Publications and preprints

Publications

[P17] A Geometric Characterisation of Certain First Integrals for Nonholonomic Systems with Symmetries. Pre-Print pdf

SIGMA 12 16-pages, (2016).

(with P. Balseiro)

[P16] Conservation of `Moving Energy' in Nonholonomic Systems with Affine Constraints. Pre-Print pdf

J. Non. Sci. 4 519--544, (2016).

(with F. Fasso`)

[P15] Conservation of Energy and Momenta in Nonholonomic Systems with Affine Constraints. Pre-Print pdf

Reg. Chaotic Dyn. 2 449--462, (2015).

(with F. Fasso`)

[P14] The Hamilton--Jacobi equation, integrability and nonholonomic systems. Pre-Print pdf

J. Geom. Mech. 6 441--449, (2014).

(with L. Bates and F. Fasso`)

[P13] Twisted isotropic realisations of twisted Poisson structures. Pre-Print pdf

J. Geom. Mech. 2 233--256, (2013).

(with D. Sepe)

[P12] Esame di Stato 2011, seconda prova scritta per il liceo scientifico di Ordinamento.

Archimede 4, (2011).

[P11] Weakly Noetherian first integrals and gauge momenta. Pre-Print pdf

J. Geom. Mech. 4 129--136, (2012).

(with F. Fasso` and A. Giacobbe)

[P10] Monodromy and the Bohr--Sommerfeld Geometric Quantization.

JGSP 20, 97--106 (2010).

[P9] Hamiltonian Monodromy via geometric quantization and theta functions. Pre-Print pdf

J. Geom. Phys. 60, 501--512 (2010).

(with M. Spera).

[P8] On the number of weakly Noetherian constants of motion of nonholonomic systems. Pre-Print pdf

J. Geom. Mech., 1 389--416 (2009).

(with F. Fasso` and A. Giacobbe).

[P7] An elemental overview of the nonholonomic Noether theorem. Pre-Print pdf

IJGMMP, special issue ``Geometry of integrable systems'', 6, 1343--1355 (2009).

(with F. Fasso`).

[P6] Gauge Integrals, the Nonholonomic Momentum Equations and the Reaction--Annihilator distribution. Pre-Print pdf

Rep. Math. Phys. 62, 345--367 (2008).

(with F. Fasso` and A. Giacobbe)

[P5] The reaction-annihilator distribution and the nonholonomic Noether theorem for lifted actions. Pre-Print pdf

Regul. Chaotic Dyn. 12, 579--588 (2007).

(with F. Fasso` and A. Ramos)

[P4] Integrable Almost-symplectic Hamiltonian Systems. Pre-Print pdf

J. Math. Phys. 48, (2007).

(with F. Fasso`).

[P3] First integrals in non-holonomic mechanics.

Ph. D. Thesis, Università di Padova, (2006).

[P2] Periodic flows, Poisson structures and nonholonomic mechanics. Pre-Print pdf

Regul. Chaotic Dyn. 10, 267--284 (2005).

(with F. Fasso` and A. Giacobbe).

[P1] Remarks on Geometric Quantum Mechanics.

J. Geom. Phys. 51, 229--243 (2004).

(with A. Benvegnu` and M. Spera).

Pre-prints

[PP3] Nearly-integrable almost-symplectic Hamiltonian systems. arXiv:1601.00465v1 [mathDS] 4 Jan 2016.

(with. F. Fasso`)

[PP2] Optimal solutions of Kinodynamics Motion Plannig for the Cart-Pole System.

(with F. Boriero, A. Marigonda, R. Muradore and P. Fiorini)

[PP1] Moving Energies as first integrals of nonholonomic systems with affine constraints. arXiv:1611.08626.

(with F. Fasso` and L.G. Naranjo)