Francesco Fassò
|
Francesco Fassò |
Publications:
(The postscript files for the prepints of the new articles and of some of those already published can be downloaded by clicking on the Preprint icon. Please note that the preprint may differ from the published article: existing laws forbid (I think) to modify preprints after the transfer of copyright. Should you be interested in a reprint of the article, please contact me)
[39] On the number of Weakly--Noetherian constants of motions of nonholonomic
systems. Preprint
- PDF
Journal of Geometric Mechanics 4, 389-416 (2009)
(with A. Giacobbe and N. Sansonetto)
[38] An elemental overview of the nonholonomic Noether theorem. Preprint
- PDF
International Journal of Geometric Methods in Modern Physics 6,
1343-1355 (2009)
(with N. Sansonetto)
[37] Gauge conservation laws and the momentum equation in nonholonomic
mechanics.
Reports on Mathematical Physics 62, 345-367 (2008) Preprint
- PDF
(with A. Giacobbe and N. Sansonetto)
[36] The exact computation of the free
rigid body motion and its use in splitting methods.
Preprint - PDF
Siam Journal on Scientific Computing 30, 2084-2112 (2008)
(with E. Celledoni, N. Safstrom and A. Zanna)
[35] An affine model for the actions in
an integrable system with monodromy
Regular and Chaotic Dynamics 12, 675-679 (2007) (Special issue dedicated to
Richard Cushman)
(with L. Bates)
[34] The reaction-annihilator distribution
and the nonholonomic Noether theorem for lifted actions. Revised
version - PDF
Regular and Chaotic Dynamics 12, 579-588 (2007) (Special issue dedicated to
Richard Cushman)
(with A. Ramos and N. Sansonetto)
[33] Integrable almost--symplectic
Hamiltonian systems. Preprint
- PDF
Journal of Mathematical Physics 48, no. 9, 092902 (2007).
(with N. Sansonetto)
[32] Geometry of invariant tori of
certain integrable systems with symmetry and an application to a nonholonomic
system. Article
- PDF
Sigma-Symmetry, Integrability and Geometry: Methods and
Applications 3, article 051 (2007)
(with A. Giacobbe)
[31] A Hamiltonian KAM theorem for
bundles of Lagrangean tori Preprint -
PDF
Ergodic Theory and Dynamical Systems 27 (3), 725-741
(2007).
(with H. Broer, R. Cushman and F. Takens)
[30] The conjugate locus for the Euler top.
I. The axisymmetric case. Preprint
- Zipped PS
International Mathematical Forum 2 (43), 2109-2139 (2007).
(with L. Bates)
[29] Long--term stability of proper rotations
and local chaotic motions in the perturbed Euler
rigid body
Regular and Chaotic Mechanics 11, 267-284 (2005).
(with G. Benettin and M. Guzzo)
[28] Superintegrable Hamiltonian systems:
geometry and perturbations.
Acta Applicandae Mathematicae 87, 93-121 (2005) Preprint
(revised version) -PS
[27] Periodic
flows, Poisson structures, and
Nonholonomi mechanics. Preprint
(Second version, 2005) -PS
Regular and Chaotic Mechanics 10, 267-284 (2005).
(with A. Giacobbe and N. Sansonetto)
[26] A Hamiltonian KAM theorem for
bundles of Lagrangean tori
In: F. Dumortier, H.W. Broer, J. Mahwin and S.M. Verduyn-Lunel (eds),
EQUADIFF 2003, pg 696--701 (World Scientific, Singapore, 2005)
(with H. Broer and R. Cushman)
[25] Long--term stability of proper rotations of the perturbed
Euler rigid body Preprint
(revised version)-PS
Communications in Mathematical Physics 250,
133-160 (2004)
(with G. Benettin and M. Guzzo)
[24] An algorithm for detecting Directional
Quasi-Convexity Preprint
(revised version) - PS
BIT - Numerical Mathematics 44, 571-584 (2004)
(with H.Dullin)
[23] Comparison of splitting algorithms for the
rigid body Preprint-PS
Journal of Computational Physics (Vol. 189, 527-538, 10 August 2003)
[22] Geometric structure of "broadly
integrable" Hamiltonian systems Preprint-PS
Journal of Geometry and Physics 44, 156-170 (2002)
(with A. Giacobbe)
[21] Regular and chaotic motions of the fast
rotating rigid body: a numerical study Preprint-PS
(3.7 MB) Preprint-ZippedPS (1.2 MB)
Discrete and Continuos Dynamical Systems, Series B 2,521--540 (2002)
(with G. Benettin and A.M. Cherubini)
[20] A "changing chart" symplectic algorithm
for rigid bodies and other Hamiltonian systems on manifolds" Preprint-PS
SIAM Journal on Scientific Computing 23, 1189-1203 (2001)
(with G. Benettin and A.M. Cherubini)
[19] Stability properties of the Riemann ellipsoids
Preprint-PS
Archive for Rational Mechanics and Analysis 158, 259-292 (2001)
(with D. Lewis)
[18] Nekhoroshev-stability of L4 and L5 in
the spatial restricted three-body problem
Regular and Chaotic Dynamics 3,
56-72
(1998).
