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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
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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
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    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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