1. D. Bambusi, A. Maspero: Freezing of energy of a soliton in an external potential. Comm. Math. Phys. 344 (2016), no. 1, 155–191.
2. D. Bambusi: Asymptotic stability of breathers in some Hamiltonian networks of weakly coupled oscillators. Comm. Math. Phys. 324 (2013), no. 2, 515–547.
3. D. Bambusi: Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry. Comm. Math. Phys. 320 (2013), no. 2, 499–542. . 
4. 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

1. Dario Bambusi, Benoit Grebert, Alberto Maspero, Didier Robert: Growth of Sobolev norms for abstract linear Schrödinger Equations . Preprint 2017
2. Dario Bambusi, Benoit Grebert, Alberto Maspero, Didier Robert: Reducibility of the Quantum Harmonic Oscillator in d-dimensions with Polynomial Time Dependent Perturbation. Analysis and PDEs, to appear
3. D. Bambusi: Reducibility of 1-d Schroedinger equation with time quasiperiodic unbounded perturbations, II. Commun. Math. Phys. 353 (2017), no. 1, 353–378.
4. D. Bambusi: Reducibility of 1-d Schroedinger equation with time quasiperiodic unbounded perturbations, I. TAMS, to appear 2016.
5. Bambusi, D.; Berti, M.; Magistrelli, E. Degenerate KAM theory for partial differential equations. J. Differential Equations 250 (2011), 8, 3379–3397,
6. D. Bambusi, A Birkhoff normal form theorem for some nonlinear PDEs. Hamiltonian dynamical systems and applications, 213–247, NATO Sci. Peace Secur. Ser. B Phys. Biophys., Springer, Dordrecht, 2008.
   
7. D.Bambusi, B. Grebert: Birkhoff normal form for PDEs with tame modulus. Duke Math. J. 135, (3) (2006) 507-567.
8. D. Bambusi: Nekhoroshev theorem for small amplitude solutions in nonlinear Schroedinger equations. Math. Z., 130, 345-387, (1999).
   
9. 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).
10. D. Bambusi, S. Paleari: Families of periodic solutions in resonant PDE's.  J. Nonlinear Science, 11, 69-87 (2001).

 
Chains of particles and the FPU problem

1. D. Bambusi, A. Carati, A. Maiocchi, Alberto Maspero: Some analytic results on the FPU paradox. Hamiltonian partial differential equations and applications, 235–254, Fields Inst. Commun., 75, Fields Inst. Res. Math. Sci., Toronto, ON, 2015.
2. Maiocchi, A., Bambusi, D., Carati, A.: An averaging theorem for FPU in the thermodynamic limit. J. Stat. Phys. 155 (2014), no. 2, 300–322.
3. D. Bambusi, A. Maspero:  Birkhoff coordinates for the Toda Lattice in the limit of infinitely many particles with an application to FPU. J. Funct. Anal. 270 (2016), no. 5, 1818–1887.
4. D. Bambusi, T. Kappeler, T. Paul: Dynamics of periodic Toda chains with a large number of particles. J. Differential Equations 258, (2015), 12, 4209–4274 .
5. D. Bambusi, T. Kappeler, T. Paul: From Toda to KdV. Nonlinearity 28 (2015), no. 7, 2461–2496.
6. D.Bambusi, A. Ponno: On metastability in FPU. Comm. Math. Phys. 264 (2006), no. 2, 539--561.
7. D. Bambusi, A. Giorgilli: Exponential stability of states close to resonance in infinite dimensional hamiltonian systems. Jour. Stat. Phys.: 71 p. 569 (1993).

Miscellanea

1. D. Bambusi, A Fuse': Nekhoroshev theorem for perturbations of the central motion . Preprint 2016.
2. D. Bambusi: A reversible Nekhoroshev theorem for persistence of invariant tori in systems with symmetry. Math. Phys. Anal. Geom. 18 (2015), no. 1, Art. 21, 10 pp.
3. E. Haus, D. Bambusi: Asymptotic behavior of an elastic satellite with internal friction . Math. Phys. Anal. Geom. 18 (2015), no. 1, Art. 14, 18 pp.

Semiclassical limit  
 

1. D. Bambusi: Normal forms and semi-classical approximation. To appear in Encyclopdia of Mathematical Physics.
   
2. D. Bambusi, S. Graffi, T. Paul: Normal forms and quantization formulae. Commun. Math. Phys., 207, 173-195, (1999).
3. 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).

Last update  20/11/2017