Francesco Fassò
|
Francesco Fassò |
Publications
[56] On some aspects of the dynamics of a ball in a rotating surface of
revolution and of the kasamawashi art
(with N. Sansonetto)
Regular & Chaotic Dynamics 27 (2022), 409-423.
Link to
published article
[55] Perturbations of Superintegrable Hamiltonian Systems.
In: Meyers, R.A. (eds) Encyclopedia of Complexity and Systems Science.
Springer, Berlin, Heidelberg (2022).
Link to
published article
[54] On the dynamics of a heavy symmetric ball that rolls without sliding
on a uniformly rotating surface of revolution
(with M. Dalla Via and N. Sansonetto)
Journal of Nonlinear Science 32 (2022), article 84.
Link to
published article
[53] Computing
the Cut Locus of a Riemannian Manifold via Optimal Transport
(with E. Facca, L. Berti and M. Putti)
ESAIM: Mathematical Modelling and Numerical Analysis 56 (2022), 1939-1954
Link
to published article
[52] Control of locomotion
systems and dynamics in relative periodic orbits
Journal of Geometric Mechanics 12
(2020), 395-420.
(with S. Passarella and M. Zoppello)
Link
to published article
[51] Integrability and dynamics
of the n-dimensional symmetric Veselova top
Journal of Nonlinear Science 29
(2019), 1205-1246.
(with L. Garcia-Naranjo and J. Montaldi)
Link
to published article
[50] Moving energies as first integrals of
nonholonomic systems with affine constraints Preprint
(revised version)
Nonlinearity 31 (2018), 755-782.
(with L. Garcia-Naranjo and N. Sansonetto)
[49] Quantum manifestations of Nekhoroshev stability
Physics Letters A 380 (2016), 3167-3172
(with D. Fontanari and D. Sadovskii)
[48] An application of Nekhoroshev theory to the study of the perturbed hydrogen atom
Preprint
Mathematical Physics, Analysis and
Geometry 18, Issue 1 (2015)
(with D. Fontanari and D. Sadovskii)
[47] Conservation of energy and momenta in
nonholonomic systems with affine constraints
Preprint
Regular and Chaotic Dynamics 20 (2015),
449-462
(with N. Sansonetto)
[46] Conservation of `moving' energy in
nonholonomic systems with affine constraints and integrability of spheres on
rotating surfaces
Preprint
Journal of Nonlinear Science 26 (2016),
519-544 (available as Online
First)
(with N. Sansonetto)
[45] No monodromy in the champagne bottle,
or
singularities of a superintegrable system Preprint
Journal of Geometric Mechanics 8
(2016), 375-389.
(with L. Bates)
[44] Quasi-periodicity in relative
quasi-periodic tori. Preprint
Nonlinearity 28 (2015) 4281-4301
(with A. Giacobbe and L. Garcia-Naranjo)
[43] The Hamilton-Jacobi equation,
integrability, and nonholonomic systems.
Preprint
- PDF
Journal of Geometric Mechanics 6
(2014), 441-449
(with L. Bates and N. Sansonetto)
[42] Erratum to: Stability
properties of the Riemann ellipsoids.
Preprint
- PDF
Arch. Ration. Mech. Anal. 212
(2014), 1065-1069.
(with D. Lewis)
[41] Il corpo rigido in rapida rotazione: una moderna
visione hamiltoniana, in: Complementi alle lezioni di Meccanica
Razionale di T. Levi--Civita e U. Amaldi, E.N.M. Cirillo, G. Maschio, T.
Ruggeri and G. Saccomandi editors (Edizioni Compumat, 2012).
(with G. Benettin and M.Guzzo)
[40] Linear weakly Noetherian constants
of motion are horizontal gauge momenta.
Preprint
- PDF
Journal of Geometric Mechanics 4 (2012), 129-136.
(with A. Giacobbe and N. Sansonetto)
[39] On the number of Weakly-Noetherian constants of motions of nonholonomic
systems. Preprint
- PDF
Journal of Geometric Mechanics 1, 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] Geometry of KAM
tori for nearly integrable Hamiltonian systems 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 (2006).
(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)
Back to the top of the page
Back to the main
page