Edit Profile (opens in new tab) Bambusi, Dario Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications 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 1110.37057Bambusi, D.; Grébert, B. 97 2006 Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods. Zbl 1003.37042Bambusi, Dario; Graffi, Sandro 70 2001 Birkhoff normal form for some nonlinear PDEs. Zbl 1032.37051Bambusi, Dario 69 2003 Almost global existence for Hamiltonian semilinear Klein-Gordon equations with small Cauchy data on Zoll manifolds. Zbl 1170.35481Bambusi, D.; Delort, J.-M.; Grébert, B.; Szeftel, J. 53 2007 Reducibility of the quantum harmonic oscillator in \(d\)-dimensions with polynomial time-dependent perturbation. Zbl 1386.35059Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier 42 2018 On long time stability in Hamiltonian perturbations of non-resonant linear PDEs. Zbl 0989.37073Bambusi, Dario 37 1999 Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations. Zbl 0928.35160Bambusi, Dario 35 1999 Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. II. Zbl 1367.35149Bambusi, D. 35 2017 Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. I. Zbl 1386.35058Bambusi, Dario 33 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 1237.35115Bambusi, Dario; Cuccagna, Scipio 33 2011 On metastability in FPU. Zbl 1233.37049Bambusi, Dario; Ponno, Antonio 31 2006 Families of periodic solutions of resonant PDEs. Zbl 0994.37040Bambusi, Dario; Paleari, Simone 30 2001 Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators. Zbl 0925.70230Bambusi, Dario 30 1996 Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems. Zbl 0943.82549Bambusi, Dario; Giorgilli, Antonio 29 1993 A Birkhoff normal form theorem for some semilinear PDEs. Zbl 1145.37038Bambusi, D. 25 2008 Degenerate KAM theory for partial differential equations. Zbl 1213.37103Bambusi, D.; Berti, M.; Magistrelli, E. 22 2011 Long time semiclassical approximation of quantum flows: A proof of the Ehrenfest time. Zbl 0934.35142Bambusi, Dario; Graffi, Sandro; Paul, Thierry 21 1999 Lyapunov center theorem for some nonlinar PDE’s: a simple proof. Zbl 1008.35003Bambusi, Dario 17 2000 A property of exponential stability in nonlinear wave equations near the fundamental linear mode. Zbl 0937.35010Bambusi, D.; Nekhoroshev, N. N. 16 1998 Continuous approximation of breathers in one- and two-dimensional DNLS lattices. Zbl 1183.37123Bambusi, D.; Penati, T. 16 2010 Korteweg-de Vries equation and energy sharing in Fermi-Pasta-Ulam. Zbl 1080.37073Ponno, A.; Bambusi, D. 14 2005 A Birkhoff-Lewis-type theorem for some Hamiltonian PDEs. Zbl 1105.37045Bambusi, Dario; Berti, Massimiliano 14 2005 Normal forms and quantization formulae. Zbl 1040.81019Bambusi, Dario; Graffi, Sandro; Paul, Thierry 14 1999 Quasiperiodic breathers in Hamiltonian lattices with symmetries. Zbl 1038.37058Bambusi, D.; Vella, D. 14 2002 Galerkin averaging method and Poincaré normal form for some quasilinear PDEs. Zbl 1170.35317Bambusi, Dario 13 2005 Existence and continuous approximation of small amplitude breathers in 1D and 2D Klein-Gordon lattices. Zbl 1203.37121Bambusi, Dario; Paleari, Simone; Penati, Tiziano 13 2010 Reducibility of non-resonant transport equation on \({\mathbb {T}}^d\) with unbounded perturbations. Zbl 1434.82077Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo 12 2019 Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations. III. Zbl 1404.81089Bambusi, D.; Montalto, R. 12 2018 Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry. Zbl 1267.35140Bambusi, Dario 12 2013 An averaging theorem for FPU in the thermodynamic limit. Zbl 1295.82004Maiocchi, A.; Bambusi, D.; Carati, A. 11 2014 Growth of Sobolev norms for abstract linear Schrödinger equations. Zbl 1460.35307Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier 10 2021 Normal forms, symmetry and linearization of dynamical systems. Zbl 0969.34031Bambusi, Dario; Cicogna, Giampaolo; Gaeta, Giuseppe; Marmo, Giuseppe 10 1998 On persistence of invariant tori and a theorem by Nekhoroshev. Zbl 1042.37037Bambusi, Dario; Gaeta, Giuseppe 10 2002 Freezing of energy of a soliton in an external