Abstract
Non-holonomic mechanical systems can be described by a degenerate almostPoisson structure [10] (dropping the Jacobi identity) in the constrained space. If enough symmetries transversal to the constraints are present, the system reduces to a nondegenerate almost-Poisson structure on a “compressed” space. Here we show, in the simplest non-holonomic systems, that in favorable circumnstances the compressed system is conformally symplectic, although the “noncompressed” constrained system never admits a Jacobi structure (in the sense of Marie et al. [4] [9]).
We thank LNCC for PCI/CNPq/Brazil fellowships.
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de M. Rios, P., Koiller, J. (2004). Non-Holonomic Systems with Symmetry Allowing a Conformally Symplectic Reduction. In: Delgado, J., Lacomba, E.A., Llibre, J., Pérez-Chavela, E. (eds) New Advances in Celestial Mechanics and Hamiltonian Systems. Springer, Boston, MA. https://doi.org/10.1007/978-1-4419-9058-7_15
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DOI: https://doi.org/10.1007/978-1-4419-9058-7_15
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