## Bambusi, Dario

Compute Distance To:
 Author ID: bambusi.dario Published as: Bambusi, Dario; Bambusi, D. External Links: ORCID
 Documents Indexed: 91 Publications since 1990 2 Contributions as Editor · 1 Further Contribution Co-Authors: 45 Co-Authors with 66 Joint Publications 1,070 Co-Co-Authors
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### Co-Authors

 26 single-authored 6 Grébert, Benoît 6 Maspero, Alberto 6 Ponno, Antonio 5 Carati, Andrea 5 Langella, Beatrice 5 Montalto, Riccardo 5 Paleari, Simone 5 Paul, Thierry 5 Penati, Tiziano 4 Gaeta, Giuseppe 4 Graffi, Sandro 3 Kappeler, Thomas 3 Maiocchi, Alberto Mario 2 Berti, Massimiliano 2 Fusè, Alessandra 2 Galgani, Luigi 2 Giorgilli, Antonio 2 Haus, Emanuele 2 Kuksin, Sergeĭ B. 2 Nekhoroshev, Nikolaĭ Nikolaevich 2 Noja, Diego 2 Robert, Didier 2 Sacchetti, Andrea 1 Andreolli, Marco 1 Bardelle, C. 1 Cacciatori, Sergio Luigi 1 Cadoni, Mariano 1 Cicogna, Giampaolo 1 Cuccagna, Scipio 1 Degli Esposti, Mirko 1 Delort, Jean-Marc 1 Faou, Erwan 1 Langella, Beatrix 1 Magistrelli, E. 1 Marmo, Giuseppe 1 Mischaikow, Konstantin 1 Muraro, Daniele 1 Pelinovsky, Dmitry Efimovich 1 Rouveyrol, Marc 1 Sansottera, Marco 1 Sire, Yannick 1 Stolovitch, Laurent 1 Szeftel, Jérémie 1 Turri, Lucia 1 Yi, Yingfei
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### Serials

 12 Communications in Mathematical Physics 8 Nonlinearity 4 Journal of Differential Equations 3 Mathematical Physics, Analysis and Geometry 2 Journal of Mathematical Physics 2 Journal of Statistical Physics 2 Physica D 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Regular and Chaotic Dynamics 2 Annales Henri Poincaré 2 Discrete and Continuous Dynamical Systems. Series B 2 Comptes Rendus. Mathématique. Académie des Sciences, Paris 2 Dynamics of Partial Differential Equations 1 Applicable Analysis 1 Communications on Pure and Applied Mathematics 1 Letters in Mathematical Physics 1 Physics Letters. A 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 American Journal of Mathematics 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie IV 1 Duke Mathematical Journal 1 Journal of Functional Analysis 1 Mathematische Zeitschrift 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Numerische Mathematik 1 Proceedings of the American Mathematical Society 1 Transactions of the American Mathematical Society 1 Acta Applicandae Mathematicae 1 Asymptotic Analysis 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Communications in Partial Differential Equations 1 Journal of Physics A: Mathematical and General 1 SIAM Journal on Mathematical Analysis 1 Bulletin of the American Mathematical Society. New Series 1 Celestial Mechanics and Dynamical Astronomy 1 Journal of Dynamics and Differential Equations 1 Journal of Nonlinear Science 1 NoDEA. Nonlinear Differential Equations and Applications 1 Mathematical Physics Electronic Journal 1 Chaos 1 Journal of the European Mathematical Society (JEMS) 1 Communications on Pure and Applied Analysis 1 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 1 Analysis & PDE 1 Rendiconti. Classe di Scienze Matematiche e Naturali 1 Journal of Mathematics in Industry 1 Matematica, Cultura e Società. Rivista dell’Unione Matematica Italiana. Serie I 1 Water Waves
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### Fields

 59 Dynamical systems and ergodic theory (37-XX) 56 Partial differential equations (35-XX) 18 Quantum theory (81-XX) 13 Mechanics of particles and systems (70-XX) 11 Ordinary differential equations (34-XX) 11 Statistical mechanics, structure of matter (82-XX) 4 Global analysis, analysis on manifolds (58-XX) 4 Numerical analysis (65-XX) 3 General and overarching topics; collections (00-XX) 3 Operator theory (47-XX) 3 Differential geometry (53-XX) 3 Optics, electromagnetic theory (78-XX) 2 Linear and multilinear algebra; matrix theory (15-XX) 2 Mechanics of deformable solids (74-XX) 1 Topological groups, Lie groups (22-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Relativity and gravitational theory (83-XX) 1 Biology and other natural sciences (92-XX)

### Citations contained in zbMATH Open

80 Publications have been cited 1,109 times in 573 Documents Cited by Year
Birkhoff normal form for partial differential equations with tame modulus. Zbl 1110.37057
Bambusi, D.; Grébert, B.
