Publications

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, 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, Delort J-M. Almost global solutions of capillary-gravity water waves equations on the circle. Springer, Cham; Unione Matematica Italiana, [Bologna]; 2018 p. x+268. Available from: https://doi.org/10.1007/978-3-319-99486-4

Berti M, Bolle P. Quasi-periodic solutions of nonlinear Schrödinger equations on $\Bbb T^d$. Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. [Internet]. 2011 ;22:223–236. Available from: https://doi.org/10.4171/RLM/597

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, 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, Feola R, Pusateri F. Birkhoff normal form and long time existence for periodic gravity water waves. Comm. Pure Appl. Math. [Internet]. 2023 ;76:1416–1494. Available from: https://doi.org/10.1002/cpa.22041

Berti M. Nonlinear oscillations of Hamiltonian PDEs. Birkhäuser Boston, Inc., Boston, MA; 2007 p. xiv+180.

Berti M, Bolle P. Cantor families of periodic solutions for completely resonant wave equations. Frontiers of Mathematics in China. 2008 ;3:151-165.

Berti M, Montalto R. Quasi-periodic standing wave solutions of gravity-capillary water waves. Mem. Amer. Math. Soc. [Internet]. 2020 ;263:v+171. Available from: https://doi.org/10.1090/memo/1273

Berti M, Procesi M. Quasi-periodic oscillations for wave equations under periodic forcing. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 2005 ;16:109–116.

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. Stokes waves at the critical depth are modulationally unstable. Comm. Math. Phys. [Internet]. 2024 ;405:Paper No. 56, 67. Available from: https://doi.org/10.1007/s00220-023-04928-x

Berti M, Bolle P. Variational construction of homoclinics and chaos in presence of a saddle-saddle equilibrium. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 1998 ;9:167–175.

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, Feola R, Pusateri F. Birkhoff normal form for gravity water waves. Water Waves [Internet]. 2021 ;3:117–126. Available from: https://doi.org/10.1007/s42286-020-00024-y

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

Berti M, Biasco L. Periodic solutions of nonlinear wave equations with non-monotone forcing terms. Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 16 (2005), no. 2, 117-124 [Internet]. 2005 . Available from: http://hdl.handle.net/1963/4581

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.