PUBLICATIONS BY DARIO BAMBUSI
Papers
- D. Bambusi: Asymptotic
stability of ground states in some Hamiltonian PDEs with symmetry.
Preprint 2011.
- D. Bambusi, S. Cuccagna, On dispersion of small energy solutions of
the nonlinear Klein Gordon equation with a potential, Amer. J. of Math. 133 5, (2011), 1421-1468
- Bambusi, D.; Berti, M.; Magistrelli, E. Degenerate KAM theory for partial
differential equations. J. Differential Equations
250 (2011), 8, 3379–3397,
- D. Bambusi, S. Paleari, T. Penati: Existence and continuous
approximation of small amplitude breathers in 1D and 2D Klein--Gordon
lattices. Applicable
Analysis, 89, 9, 1313-1334, (2010)
- D. Bambusi, T. Penati, Continuous approximation of
breathers in one and two dimensional DNLS lattices, Nonlinearity, 23,
1, 143-157(2010).
- Dario Bambusi, Thomas Kappeler, Thierry Paul. De Toda à KdV. C.
R. Math. Acad. Sci. Paris 347
(2009), no. 17-18,
1025–1030,
- D. Bambusi, A. Carati, T. Penati: Boundary effects on the dynamics of chains
of coupled oscillators. Nonlinearity, 22, 4, 923-946 (2009).
- D. Bambusi, D. Muraro, T. Penati: Numerical
studies on boundary effects on the
FPU paradox. Phys. Lett. A 2008.
- B. Bambusi, J.M. Delort, B. Grebert, J.
Szeftel: Almost global
existence
for Hamiltonian semi-linear Klein-Gordon equations with small Cauchy
data on Zoll manifolds. Commun. Pure Appl. Math. 2007
- D.Bambusi: Galerkin
averaging
method and Poincare' normal form for some quasilinear PDEs.
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5)
4 (2005), no. 4,
669--702
- D.Bambusi, A. Ponno: On metastability
in
FPU. Comm. Math. Phys. 264 (2006),
no. 2, 539--561.
- A. Ponno, D. Bambusi: KdV equation and energy sharing in FPU.
To
appear in Chaos, special issue on FPU.
- D.Bambusi, B. Grebert: Birkhoff normal form for PDEs with tame
modulus. To appear in Duke Math. J.
- D. Bambusi: Families of periodic solutions of
reversible
PDEs. To appear in Handbook of Dynamical systems.
- D. Bambusi, M. Berti: A
Birkhoff--Lewis Type theorem for some Hamiltonian PDEs. To
appear in SIAM J. of Math. Analysis.
- D.Bambusi, B. Grebert: Forme
Normale
pour NLS en dimension quelconque. C.R. Acad. Sci. Paris, Ser I 337,
409-414
(2003).
- D. Bambusi: An
Averaging
Theorem for Quasilinear Hamiltnian PDEs. Annales Henri Poincare 4,
685-712 (2003)
- D. Bambusi: Birkhoff
normal
form for some nonlinear PDEs. . Commun. Math. Phys. 234
(2003),
2,53--285.
- D. Bambusi, D. Vella: Quasi
periodic
breathers in Hamiltonian lattices with symmetries, DCDS-B, 2,
389-399
(2002).
- D. Bambusi, G. Gaeta: On persistence of
invariant
tori and a theorem by Nekhoroshev, MPEJ, 8, 1 (2002)
- D.Bambusi, S. Paleari: Families
of
periodic orbits for some PDE's in higher dimensionsCommunications
on
Pure and Applied Analysis, 1, 269-279 (2002)
- D. Bambusi, A. Carati, A. Ponno: The
nonlinear
Schroedinger euation as a resonant normal form DCDS-B, 2,
109--128 (2002)
- D. Bambusi, N.N. Nekhoroshev: Long time
stability in perturbations of completely resonant PDE's Acta
Applicandae Mathematicae, 70, 1-22, (2002).
- D. Bambusi, S. Graffi. Time
Quasi-periodic
unbounded perturbations of Schr\"odinger operators and KAM methods Commun.
Math.
Phys. 219 (2001), 465--480.
- D. Bambusi, S. Paleari: Families
of
periodic
solutions in resonant PDE's. J. Nonlinear
Science, 11, 69-87 (2001).
- S. Paleari, D. Bambusi, S. Cacciatori:
Normal
form
and
exponential stability for some nonlinear string equations.ZAMP 52
(2001), 1033-1052.
- D. Bambusi: On
Lyapunov
center theorem for some nonlinear PDE's: a simple proof. .
Ann. Sc.
Norm. Sup. Pisa Cl. Scienze, 29, 823-837 (2000).
- D. Bambusi, G. Gaeta: Invariant
tori
for non conservative perturbations of integrable systems.
NoDEA, 8 (2001), 99--116.
- D. Bambusi, S. Graffi, T. Paul: Long time
semiclassical approximation of quantum flows: a proof of the Ehrenfest
time, Asymptotic
Anal., 21, 149-160 (1999).
- D. Bambusi, S. Graffi, T. Paul: Normal forms
and quantization formulae. Commun. Math. Phys., 207,
173-195, (1999).
- D. Bambusi: On
the
dynamics of the Holstein model from the anticontiuum limit. J.
Math.
