The Hamilton-Jacobi equation,integrability, and nonholonomicsystems

Larry M. Bates; Francesco Fassò; Nicola Sansonetto

doi:10.3934/jgm.2014.6.441

Article Contents

2014, Volume 6, Issue 4: 441-449. Doi: 10.3934/jgm.2014.6.441

This issue Previous Article Next Article Higher-order variational problems on lie groups and optimal control applications

The Hamilton-Jacobi equation, integrability, and nonholonomic systems

1.
Department of Mathematics, University of Calgary, Calgary, AB, T2N 1N4
2.
Università di Padova, Dipartimento di Matematica Pura e Applicata, Via Trieste 63, 35121 Padova
3.
Università di Padova, Dipartimento di Matematica, Via Trieste, 63, 35121 Padova

Received: January 31, 2014

Revised: May 31, 2014

Published: November 2014

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Abstract

By examining the linkage between conservation laws and symmetry, we explain why it appears there should not be an analogue of a complete integral for the Hamilton-Jacobi equation for integrable nonholonomic systems.

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Mathematics Subject Classification: Primary: 70H20, 37J60, 70F25.

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