(with G. Benettin and M. Guzzo)
NOTE: For an editorial error, the
journal published a preliminary version of the article, which is
significantly different from the final version in a few points (including
some of the numerical results). The correct version of the article can
be downloaded from the web
page of the journal or else from here,
as a postscript file.
[17] On the stability of elliptic equilibria
Article-PS
MPEJ - Mathemathical Physics Electronic Journal
4,
Paper
1 (1998).
(with G. Benettin and M. Guzzo)
[16] Compatibility of symplectic structures
adapted to noncommutatively integrable systems Preprint-PS
Journal of Geometry and Physics 27, 199-220
(1998).
(with T. Ratiu)
[15] Nekhoroshev--stability of elliptic equilibria
of Hamiltonian systems Preprint-PS
Communications in Mathematical Physics 197,
347-360
(1998).
(with G. Benettin and M. Guzzo)
[14] From Hamiltonian perturbation theory to
symplectic integrators and back Preprint-PS
Applied Numerical Mathematics 29, 73-87
(1999).
(with G. Benettin)
[13] Fast rotations of the rigid body: A study
by Hamiltonian perturbation theory.
Part II: Gyroscopic rotations
Nonlinearity 10, 1695-1717 (1997)
(with G. Benettin and M. Guzzo)
[12] On
the conservation of adiabatic invariants for a system of coupled rotators
Physica D 104, 253--268 (1997)
(with G. Benettin and A. Carati)
[11] Fast rotations of the rigid body
In New trends in Hamiltonian Systems
and Celestial Mechanics, J. Llibre e A. Lacomba ed.,
Advanced Series on Nonlinear Dynamics 8, pag.
163-177 (World Scientific, Singapore, 1996).
[10] Quasi--periodicity
of motions and complete integrability of Hamiltonian systems Preprint-PS
Ergodic Theory and Dynamical Systems 18,
1349-1362 (1998)
[9] The Euler--Poinsot top: a non--commutatively
integrable system without global action--angle coordinates
Journal of Applied Mathematics and Physics (ZAMP)
47,
953-976 (1996)
[8] Fast rotations of the rigid body:
A study by Hamiltonian perturbation theory. Part I.
Nonlinearity 9, 137-186 (1996)
(with G. Benettin)
[7] Hamiltonian perturbation theory on
a manifold
Celestial Mechanics and Dynamical Astronomy
62, 43-69 (1995)
[6] Perturbation theory for systems without
global action--angle coordinates
In Hamiltonian Mechanics: Integrability and
Chaotic Behaviour, J. Seimenis editor,
pg. 113-120 (Plenum, New York, 1994)
[5] Classical ``freezing'' of plane rotations:
a proof of the Boltzmann--Jeans conjecture
Journal of Statistical Physics 63, 737-760
(1991)
(with G. Benettin)
[4] Lie series method for vector fields
and Hamiltonian perturbation theory
Journal of Applied Mathematics and Physics (ZAMP)
41,
843-864 (1990)
[3] Exponential estimates on the one dimensional
Schroedinger equation with bounded analytic potential
Annales de l'Institut Henri Poincare - Physique
theorique 51, 45-66 (1989)
(with G. Benettin and L. Chierchia)
[2] On a relation among Lie series
Celestial Mechanics and Dynamical Astronomy
46, 113-118 (1989)
[1] Composition of Lie transforms with rigorous estimates and applications
to Hamiltonian
perturbation theory
Journal of Applied Mathematics and Physics (ZAMP) 40, 307-329
(1989)
(with G. Benettin)
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