Phys., 40, 3710--3717, (1999).
- D. Bambusi: On long time
stability
in Hamiltonian perturbations of nonresonant linear pde's,
Nonlinearity, 12, 823-850, (1999).
- D. Bambusi: On
Darboux
theorem for weak symplectic manifolds. Proc. Amer. Math. Soc., 127,
3383--3391,
(1999).
- D. Bambusi: Nekhoroshev
theorem
for small amplitude solutions in nonlinear Schroedinger
equations.
Math. Z., 130, 345-387, (1999).
- D. Bambusi, N.N Nekhoroshev: A
property
of exponential stability in the nonlinear wave equation close to main
linear
mode. Physica D, 122, 73-104 (1998).
- D.Bambusi: Some
stability
properties of breathers in hamiltonian networks of oscillators,
Physica
D, 119 47-55 (1998).
- D. Bambusi, G. Cicogna, G. Gaeta, G.
Marmo: Normal
forms,
symmetry,
and Linearization of dynamical systems. J. Phys. A, 31,
5065--5082 (1998).
- D. Bambusi: Long
time
stability of some small amplitude solutions in nonlinear Schroedinger
equations.Comm. Math. Phys. 189 (1997), 205--226
- D.Bambusi: A proof
of
the Lorentz Dirac equation for charged point particles. Preprint
1996.
- D.Bambusi, D. Noja: On
classical
electrodynamics of a point particle and mass renormalization, Lett.
Math.
Phys., 7 (1996), 449-460.
- D. Bambusi: Exponential
Stability
of breathers in Hamiltonian Networks of Weakly Coupled
Oscillators, Nonlinearity, 9 (1996).
- M. Andreolli, D. Bambusi, A.
Giorgilli: On a
weakened
form of the averaging principle in multifrequency systems,
Nonlinearity, 8 283-293 (1995).
- D. Bambusi: Uniform
Nekhoroshev
Estimates on Quantum Normal Forms. Nonlinearity. 8,
93-105
(1995).
- D. Bambusi: A
Nekhoroshev-type
theorem for the Pauli-Fierz Model of Classical Electrodynamics.
Ann.
Inst. Henri Poincaré, Physique théorique 60 339-371
(1994).
- D. Bambusi, A. Giorgilli: Exponential
stability
of states close to resonance in infinite dimensional
hamiltonian systems. Jour. Stat. Phys.: 71 p. 569
(1993).
- D. Bambusi, L. Galgani: Some Rigorous
Results
on the Pauli-Fierz Model of Classical Electrodynamics. Ann.
Inst. H. Poincaré, Physique théorique 58 155-171
(1993).
- D. Bambusi: Clifford algebra
description of non-Abelian
gauge fields. Journal of Geometry and Physics, 7, 1 (1990).
- D. Bambusi: A new approach to
gauge fields - Part II,
Physical applications,96, 241 (1986).
- D. Bambusi: A new approach to
gauge fields - Part I,
Mathematical formalisms'' ``Nuovo Cimento A'', 94, 271
(1986).
Proceedings
- D. Bambusi: Gauge Field Equation on Principal Fibre Bundle.
A Clifford algebra formulation. In Clifford Algebras and
their Applications in Mathematical Physics Micali Edt. Kluwer
Academic Press (Netherlands 1992).
- D. Bambusi, L. Galgani, A. Giorgilli: Stability
problems
in
the light of Nekhoroshev's theorem, Atti primo convegno
Italiano
di Meccanica celeste, L'Aquila 1993.
- D. Bambusi, A. Carati, L. Galgani, A. Giorgilli, D. Noja, J.
Sassarini: On the relevance of classical electrodynamics for the
foundation of physics; In S.Benkadda, F.Doveil, Y. Elskens,
Transport, Chaos and Plasma Physics, World Scientific (Singapore 1994).
- D. Bambusi, L. Galgani, D. Noja: Recent studies in Classical
Electrodynamics. in Stochastic Processes - Physics and Geometry, S.
Albeverio, U. Cattaneo, D. Merlini edt. World Scientific (Singapore
1995).
- F. Avanzini, D. Bambusi: Stability
properties
in Hamiltonian perturbations of resonant PDE's with
symmetry:
the case of NLS. 5--18 in Simmetry
and
Perturbation Theory, D.Bambusi, G. Gaeta editors, Quaderno
GNFM,
54, (Firenze, 1998).
- D. Bambusi: Behaviour
of
smooth solutions of hamiltonian PDEs close to non-resonant equilibrium
points
in Symmetry
and
perturbation theory 1998, A. Degasperis and G.Gaeta
Editors.
- D. Bambusi: Some
problems
on Nekhoroshev's estimate for PDE's Preprint 1999
- D. Bambusi, S. Paleari: Small
oscillations
in some nonlinear PDE's Proceedings
of
APTEX
- D. Bambusi: Semiclassical
Normal
Forms. Proceedings of Methematical Methods in quantum
mechanics,
Roma 2003.
- D. Bambusi: Birkhoff
Normal
Form for quasilinear Hamiltonian PDEs. Proceedings of ICMP 2003.
Thesis
Dario Bambusi: Problemi di
stabilità in sistemi hamiltoniani infinito dimensionali.Università
di
Milano,
1993
Last update 22.5.08