Jacobi equation for systems subject to nonholonomic constraints and invariant under the action of a group of symmetries.We consider nonholonomic systems subject to both linear and nonlinear constraints and with different positioning of such constraints with respect to the symmetries.
Keywords: Hamilton – Jacobi, theory of reduction, nonholonomic systems; constrained systems, nonlinear constraints, reconstruction, symplectic reduction, Marsden –Weinstein reduction, symmetries.
Funding agency Grant number
Ministerio de Economía y Competitividad de España MTM2016-76-072-P
ICMAT SEV-2011-0087
SEV-2015-0554
This work has been partially supported by MINECO Grants MTM2016-76-072-P and the ICMAT Severo Ochoa projects SEV-2011-0087 and SEV-2015-0554. V.M. Jiménez wishes to thank MINECO for a FPI-PhD position.
Received: 21.07.2019
Accepted: 28.08.2019
Bibliographic databases:
Document Type: Personalia
MSC: 37J05, 35F21, 70H20, 53D12, 37J15, 53D20, 37J60
Language: English
Citation: Ogul Esen, Victor M. Jiménez, Manuel de León, Cristina Sardón, “Reduction of a Hamilton – Jacobi Equation for Nonholonomic Systems”, Regul. Chaotic Dyn., 24:5 (2019), 525–559
Citation in format AMSBIB
\Bibitem{EseJimDe 19}
\by Ogul Esen, Victor M. Jim\'enez, Manuel de Le\'on, Cristina Sard\'on
\paper Reduction of a Hamilton – Jacobi Equation for Nonholonomic Systems
\jour Regul. Chaotic Dyn.
\yr 2019
\vol 24
\issue 5
\pages 525--559
\mathnet{http://mi.mathnet.ru/rcd1025}
\crossref{https://doi.org/10.1134/S156035471905006X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4015395}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000488949000005}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85073250413}
Linking options:
  • https://www.mathnet.ru/eng/rcd1025
  • https://www.mathnet.ru/eng/rcd/v24/i5/p525
    • 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:134
    References:28
     
      Contact us:
    		  Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024