2006
Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods. Zbl 1003.37042
Bambusi, Dario; Graffi, Sandro
2001
Birkhoff normal form for some nonlinear PDEs. Zbl 1032.37051
Bambusi, Dario
2003
Almost global existence for Hamiltonian semilinear Klein-Gordon equations with small Cauchy data on Zoll manifolds. Zbl 1170.35481
Bambusi, D.; Delort, J.-M.; Grébert, B.; Szeftel, J.
2007
Reducibility of the quantum harmonic oscillator in $$d$$-dimensions with polynomial time-dependent perturbation. Zbl 1386.35059
Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier
2018
On long time stability in Hamiltonian perturbations of non-resonant linear PDEs. Zbl 0989.37073
Bambusi, Dario
1999
Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations. Zbl 0928.35160
Bambusi, Dario
1999
Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. II. Zbl 1367.35149
Bambusi, D.
2017
Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. I. Zbl 1386.35058
Bambusi, Dario
2018
On dispersion of small energy solutions of the nonlinear Klein-Gordon equation with a potential. (On dispersion of small energy solutions of the nonlinear Klein Gordon equation with a potential.) Zbl 1237.35115
Bambusi, Dario; Cuccagna, Scipio
2011
On metastability in FPU. Zbl 1233.37049
Bambusi, Dario; Ponno, Antonio
2006
Families of periodic solutions of resonant PDEs. Zbl 0994.37040
Bambusi, Dario; Paleari, Simone
2001
Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators. Zbl 0925.70230
Bambusi, Dario
1996
Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems. Zbl 0943.82549
Bambusi, Dario; Giorgilli, Antonio
1993
A Birkhoff normal form theorem for some semilinear PDEs. Zbl 1145.37038
Bambusi, D.
2008
Degenerate KAM theory for partial differential equations. Zbl 1213.37103
Bambusi, D.; Berti, M.; Magistrelli, E.
2011
Long time semiclassical approximation of quantum flows: A proof of the Ehrenfest time. Zbl 0934.35142
Bambusi, Dario; Graffi, Sandro; Paul, Thierry
1999
Lyapunov center theorem for some nonlinar PDE’s: a simple proof. Zbl 1008.35003
Bambusi, Dario
2000
A property of exponential stability in nonlinear wave equations near the fundamental linear mode. Zbl 0937.35010
Bambusi, D.; Nekhoroshev, N. N.
1998
Continuous approximation of breathers in one- and two-dimensional DNLS lattices. Zbl 1183.37123
Bambusi, D.; Penati, T.
2010
Korteweg-de Vries equation and energy sharing in Fermi-Pasta-Ulam. Zbl 1080.37073
Ponno, A.; Bambusi, D.
2005
A Birkhoff-Lewis-type theorem for some Hamiltonian PDEs. Zbl 1105.37045
Bambusi, Dario; Berti, Massimiliano
2005
Normal forms and quantization formulae. Zbl 1040.81019
Bambusi, Dario; Graffi, Sandro; Paul, Thierry
1999
Quasiperiodic breathers in Hamiltonian lattices with symmetries. Zbl 1038.37058
Bambusi, D.; Vella, D.
2002
Galerkin averaging method and Poincaré normal form for some quasilinear PDEs. Zbl 1170.35317
Bambusi, Dario
2005
Existence and continuous approximation of small amplitude breathers in 1D and 2D Klein-Gordon lattices. Zbl 1203.37121
Bambusi, Dario; Paleari, Simone; Penati, Tiziano
2010
Reducibility of non-resonant transport equation on $${\mathbb {T}}^d$$ with unbounded perturbations. Zbl 1434.82077
Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo
2019
Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations. III. Zbl 1404.81089
Bambusi, D.; Montalto, R.
2018
Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry. Zbl 1267.35140
Bambusi, Dario
2013
An averaging theorem for FPU in the thermodynamic limit. Zbl 1295.82004
Maiocchi, A.; Bambusi, D.; Carati, A.
2014
Growth of Sobolev norms for abstract linear Schrödinger equations. Zbl 1460.35307
Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier
2021
Normal forms, symmetry and linearization of dynamical systems. Zbl 0969.34031
Bambusi, Dario; Cicogna, Giampaolo; Gaeta, Giuseppe; Marmo, Giuseppe
1998
On persistence of invariant tori and a theorem by Nekhoroshev. Zbl 1042.37037
Bambusi, Dario; Gaeta, Giuseppe
2002
Freezing of energy of a soliton in an external potential. Zbl 1342.35320
Bambusi, D.; Maspero, A.
