Gauge momenta as Casimir functions of nonholonomic systems
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2016
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| _version_ | 1866910035951484928 |
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| author | Garcia-Naranjo, Luis C. Montaldi, James |
| author_facet | Garcia-Naranjo, Luis C. Montaldi, James |
| contents | We consider nonholonomic systems with symmetry possessing a certain type of first integrals that are linear in the velocities. We develop a systematic method for modifying the standard nonholonomic almost Poisson structure that describes the dynamics so that these integrals become Casimir functions after reduction. This explains a number of recent results on Hamiltonization of nonholonomic systems, and has consequences for the study of relative equilibria in such systems. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_1610_05618 |
| institution | arXiv |
| publishDate | 2016 |
| record_format | arxiv |
| spellingShingle | Gauge momenta as Casimir functions of nonholonomic systems Garcia-Naranjo, Luis C. Montaldi, James Dynamical Systems 37J60, 70F25, 70H33, 70G45 We consider nonholonomic systems with symmetry possessing a certain type of first integrals that are linear in the velocities. We develop a systematic method for modifying the standard nonholonomic almost Poisson structure that describes the dynamics so that these integrals become Casimir functions after reduction. This explains a number of recent results on Hamiltonization of nonholonomic systems, and has consequences for the study of relative equilibria in such systems. |
| title | Gauge momenta as Casimir functions of nonholonomic systems |
| topic | Dynamical Systems 37J60, 70F25, 70H33, 70G45 |
| url | https://arxiv.org/abs/1610.05618 |