Publications

Berti M. Quasi-periodic solutions of PDEs. In: Séminaire Laurent Schwartz–-Équations aux dérivées partielles et applications. Année 2011–2012. Séminaire Laurent Schwartz–-Équations aux dérivées partielles et applications. Année 2011–2012. École Polytech., Palaiseau; 2013. p. Exp. No. XXX, 11.

Berti M, Bolle P. Bifurcation of free vibrations for completely resonant wave equations. Boll. Unione Mat. Ital. Sez. B 7 (2004) 519-528 [Internet]. 2004 . Available from: http://hdl.handle.net/1963/2245

Berti M, Bolle P. Periodic solutions of nonlinear wave equations with general nonlinearities. Comm. Math. Phys. [Internet]. 2003 ;243:315–328. Available from: https://doi.org/10.1007/s00220-003-0972-8

Berti M, Hassainia Z, Masmoudi N. Time quasi-periodic vortex patches of Euler equation in the plane. Invent. Math. [Internet]. 2023 ;233:1279–1391. Available from: https://doi.org/10.1007/s00222-023-01195-4

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. Some remarks on a variational approach to Arnold's diffusion. Discrete Contin. Dynam. Systems [Internet]. 1996 ;2:307–314. Available from: https://doi.org/10.3934/dcds.1996.2.307

Berti M, Bolle P. Quasi-periodic solutions of nonlinear wave equations on the $d$-dimensional torus. EMS Publishing House, Berlin; 2020 p. xv+358.

Berti M, Biasco L. Branching of Cantor Manifolds of Elliptic Tori and Applications to PDEs. Communications in Mathematical Physics. 2011 ;305:741-796.

Berti M, Procesi M. Nonlinear wave and Schrödinger equations on compact Lie groups and homogeneous spaces. Duke Mathematical Journal. 2011 ;159(3).

Berti M, Procesi M. Quasi-periodic solutions of completely resonant forced wave equations. Comm. Partial Differential Equations [Internet]. 2006 ;31:959–985. Available from: https://doi.org/10.1080/03605300500358129

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

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, Ventura P. Benjamin-Feir instability of Stokes waves. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. [Internet]. 2022 ;33:399–412. Available from: https://doi.org/10.4171/rlm/975

Berti M, Kappeler T, Montalto R. Large KAM tori for perturbations of the defocusing NLS equation. Astérisque. 2018 :viii+148.

Berti M. Variational methods for Hamiltonian PDEs. NATO Science for Peace and Security Series B: Physics and Biophysics. 2008 :391-420.

Berti M, Corsi L, Procesi M. An abstract Nash-Moser theorem and quasi-periodic solutions for NLW and NLS on compact Lie groups and homogeneous manifolds. Comm. Math. Phys. [Internet]. 2015 ;334:1413–1454. Available from: https://doi.org/10.1007/s00220-014-2128-4

Berti M, Carminati C. Chaotic dynamics for perturbations of infinite-dimensional Hamiltonian systems. Nonlinear Anal. 48 (2002) 481-504 [Internet]. 2002 . Available from: http://hdl.handle.net/1963/1279

Berti M, Maspero A, Ventura P. Benjamin-Feir instability of Stokes waves in finite depth. Arch. Ration. Mech. Anal. [Internet]. 2023 ;247:Paper No. 91, 54. Available from: https://doi.org/10.1007/s00205-023-01916-2

Berti M, Bolle P. Multiplicity of periodic solutions of nonlinear wave equations. Nonlinear Anal. [Internet]. 2004 ;56:1011–1046. Available from: https://doi.org/10.1016/j.na.2003.11.001

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.