2016
Asymptotic stability of breathers in some Hamiltonian networks of weakly coupled oscillators. Zbl 1286.37064
Bambusi, Dario
2013
Birkhoff coordinates for the Toda lattice in the limit of infinitely many particles with an application to FPU. Zbl 1335.37047
Bambusi, D.; Maspero, A.
2016
Normal form and exponential stability for some nonlinear string equations. Zbl 0996.35046
Paleari, Simone; Bambusi, Dario; Cacciatori, Sergio
2001
Exponential times in the one-dimensional Gross-Pitaevskii equation with multiple well potential. Zbl 1134.35097
Bambusi, Dario; Sacchetti, Andrea
2007
On the Darboux theorem for weak symplectic manifolds. Zbl 0958.58005
Bambusi, Dario
1999
Forme normale pour NLS en dimension quelconque. (Normal form for NLS in arbitrary dimension). Zbl 1030.35143
Bambusi, Dario; Grébert, Benoît
2003
Resonance, metastability and blow up in FPU. Zbl 1151.82303
Bambusi, Dario; Ponno, Antonio
2008
Existence and stability of ground states for fully discrete approximations of the nonlinear Schrödinger equation. Zbl 1261.65133
Bambusi, Dario; Faou, Erwan; Grébert, Benoît
2013
Some rigorous results on the Pauli-Fierz model of classical electrodynamics. Zbl 0769.35057
Bambusi, Dario; Galgani, Luigi
1993
Some analytic results on the FPU paradox. Zbl 1339.37074
Bambusi, Dario; Carati, Andrea; Maiocchi, Alberto; Maspero, Alberto
2015
An averaging theorem for quasilinear Hamiltonian PDEs. Zbl 1031.37056
Bambusi, Dario
2003
Long time stability of some small amplitude solutions in nonlinear Schrödinger equations. Zbl 0895.35095
Bambusi, Dario
1997
Families of periodic orbits for some PDE’s in higher dimensions. Zbl 1034.35081
Bambusi, Dario; Paleari, Simone
2002
Clifford algebra description of non-Abelian gauge fields. Zbl 0715.15010
Bambusi, Dario
1990
Invariant tori for non conservative perturbations of integrable systems. Zbl 1125.37318
Bambusi, Dario; Gaeta, Giuseppe
2001
The nonlinear Schrödinger equation as a resonant normal form. Zbl 1068.37056
Bambusi, D.; Carati, A.; Ponno, A.
2002
Boundary effects on the dynamics of chains of coupled oscillators. Zbl 1158.37310
Bambusi, D.; Carati, A.; Penati, T.
2009
Asymptotic stability of synchronous orbits for a gravitating viscoelastic sphere. Zbl 1266.70022
Bambusi, Dario; Haus, Emanuele
2012
From Toda to KdV. (De Toda à KdV.) Zbl 1181.37110
Bambusi, Dario; Kappeler, Thomas; Paul, Thierry
2009
Long time stability in perturbations of completely resonant PDE’s. Zbl 1106.37308
Bambusi, D.; Nekhoroshev, N. N.
2002
From Toda to KdV. Zbl 1334.37078
Bambusi, D.; Kappeler, T.; Paul, T.
2015
Nekhoroshev theorem for perturbations of the central motion. Zbl 1384.37074
Bambusi, Dario; Fusè, Alessandra
2017
Symmetry and perturbation theory. Proceedings of the 3rd international conference (SPT 2001), Cala Gonone, Sardinia, Italy, May 6–13, 2001. Zbl 0985.00019
2001
Birkhoff normal form for some quasilinear Hamiltonian PDEs. Zbl 1108.37048
Bambusi, Dario
2005
On the spectrum of the Schrödinger operator on $$\mathbb{T}^d$$: a normal form approach. Zbl 1439.81036
Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo
2020
On classical electrodynamics of point particles and mass renormalization: Some preliminary results. Zbl 0862.35118
Bambusi, Dario; Noja, Diego
1996
A Nekhoroshev-type theorem for the Pauli-Fierz model of classical electrodynamics. Zbl 0805.35130
Bambusi, Dario
1994
Hamiltonian PDEs. (With an appendix by Dario Bambusi). Zbl 1130.37392
Kuksin, Sergei B.
2006
Semiclassical normal forms. Zbl 1322.81046
Bambusi, D.