potential. Zbl 1342.35320Bambusi, D.; Maspero, A. 10 2016 Asymptotic stability of breathers in some Hamiltonian networks of weakly coupled oscillators. Zbl 1286.37064Bambusi, Dario 9 2013 Birkhoff coordinates for the Toda lattice in the limit of infinitely many particles with an application to FPU. Zbl 1335.37047Bambusi, D.; Maspero, A. 9 2016 Normal form and exponential stability for some nonlinear string equations. Zbl 0996.35046Paleari, Simone; Bambusi, Dario; Cacciatori, Sergio 9 2001 Exponential times in the one-dimensional Gross-Pitaevskii equation with multiple well potential. Zbl 1134.35097Bambusi, Dario; Sacchetti, Andrea 9 2007 On the Darboux theorem for weak symplectic manifolds. Zbl 0958.58005Bambusi, Dario 8 1999 Forme normale pour NLS en dimension quelconque. (Normal form for NLS in arbitrary dimension). Zbl 1030.35143Bambusi, Dario; Grébert, Benoît 8 2003 Resonance, metastability and blow up in FPU. Zbl 1151.82303Bambusi, Dario; Ponno, Antonio 8 2008 Existence and stability of ground states for fully discrete approximations of the nonlinear Schrödinger equation. Zbl 1261.65133Bambusi, Dario; Faou, Erwan; Grébert, Benoît 8 2013 Some rigorous results on the Pauli-Fierz model of classical electrodynamics. Zbl 0769.35057Bambusi, Dario; Galgani, Luigi 8 1993 Some analytic results on the FPU paradox. Zbl 1339.37074Bambusi, Dario; Carati, Andrea; Maiocchi, Alberto; Maspero, Alberto 8 2015 An averaging theorem for quasilinear Hamiltonian PDEs. Zbl 1031.37056Bambusi, Dario 7 2003 Long time stability of some small amplitude solutions in nonlinear Schrödinger equations. Zbl 0895.35095Bambusi, Dario 7 1997 Families of periodic orbits for some PDE’s in higher dimensions. Zbl 1034.35081Bambusi, Dario; Paleari, Simone 7 2002 Clifford algebra description of non-Abelian gauge fields. Zbl 0715.15010Bambusi, Dario 7 1990 Invariant tori for non conservative perturbations of integrable systems. Zbl 1125.37318Bambusi, Dario; Gaeta, Giuseppe 6 2001 The nonlinear Schrödinger equation as a resonant normal form. Zbl 1068.37056Bambusi, D.; Carati, A.; Ponno, A. 6 2002 Boundary effects on the dynamics of chains of coupled oscillators. Zbl 1158.37310Bambusi, D.; Carati, A.; Penati, T. 6 2009 Asymptotic stability of synchronous orbits for a gravitating viscoelastic sphere. Zbl 1266.70022Bambusi, Dario; Haus, Emanuele 5 2012 From Toda to KdV. (De Toda à KdV.) Zbl 1181.37110Bambusi, Dario; Kappeler, Thomas; Paul, Thierry 4 2009 Long time stability in perturbations of completely resonant PDE’s. Zbl 1106.37308Bambusi, D.; Nekhoroshev, N. N. 4 2002 From Toda to KdV. Zbl 1334.37078Bambusi, D.; Kappeler, T.; Paul, T. 4 2015 Nekhoroshev theorem for perturbations of the central motion. Zbl 1384.37074Bambusi, Dario; Fusè, Alessandra 4 2017 Symmetry and perturbation theory. Proceedings of the 3rd international conference (SPT 2001), Cala Gonone, Sardinia, Italy, May 6–13, 2001. Zbl 0985.00019 4 2001 Birkhoff normal form for some quasilinear Hamiltonian PDEs. Zbl 1108.37048Bambusi, Dario 4 2005 On the spectrum of the Schrödinger operator on \(\mathbb{T}^d\): a normal form approach. Zbl 1439.81036Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo 3 2020 On classical electrodynamics of point particles and mass renormalization: Some preliminary results. Zbl 0862.35118Bambusi, Dario; Noja, Diego 3 1996 A Nekhoroshev-type theorem for the Pauli-Fierz model of classical electrodynamics. Zbl 0805.35130Bambusi, Dario 3 1994 Hamiltonian PDEs. (With an appendix by Dario Bambusi). Zbl 1130.37392Kuksin, Sergei B. 3 2006 Semiclassical normal forms. Zbl 1322.81046Bambusi, D. 3 2004 Some stability properties of breathers in Hamiltonian networks of oscillators. Zbl 0988.37080Bambusi, Dario 2 1998 On a weakened form of the averaging principle in multifrequency systems. Zbl 0824.34046Andreolli, M.; Bambusi, D.; Giorgilli, A. 2 1995 Stability of spectral eigenspaces in nonlinear Schrödinger equations. Zbl 1132.35473Bambusi, Dario; Sacchetti, Andrea 2 2007 Numerical studies on boundary effects on the FPU paradox. Zbl 1220.70015Bambusi, D.; Muraro, D.; Penati, T. 2 2008 Asymptotic behavior