Publications

Preprints

• Moment map reduction for nonholonomic systems (with M.E. Garcia, C. Tori, M. Zuccalli), In preparation.

Articles published (or to appear)

• First integrals and symmetries of nonholonomic systems, (with N. Sansonetto), To appear in Archive for Rational Mechanics and Analysis. [Arxiv]

• Conserved quantities and Hamiltonization of nonholonomic systems, (with Luis P. Yapu), Annales de l’Institut Henri Poincaré C, Analyse non linéaire 38 (1), 23-60, (2021). [Online available] [Arxiv]

• Minimal time splines on the sphere (with A. Cabrera, J. Koiller, T.J. Stuchi), São Paulo Journal of Mathematical Sciences 12 (1), 82-107, (2018). [Online available] [arXiv]

• Hamiltonization of solids of revolution through reduction, Journal of Nonlinear Science, 27(6), 2001–2035, (2017). [arXiv]

• About simple variational splines from the hamiltonian viewpoint (with A. Cabrera, J. Koiller, T.J. Stuchi), Journal of Geometric Mechanics, Volume 9, Number 3 pp. 257–290, (2017). [arXiv]

• A geometric characterization of certain first integrals for nonholonomic systems with symmetries (with Nicola Sansonetto) SIGMA12 018, 14 pages, (2016). [arXiv], [Journal]

• Reduction of nonholonomic systems in two stages and Hamiltonization (with Oscar E. Fernandez), Nonlinearity 28(8), 2873, (2015). [arXiv]

• The Jacobiator of nonholonomic systems and the geometry of reduced nonholonomic brackets, Archive for Rational Mechanics and Analysis. 214(2), (2014), 453-501 [arXiv]

• A global version of the Koon-Marsden Jacobiator formula, Fields Institute Communications series, special volume in memory of Jerry Marsden, Volume 73, (2015), 1-17. [arXiv]

• Gauge Transformations, Twisted Poisson Brackets and Hamiltonization of Nonholonomic Systems (with Luis Garcia-Naranjo), Archive for Rational Mechanics and Analysis. 205(1) (2012), 267-310 [arXiv]

• A unified framework for mechanics: Hamilton-Jacobi equation and applications (with J.C. Marrero, D. Martín de Diego, E. Padrón), Nonlinearity 23 (2010), 1887–1918 [arXiv]

• The ubiquity of the symplectic hamiltonian equations in mechanics (with M. de León, J. C. Marrero, D. Martín de Diego), J. Geom. Mech. 1 (2009), 1–34 [arXiv]

• On generalized non-holonomic systems (with J. Solomin), Lett. Math. Phys. 84 (2008), 15–30. [Journal]

• Orthogonal projections and the dynamics of constrained mechanical systems (with J. Solomin), Quart. Appl. Math. 66 (2008), 437–446. [Journal]