2004
Some stability properties of breathers in Hamiltonian networks of oscillators. Zbl 0988.37080
Bambusi, Dario
1998
On a weakened form of the averaging principle in multifrequency systems. Zbl 0824.34046
Andreolli, M.; Bambusi, D.; Giorgilli, A.
1995
Stability of spectral eigenspaces in nonlinear Schrödinger equations. Zbl 1132.35473
Bambusi, Dario; Sacchetti, Andrea
2007
Numerical studies on boundary effects on the FPU paradox. Zbl 1220.70015
Bambusi, D.; Muraro, D.; Penati, T.
2008
Asymptotic behavior of an elastic satellite with internal friction. Zbl 1332.74021
Haus, E.; Bambusi, D.
2015
A reversible Nekhoroshev theorem for persistence of invariant tori in systems with symmetry. Zbl 1359.37119
Bambusi, D.
2015
Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori. Zbl 07461238
Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo
2022
Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori. Zbl 07487012
Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo
2022
Almost global existence for a fractional Schrödinger equation on spheres and tori. Zbl 1290.35303
Bambusi, Dario; Sire, Yannick
2013
Energy cascade in Fermi-Pasta-Ulam models. Zbl 1138.82338
Ponno, A.; Bambusi, D.
2005
Uniform Nekhoroshev estimates on quantum normal forms. Zbl 0814.34026
Bambusi, Dario
1995
Uniform convergence of the Lie-Dyson expansion with respect to the Planck constant. Zbl 1223.81108
Bambusi, Dario; Degli Esposti, Mirko; Graffi, Sandro
2007
Exponential stability in the perturbed central force problem. Zbl 1411.70031
Bambusi, Dario; Fusè, Alessandra; Sansottera, Marco
2018
Dynamics of periodic Toda chains with a large number of particles. Zbl 1317.35255
Bambusi, D.; Kappeler, T.; Paul, T.
2015
Invariant tori for commuting Hamiltonian PDEs. Zbl 1165.37021
Bambusi, D.; Bardelle, C.
2009
Dispersive estimate for quasi-periodic Schrödinger operators on $$1-d$$ lattices. Zbl 1435.35137
Bambusi, Dario; Zhao, Zhiyan
2020
Convergence to normal forms of integrable PDEs. Zbl 1445.37051
Bambusi, Dario; Stolovitch, Laurent
2020
Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori. Zbl 07461238
Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo
2022
Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori. Zbl 07487012
Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo
2022
Growth of Sobolev norms for abstract linear Schrödinger equations. Zbl 1460.35307
Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier
2021
On the spectrum of the Schrödinger operator on $$\mathbb{T}^d$$: a normal form approach. Zbl 1439.81036
Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo
2020
Dispersive estimate for quasi-periodic Schrödinger operators on $$1-d$$ lattices. Zbl 1435.35137
Bambusi, Dario; Zhao, Zhiyan
2020
Convergence to normal forms of integrable PDEs. Zbl 1445.37051
Bambusi, Dario; Stolovitch, Laurent
2020
Reducibility of non-resonant transport equation on $${\mathbb {T}}^d$$ with unbounded perturbations. Zbl 1434.82077
Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo
2019
Reducibility of the quantum harmonic oscillator in $$d$$-dimensions with polynomial time-dependent perturbation. Zbl 1386.35059
Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier
2018
Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. I. Zbl 1386.35058
Bambusi, Dario
2018
Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations. III. Zbl 1404.81089
Bambusi, D.; Montalto, R.
2018
Exponential stability in the perturbed central force problem. Zbl 1411.70031
Bambusi, Dario; Fusè, Alessandra; Sansottera, Marco
2018
Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. II. Zbl 1367.35149
Bambusi, D.
2017
Nekhoroshev theorem for perturbations of the central motion. Zbl 1384.37074
Bambusi, Dario; Fusè, Alessandra
2017
Freezing of energy of a soliton in an external potential. Zbl 1342.35320
Bambusi, D.; Maspero, A.
2016
Birkhoff coordinates for the Toda lattice in the limit of infinitely many particles with an application to FPU. Zbl 1335.37047
Bambusi, D.; Maspero, A.
2016
Some analytic results on the FPU paradox. Zbl 1339.37074
Bambusi, Dario; Carati, Andrea; Maiocchi, Alberto; Maspero, Alberto
2015
From Toda to KdV. Zbl 1334.37078
Bambusi, D.; Kappeler, T.; Paul, T.
2015
Asymptotic behavior of an elastic satellite with internal friction. Zbl 1332.74021
Haus, E.; Bambusi, D.
