Reduction of a Hamilton — Jacobi Equation for Nonholonomic Systems


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We discuss, in all generality, the reduction of a Hamilton — Jacobi theory 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.

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Oğul Esen

Department of Mathematics

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Email: oesen@gtu.edu.tr
土耳其, Gebze, Kocaeli, 41400

Victor Jiménez

Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas

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Email: victor.jimenez@icmat.es
西班牙, C/ Nicolás Cabrera 13-144, Zapopan, 28049

Manuel de León

Campus Cantoblanco, UAM; Fisicas y Naturales

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Email: mdeleon@icmat.es
西班牙, C/ Nicolás Cabrera 13-15, Madrid, 28049; C/de Valverde 22, Madrid, 28004

Cristina Sardón

Instituto de Ciencias Matemáticas, Consejo Superior de Investigaciones Científicas

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Email: cristinasardon@icmat.es
西班牙, C/ Nicolás Cabrera 13-144, Zapopan, 28049

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