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Эта публикация цитируется в 2 научных статьях (всего в 2 статьях)
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
Аннотация:
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.
Ключевые слова:
Hamilton – Jacobi, theory of reduction, nonholonomic systems; constrained systems, nonlinear constraints, reconstruction, symplectic reduction, Marsden –Weinstein reduction, symmetries.
Поступила в редакцию: 21.07.2019 Принята в печать: 28.08.2019
Образец цитирования:
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
Образцы ссылок на эту страницу:
https://www.mathnet.ru/rus/rcd1025 https://www.mathnet.ru/rus/rcd/v24/i5/p525
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