2015
A reversible Nekhoroshev theorem for persistence of invariant tori in systems with symmetry. Zbl 1359.37119
Bambusi, D.
2015
Dynamics of periodic Toda chains with a large number of particles. Zbl 1317.35255
Bambusi, D.; Kappeler, T.; Paul, T.
2015
An averaging theorem for FPU in the thermodynamic limit. Zbl 1295.82004
Maiocchi, A.; Bambusi, D.; Carati, A.
2014
Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry. Zbl 1267.35140
Bambusi, Dario
2013
Asymptotic stability of breathers in some Hamiltonian networks of weakly coupled oscillators. Zbl 1286.37064
Bambusi, Dario
2013
Existence and stability of ground states for fully discrete approximations of the nonlinear Schrödinger equation. Zbl 1261.65133
Bambusi, Dario; Faou, Erwan; Grébert, Benoît
2013
Almost global existence for a fractional Schrödinger equation on spheres and tori. Zbl 1290.35303
Bambusi, Dario; Sire, Yannick
2013
Asymptotic stability of synchronous orbits for a gravitating viscoelastic sphere. Zbl 1266.70022
Bambusi, Dario; Haus, Emanuele
2012
On dispersion of small energy solutions of the nonlinear Klein-Gordon equation with a potential. (On dispersion of small energy solutions of the nonlinear Klein Gordon equation with a potential.) Zbl 1237.35115
Bambusi, Dario; Cuccagna, Scipio
2011
Degenerate KAM theory for partial differential equations. Zbl 1213.37103
Bambusi, D.; Berti, M.; Magistrelli, E.
2011
Continuous approximation of breathers in one- and two-dimensional DNLS lattices. Zbl 1183.37123
Bambusi, D.; Penati, T.
2010
Existence and continuous approximation of small amplitude breathers in 1D and 2D Klein-Gordon lattices. Zbl 1203.37121
Bambusi, Dario; Paleari, Simone; Penati, Tiziano
2010
Boundary effects on the dynamics of chains of coupled oscillators. Zbl 1158.37310
Bambusi, D.; Carati, A.; Penati, T.
2009
From Toda to KdV. (De Toda à KdV.) Zbl 1181.37110
Bambusi, Dario; Kappeler, Thomas; Paul, Thierry
2009
Invariant tori for commuting Hamiltonian PDEs. Zbl 1165.37021
Bambusi, D.; Bardelle, C.
2009
A Birkhoff normal form theorem for some semilinear PDEs. Zbl 1145.37038
Bambusi, D.
2008
Resonance, metastability and blow up in FPU. Zbl 1151.82303
Bambusi, Dario; Ponno, Antonio
2008
Numerical studies on boundary effects on the FPU paradox. Zbl 1220.70015
Bambusi, D.; Muraro, D.; Penati, T.
2008
Almost global existence for Hamiltonian semilinear Klein-Gordon equations with small Cauchy data on Zoll manifolds. Zbl 1170.35481
Bambusi, D.; Delort, J.-M.; Grébert, B.; Szeftel, J.
2007
Exponential times in the one-dimensional Gross-Pitaevskii equation with multiple well potential. Zbl 1134.35097
Bambusi, Dario; Sacchetti, Andrea
2007
Stability of spectral eigenspaces in nonlinear Schrödinger equations. Zbl 1132.35473
Bambusi, Dario; Sacchetti, Andrea
2007
Uniform convergence of the Lie-Dyson expansion with respect to the Planck constant. Zbl 1223.81108
Bambusi, Dario; Degli Esposti, Mirko; Graffi, Sandro
2007
Birkhoff normal form for partial differential equations with tame modulus. Zbl 1110.37057
Bambusi, D.; Grébert, B.
2006
On metastability in FPU. Zbl 1233.37049
Bambusi, Dario; Ponno, Antonio
2006
Hamiltonian PDEs. (With an appendix by Dario Bambusi). Zbl 1130.37392
Kuksin, Sergei B.
2006
Korteweg-de Vries equation and energy sharing in Fermi-Pasta-Ulam. Zbl 1080.37073
Ponno, A.; Bambusi, D.
2005
A Birkhoff-Lewis-type theorem for some Hamiltonian PDEs. Zbl 1105.37045
Bambusi, Dario; Berti, Massimiliano
2005
Galerkin averaging method and Poincaré normal form for some quasilinear PDEs. Zbl 1170.35317
Bambusi, Dario
2005
Birkhoff normal form for some quasilinear Hamiltonian PDEs. Zbl 1108.37048
Bambusi, Dario
2005
Energy cascade in Fermi-Pasta-Ulam models. Zbl 1138.82338
Ponno, A.; Bambusi, D.
