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arXiv · 2409.18648

Mechanical Hamiltonization of unreduced $\phi$-simple Chaplygin systems

Alexandre Anahory Simoes·Juan Carlos Marrero·David Martín de Diego
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Abstract

In this paper, we prove that the trajectories of unreduced $\phi$-simple Chaplygin kinetic systems are reparametrizations of horizontal geodesics with respect to a modified Riemannian metric. Furthermore, our proof is constructive and these Riemannian metrics, which are not unique, are obtained explicitly in interesting examples. We also extend these results to $\phi$-simple Chaplygin mechanical systems (not necessarily kinetic).

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Alexandre Anahory Simoes, Juan Carlos Marrero, David Martín de Diego. 2024-09-27. Mechanical Hamiltonization of unreduced $\phi$-simple Chaplygin systems. https://arxiv.org/abs/2409.18648

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