Ogul Esen, Victor M. Jiménez, Manuel de León, Cristina Sardón, “Reduction of a Hamilton – Jacobi Equation for Nonholonomic Systems”, Regul. Chaotic Dyn., 2019, Volume 24, Issue 5,Pages <nobr>525

This article is cited in 2 papers

Sergey Chaplygin Memorial Issue

Reduction of a Hamilton – Jacobi Equation for Nonholonomic Systems

Ogul Esen^a, Victor M. Jiménez^b, Manuel de León^c, Cristina Sardón^b

^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

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.

MSC: 37J05, 35F21, 70H20, 53D12, 37J15, 53D20, 37J60

Received: 21.07.2019
Accepted: 28.08.2019

Language: English

DOI: 10.1134/S156035471905006X