2005
Semiclassical normal forms. Zbl 1322.81046
Bambusi, D.
2004
Birkhoff normal form for some nonlinear PDEs. Zbl 1032.37051
Bambusi, Dario
2003
Forme normale pour NLS en dimension quelconque. (Normal form for NLS in arbitrary dimension). Zbl 1030.35143
Bambusi, Dario; Grébert, Benoît
2003
An averaging theorem for quasilinear Hamiltonian PDEs. Zbl 1031.37056
Bambusi, Dario
2003
Quasiperiodic breathers in Hamiltonian lattices with symmetries. Zbl 1038.37058
Bambusi, D.; Vella, D.
2002
On persistence of invariant tori and a theorem by Nekhoroshev. Zbl 1042.37037
Bambusi, Dario; Gaeta, Giuseppe
2002
Families of periodic orbits for some PDE’s in higher dimensions. Zbl 1034.35081
Bambusi, Dario; Paleari, Simone
2002
The nonlinear Schrödinger equation as a resonant normal form. Zbl 1068.37056
Bambusi, D.; Carati, A.; Ponno, A.
2002
Long time stability in perturbations of completely resonant PDE’s. Zbl 1106.37308
Bambusi, D.; Nekhoroshev, N. N.
2002
Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods. Zbl 1003.37042
Bambusi, Dario; Graffi, Sandro
2001
Families of periodic solutions of resonant PDEs. Zbl 0994.37040
Bambusi, Dario; Paleari, Simone
2001
Normal form and exponential stability for some nonlinear string equations. Zbl 0996.35046
Paleari, Simone; Bambusi, Dario; Cacciatori, Sergio
2001
Invariant tori for non conservative perturbations of integrable systems. Zbl 1125.37318
Bambusi, Dario; Gaeta, Giuseppe
2001
Symmetry and perturbation theory. Proceedings of the 3rd international conference (SPT 2001), Cala Gonone, Sardinia, Italy, May 6–13, 2001. Zbl 0985.00019
2001
Lyapunov center theorem for some nonlinar PDE’s: a simple proof. Zbl 1008.35003
Bambusi, Dario
2000
On long time stability in Hamiltonian perturbations of non-resonant linear PDEs. Zbl 0989.37073
Bambusi, Dario
1999
Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations. Zbl 0928.35160
Bambusi, Dario
1999
Long time semiclassical approximation of quantum flows: A proof of the Ehrenfest time. Zbl 0934.35142
Bambusi, Dario; Graffi, Sandro; Paul, Thierry
1999
Normal forms and quantization formulae. Zbl 1040.81019
Bambusi, Dario; Graffi, Sandro; Paul, Thierry
1999
On the Darboux theorem for weak symplectic manifolds. Zbl 0958.58005
Bambusi, Dario
1999
A property of exponential stability in nonlinear wave equations near the fundamental linear mode. Zbl 0937.35010
Bambusi, D.; Nekhoroshev, N. N.
1998
Normal forms, symmetry and linearization of dynamical systems. Zbl 0969.34031
Bambusi, Dario; Cicogna, Giampaolo; Gaeta, Giuseppe; Marmo, Giuseppe
1998
Some stability properties of breathers in Hamiltonian networks of oscillators. Zbl 0988.37080
Bambusi, Dario
1998
Long time stability of some small amplitude solutions in nonlinear Schrödinger equations. Zbl 0895.35095
Bambusi, Dario
1997
Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators. Zbl 0925.70230
Bambusi, Dario
1996
On classical electrodynamics of point particles and mass renormalization: Some preliminary results. Zbl 0862.35118
Bambusi, Dario; Noja, Diego
1996
On a weakened form of the averaging principle in multifrequency systems. Zbl 0824.34046
Andreolli, M.; Bambusi, D.; Giorgilli, A.
