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Berti M, Maspero A, Murgante F. Hamiltonian Birkhoff normal form for gravity-capillary water waves with constant vorticity: almost global existence. Annals of PDEs [Internet]. 2022 . Available from: https://arxiv.org/abs/2212.12255
Berti M. Nonlinear vibrations of completely resonant wave equations. In: Fixed point theory and its applications. Vol. 77. Fixed point theory and its applications. Polish Acad. Sci. Inst. Math., Warsaw; 2007. pp. 49–60. Available from: https://doi.org/10.4064/bc77-0-4
Berti M, Maspero A, Ventura P. Full description of Benjamin-Feir instability of Stokes waves in deep water. Invent. Math. [Internet]. 2022 ;230:651–711. Available from: https://doi.org/10.1007/s00222-022-01130-z
Berti M. A functional analysis approach to Arnold diffusion. In: Symmetry and perturbation theory (Cala Gonone, 2001). Symmetry and perturbation theory (Cala Gonone, 2001). World Sci. Publ., River Edge, NJ; 2001. pp. 29–31. Available from: https://doi.org/10.1142/9789812794543_0004
Berti M. KAM theory for partial differential equations. Anal. Theory Appl. [Internet]. 2019 ;35:235–267. Available from: https://doi.org/10.4208/ata.oa-0013
Berti M, Bolle P. Sobolev quasi-periodic solutions of multidimensional wave equations with a multiplicative potential. Nonlinearity. 2012 ;25:2579-2613.
Berti M, Feola R, Procesi M, Terracina S. Reducibility of Klein-Gordon equations with maximal order perturbations. [Internet]. 2024 . Available from: https://arxiv.org/abs/2402.11377
Berti M, Bolle P. A Nash-Moser approach to KAM theory. In: Hamiltonian partial differential equations and applications. Vol. 75. Hamiltonian partial differential equations and applications. Fields Inst. Res. Math. Sci., Toronto, ON; 2015. pp. 255–284. Available from: https://doi.org/10.1007/978-1-4939-2950-4_9
Berti M, Biasco L, Bolle P. Optimal stability and instability results for a class of nearly integrable Hamiltonian systems. Atti.Accad.Naz.Lincei Cl.Sci.Fis.Mat.Natur.Rend.Lincei (9) Mat.Appl.13(2002),no.2,77-84 [Internet]. 2002 . Available from: http://hdl.handle.net/1963/1596
Berti M, Maspero A, Murgante F. Hamiltonian paradifferential Birkhoff normal form for water waves. Regul. Chaotic Dyn. [Internet]. 2023 ;28:543–560. Available from: https://doi.org/10.1134/S1560354723040032
Berti M, Biasco L. Forced vibrations of wave equations with non-monotone nonlinearities. Ann. Inst. H. Poincaré Anal. Non Linéaire 23 (2006) 439-474 [Internet]. 2006 . Available from: http://hdl.handle.net/1963/2160
Berti M, Biasco L, Valdinoci E. Periodic orbits close to elliptic tori and applications to the three-body problem. Ann. Sc. Norm. Super. Pisa Cl. Sci. (5). 2004 ;3:87–138.
Berti M, Franzoi L, Maspero A. Traveling quasi-periodic water waves with constant vorticity. Arch. Ration. Mech. Anal. [Internet]. 2021 ;240:99–202. Available from: https://doi.org/10.1007/s00205-021-01607-w
Berti M. Nonlinear oscillations of Hamiltonian PDEs. Birkhäuser Boston, Inc., Boston, MA; 2007 p. xiv+180.
Berti M, Bolle P. Sobolev periodic solutions of nonlinear wave equations in higher spatial dimensions. Archive for Rational Mechanics and Analysis. 2010 ;195:609-642.
Berti M, Matzeu M, Valdinoci E. On periodic elliptic equations with gradient dependence. Commun. Pure Appl. Anal. [Internet]. 2008 ;7:601–615. Available from: https://doi.org/10.3934/cpaa.2008.7.601
Berti M, Maspero A, Ventura P. On the analyticity of the Dirichlet-Neumann operator and Stokes waves. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. [Internet]. 2022 ;33:611–650. Available from: https://doi.org/10.4171/rlm/983
Berti M, Bolle P. Fast Arnold diffusion in systems with three time scales. Discrete Contin. Dyn. Syst. [Internet]. 2002 ;8:795–811. Available from: https://doi.org/10.3934/dcds.2002.8.795
Berti M, Biasco L, Bolle P. Drift in phase space: a new variational mechanism with optimal diffusion time. J. Math. Pures Appl. 82 (2003) 613-664 [Internet]. 2003 . Available from: http://hdl.handle.net/1963/3020
Berti M, Maspero A. Long time dynamics of Schrödinger and wave equations on flat tori. J. Differential Equations [Internet]. 2019 ;267:1167–1200. Available from: https://doi.org/10.1016/j.jde.2019.02.004
Berti M, Corsi L, Maspero A, Ventura P. Infinitely many isolas of modulational instability for Stokes waves.; 2024.
Berti M, Bolle P. Quasi-periodic solutions with Sobolev regularity of NLS on Td with a multiplicative potential. Journal of the European Mathematical Society. 2013 ;15:229-286.
Berti M, Bolle P. Cantor families of periodic solutions for wave equations via a variational principle. Advances in Mathematics. 2008 ;217:1671-1727.
Berti M. KAM for PDEs. Boll. Unione Mat. Ital. [Internet]. 2016 ;9:115–142. Available from: https://doi.org/10.1007/s40574-016-0067-z
Berti M, Biasco L, Procesi M. KAM for Reversible Derivative Wave Equations. Arch. Ration. Mech. Anal. [Internet]. 2014 ;212(3):905-955. Available from: http://urania.sissa.it/xmlui/handle/1963/34646

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