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Journal Article
Bambusi D, Berti M, Magistrelli E. Degenerate KAM theory for partial differential equations. Journal of Differential Equations. 2011 ;250:3379-3397.
Berti M, Bolle P. Diffusion time and splitting of separatrices for nearly integrable. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei Mat. Appl., 2000, 11, 235 [Internet]. 2000 . Available from: http://hdl.handle.net/1963/1547
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, Biasco L, Procesi M. Existence and stability of quasi-periodic solutions for derivative wave equations. Atti della Accademia Nazionale dei Lincei, Classe di Scienze Fisiche, Matematiche e Naturali, Rendiconti Lincei Matematica e Applicazioni. 2013 ;24:199-214.
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
Baldi P, Berti M. Forced Vibrations of a Nonhomogeneous String. SIAM J. Math. Anal. 40 (2008) 382-412 [Internet]. 2008 . Available from: http://hdl.handle.net/1963/2643
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, 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, Bolle P. A functional analysis approach to Arnold diffusion. Ann. Inst. H. Poincaré C Anal. Non Linéaire [Internet]. 2002 ;19:395–450. Available from: https://doi.org/10.1016/S0294-1449(01)00084-1
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, 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. Heteroclinic solutions for perturbed second order systems. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 1997 ;8:251–262.
Berti M, Bolle P. Homoclinics and chaotic behaviour for perturbed second order systems. Ann. Mat. Pura Appl. (4) [Internet]. 1999 ;176:323–378. Available from: https://doi.org/10.1007/BF02506001
Ambrosetti A, Berti M. Homoclinics and complex dynamics in slowly oscillating systems. Discrete Contin. Dynam. Systems [Internet]. 1998 ;4:393–403. Available from: https://doi.org/10.3934/dcds.1998.4.393
Baldi P, Berti M, Montalto R. KAM for autonomous quasi-linear perturbations of KdV. Ann. Inst. H. Poincaré C Anal. Non Linéaire [Internet]. 2016 ;33:1589–1638. Available from: https://doi.org/10.1016/j.anihpc.2015.07.003
Baldi P, Berti M, Montalto R. KAM for autonomous quasi-linear perturbations of mKdV. Boll. Unione Mat. Ital. [Internet]. 2016 ;9:143–188. Available from: https://doi.org/10.1007/s40574-016-0065-1
Baldi P, Berti M, Haus E, Montalto R. KAM for gravity water waves in finite depth. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. [Internet]. 2018 ;29:215–236. Available from: https://doi.org/10.4171/RLM/802
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
Baldi P, Berti M, Montalto R. KAM for quasi-linear and fully nonlinear forced perturbations of Airy equation. Mathematische Annalen. 2014 :1-66.
Baldi P, Berti M, Montalto R. KAM for quasi-linear KdV. C. R. Math. Acad. Sci. Paris [Internet]. 2014 ;352(7-8):603-607. Available from: http://urania.sissa.it/xmlui/handle/1963/35067
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
Berti M. KAM for Vortex Patches. Regular and Chaotic Dynamics [Internet]. 2024 ;29(4):654 - 676. Available from: https://doi.org/10.1134/S1560354724540013
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, Biasco L, Procesi M. KAM theory for the Hamiltonian derivative wave equation. Annales Scientifiques de l'Ecole Normale Superieure. 2013 ;46:301-373.
Berti M, Kappeler T, Montalto R. Large KAM tori for perturbations of the defocusing NLS equation. Astérisque. 2018 :viii+148.

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