1995
Uniform Nekhoroshev estimates on quantum normal forms. Zbl 0814.34026
Bambusi, Dario
1995
A Nekhoroshev-type theorem for the Pauli-Fierz model of classical electrodynamics. Zbl 0805.35130
Bambusi, Dario
1994
Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems. Zbl 0943.82549
Bambusi, Dario; Giorgilli, Antonio
1993
Some rigorous results on the Pauli-Fierz model of classical electrodynamics. Zbl 0769.35057
Bambusi, Dario; Galgani, Luigi
1993
Clifford algebra description of non-Abelian gauge fields. Zbl 0715.15010
Bambusi, Dario
1990
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### Cited by 514 Authors

 43 Bambusi, Dario 23 Geng, Jiansheng 23 Grébert, Benoît 20 Berti, Massimiliano 19 Procesi, Michela 16 Montalto, Riccardo 14 Maspero, Alberto 13 Faou, Erwan 13 Yuan, Xiaoping 12 Cuccagna, Scipio 12 Paleari, Simone 12 Penati, Tiziano 11 Liu, Jianjun 11 Lubich, Christian 10 Maeda, Masaya 10 Xu, Junxiang 9 Biasco, Luca 9 Carati, Andrea 9 Cong, Hongzi 9 Gao, Meina 9 Mi, Lufang 9 Xu, XinDong 8 Baldi, Pietro 8 Bernier, Joackim 8 Feola, Roberto 8 Gauckler, Ludwig J. 8 Haus, Emanuele 8 Maiocchi, Alberto Mario 8 Pelinovsky, Dmitry Efimovich 8 Ponno, Antonio 7 Hairer, Ernst 7 Kappeler, Thomas 7 Liang, Zhenguo 7 Si, Jianguo 6 Gaeta, Giuseppe 6 Graffi, Sandro 6 Kowalczyk, Michał 6 Muñoz, Claudio 6 Paul, Thierry 6 You, Jiangong 6 Zhang, Qidi 5 Bolle, Philippe 5 Delort, Jean-Marc 5 Galgani, Luigi 5 Giuliani, Filippo 5 Imekraz, Rafik 5 Komech, Alexander Ilich 5 Langella, Beatrice 5 Martel, Yvan 5 Panayotaros, Panayotis 5 Paturel, Eric 5 Rui, Jie 5 Sacchetti, Andrea 5 Shi, Yanling 5 Sun, Yingte 5 Thomann, Laurent 5 Zhang, Dongfeng 4 Benettin, Giancarlo 4 Bounemoura, Abed Bounemoura 4 Carles, Rémi 4 Gentile, Guido 4 Giorgilli, Antonio 4 Guardia, Marcel 4 Kevrekidis, Panayotis G. 4 Kuksin, Sergeĭ B. 4 Macías-Díaz, Jorge Eduardo 4 Procesi, Claudio 4 Robert, Didier 4 Sansottera, Marco 4 Yi, Yingfei 3 Cardin, Franco 3 Corsi, Livia 3 Craig, Walter 3 de la Llave, Rafael 3 García, Isaac A. 3 Grava, Tamara 3 Hennig, Dirk 3 Iandoli, Felice 3 James, Guillaume 3 Koukouloyannis, Vassilis 3 Li, Xuemei 3 Lou, Zhaowei 3 MacKay, Robert Sinclair 3 Nekhoroshev, Nikolaĭ Nikolaevich 3 Noja, Diego 3 Nowakowski, Andrzej F. 3 Pelletier, Fernand 3 Ragazzo, Clodoaldo 3 Ren, Xiufang 3 Ruiz, Lucas S. 3 Schneider, Guido 3 Soffer, Avraham 3 Stolovitch, Laurent 3 Susanto, Hadi 3 Valls Anglés, Cláudia 3 Wang, Peizhen 3 Wu, Jian 3 Xue, Shuaishuai 3 Zhang, Kangkang 3 Zhao, Zhiyan ...and 414 more Authors
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### Cited in 151 Serials

 51 Communications in Mathematical Physics 49 Journal of Differential Equations 28 Journal of Dynamics and Differential Equations 27 Physica D 25 Journal of Mathematical Physics 18 Discrete and Continuous Dynamical Systems 14 Journal of Statistical Physics 12 Journal of Mathematical Analysis and Applications 11 Archive for Rational Mechanics and Analysis 11 Journal of Functional Analysis 11 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 10 Communications in Partial Differential Equations 9 Nonlinearity 9 Annales de l’Institut Henri Poincaré. Analyse Non Linéaire 8 Applicable Analysis 8 SIAM Journal on Mathematical Analysis 7 Regular and Chaotic Dynamics 7 Annales Henri Poincaré 6 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 6 Celestial Mechanics and Dynamical Astronomy 6 Journal of Nonlinear Science 6 Communications in Nonlinear Science and Numerical Simulation 6 Foundations of Computational Mathematics 5 Letters in Mathematical Physics 5 Advances in Mathematics 5 Duke Mathematical Journal 5 Numerische Mathematik 5 Proceedings of the American Mathematical Society 4 Journal d’Analyse Mathématique 4 Reviews in Mathematical Physics 4 Memoirs of the American Mathematical Society 4 Transactions of the American Mathematical Society 4 Acta Applicandae Mathematicae 4 Taiwanese Journal of Mathematics 4 Chaos 4 Journal of the European Mathematical Society (JEMS) 4 Discrete and Continuous Dynamical Systems. Series B 4 Comptes Rendus. Mathématique. Académie des Sciences, Paris 3 Russian Mathematical Surveys 3 Annales de l’Institut Fourier 3 Annali di Matematica Pura ed Applicata. Serie Quarta 3 Numerical Methods for Partial Differential Equations 3 Asymptotic Analysis 3 Geometric and Functional Analysis. GAFA 3 Journal de Mathématiques Pures et Appliquées. Neuvième Série 3 Mathematical Physics, Analysis and Geometry 3 Acta Mathematica Sinica. English Series 3 Communications on Pure and Applied Analysis 3 Annals of PDE 3 Séminaire Laurent Schwartz. EDP et Applications 3 Bollettino dell’Unione Matematica Italiana 2 Physics Letters. A 2 Wave Motion 2 Applied Mathematics and Computation 2 Inventiones Mathematicae 2 Ergodic Theory and Dynamical Systems 2 Chinese Annals of Mathematics. Series B 2 Annales de l’Institut Henri Poincaré. Physique Théorique 2 Journal of Mathematical Sciences (New York) 2 Bulletin des Sciences Mathématiques 2 Nonlinear Dynamics 2 International Journal of Modern Physics C 2 Annali della Scuola Normale Superiore di Pisa. Classe di Scienze. Serie V 2 International Journal of Geometric Methods in Modern Physics 2 Advances in Difference Equations 2 Boundary Value Problems 2 Journal of Fixed Point Theory and Applications 2 Frontiers of Mathematics in China 2 Science China. Mathematics 2 Forum of Mathematics, Sigma 2 Water Waves 1 Communications on Pure and Applied Mathematics 1 Journal of Computational Physics 1 Mathematical Methods in the Applied Sciences 1 Physics Reports 1 Reports on Mathematical Physics 1 Theoretical and Mathematical Physics 1 ZAMP. Zeitschrift für angewandte Mathematik und Physik 1 Mathematics of Computation 1 Automatica 1 BIT 1 Functional Analysis and its Applications 1 Indiana University Mathematics Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the Mathematical Society of Japan 1 Manuscripta Mathematica 1 Mathematische Annalen 1 Mathematische Zeitschrift 1 Meccanica 1 Monatshefte für Mathematik 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Quarterly of Applied Mathematics 1 Ricerche di Matematica 1 Studies in Applied Mathematics 1 Transactions of the Moscow Mathematical Society 1 Rendiconti di Matematica e delle sue Applicazioni. Serie VII 1 Bulletin of the Iranian Mathematical Society 1 Applied Numerical Mathematics 1 Journal of the American Mathematical Society 1 Journal of Scientific Computing ...and 51 more Serials
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### Cited in 45 Fields

 385 Partial differential equations (35-XX) 320 Dynamical systems and ergodic theory (37-XX) 91 Quantum theory (81-XX) 73 Mechanics of particles and systems (70-XX) 55 Statistical mechanics, structure of matter (82-XX) 51 Ordinary differential equations (34-XX) 41 Numerical analysis (65-XX) 26 Operator theory (47-XX) 26 Global analysis, analysis on manifolds (58-XX) 19 Fluid mechanics (76-XX) 12 Mechanics of deformable solids (74-XX) 11 Differential geometry (53-XX) 10 Optics, electromagnetic theory (78-XX) 9 Difference and functional equations (39-XX) 6 General and overarching topics; collections (00-XX) 6 Nonassociative rings and algebras (17-XX) 6 Functional analysis (46-XX) 5 Relativity and gravitational theory (83-XX) 4 Geophysics (86-XX) 4 Systems theory; control (93-XX) 3 Combinatorics (05-XX) 3 Associative rings and algebras (16-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 3 Biology and other natural sciences (92-XX) 2 History and biography (01-XX) 2 Number theory (11-XX) 2 Topological groups, Lie groups (22-XX) 2 Functions of a complex variable (30-XX) 2 Algebraic topology (55-XX) 2 Manifolds and cell complexes (57-XX) 2 Probability theory and stochastic processes (60-XX) 1 Algebraic geometry (14-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Category theory; homological algebra (18-XX) 1 Group theory and generalizations (20-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Special functions (33-XX) 1 Integral equations (45-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Statistics (62-XX) 1 Computer science (68-XX) 1 Classical thermodynamics, heat transfer (80-XX) 1 Astronomy and astrophysics (85-XX)