of an elastic satellite with internal friction. Zbl 1332.74021Haus, E.; Bambusi, D. 2 2015 A reversible Nekhoroshev theorem for persistence of invariant tori in systems with symmetry. Zbl 1359.37119Bambusi, D. 2 2015 Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori. Zbl 07461238Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo 2 2022 Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori. Zbl 07487012Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo 2 2022 Almost global existence for a fractional Schrödinger equation on spheres and tori. Zbl 1290.35303Bambusi, Dario; Sire, Yannick 1 2013 Energy cascade in Fermi-Pasta-Ulam models. Zbl 1138.82338Ponno, A.; Bambusi, D. 1 2005 Uniform Nekhoroshev estimates on quantum normal forms. Zbl 0814.34026Bambusi, Dario 1 1995 Uniform convergence of the Lie-Dyson expansion with respect to the Planck constant. Zbl 1223.81108Bambusi, Dario; Degli Esposti, Mirko; Graffi, Sandro 1 2007 Exponential stability in the perturbed central force problem. Zbl 1411.70031Bambusi, Dario; Fusè, Alessandra; Sansottera, Marco 1 2018 Dynamics of periodic Toda chains with a large number of particles. Zbl 1317.35255Bambusi, D.; Kappeler, T.; Paul, T. 1 2015 Invariant tori for commuting Hamiltonian PDEs. Zbl 1165.37021Bambusi, D.; Bardelle, C. 1 2009 Dispersive estimate for quasi-periodic Schrödinger operators on \(1-d\) lattices. Zbl 1435.35137Bambusi, Dario; Zhao, Zhiyan 1 2020 Convergence to normal forms of integrable PDEs. Zbl 1445.37051Bambusi, Dario; Stolovitch, Laurent 1 2020 Spectral asymptotics of all the eigenvalues of Schrödinger operators on flat tori. Zbl 07461238Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo 2 2022 Growth of Sobolev norms for unbounded perturbations of the Schrödinger equation on flat tori. Zbl 07487012Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo 2 2022 Growth of Sobolev norms for abstract linear Schrödinger equations. Zbl 1460.35307Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier 10 2021 On the spectrum of the Schrödinger operator on \(\mathbb{T}^d\): a normal form approach. Zbl 1439.81036Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo 3 2020 Dispersive estimate for quasi-periodic Schrödinger operators on \(1-d\) lattices. Zbl 1435.35137Bambusi, Dario; Zhao, Zhiyan 1 2020 Convergence to normal forms of integrable PDEs. Zbl 1445.37051Bambusi, Dario; Stolovitch, Laurent 1 2020 Reducibility of non-resonant transport equation on \({\mathbb {T}}^d\) with unbounded perturbations. Zbl 1434.82077Bambusi, Dario; Langella, Beatrice; Montalto, Riccardo 12 2019 Reducibility of the quantum harmonic oscillator in \(d\)-dimensions with polynomial time-dependent perturbation. Zbl 1386.35059Bambusi, Dario; Grébert, Benoît; Maspero, Alberto; Robert, Didier 42 2018 Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. I. Zbl 1386.35058Bambusi, Dario 33 2018 Reducibility of 1-d Schrödinger equation with unbounded time quasiperiodic perturbations. III. Zbl 1404.81089Bambusi, D.; Montalto, R. 12 2018 Exponential stability in the perturbed central force problem. Zbl 1411.70031Bambusi, Dario; Fusè, Alessandra; Sansottera, Marco 1 2018 Reducibility of 1-d Schrödinger equation with time quasiperiodic unbounded perturbations. II. Zbl 1367.35149Bambusi, D. 35 2017 Nekhoroshev theorem for perturbations of the central motion. Zbl 1384.37074Bambusi, Dario; Fusè, Alessandra 4 2017 Freezing of energy of a soliton in an external potential. Zbl 1342.35320Bambusi, D.; Maspero, A. 10 2016 Birkhoff coordinates for the Toda lattice in the limit of infinitely many particles with an application to FPU. Zbl 1335.37047Bambusi, D.; Maspero, A. 9 2016 Some analytic results on the FPU paradox. Zbl 1339.37074Bambusi, Dario; Carati, Andrea; Maiocchi, Alberto; Maspero, Alberto 8 2015 From Toda to KdV. Zbl 1334.37078Bambusi, D.; Kappeler, T.; Paul, T. 4 2015 Asymptotic behavior of an elastic satellite with internal friction. Zbl 1332.74021Haus, E.; Bambusi, D. 2 2015 A reversible Nekhoroshev theorem for persistence of invariant tori in systems with symmetry. Zbl 1359.37119Bambusi, D. 2 2015 Dynamics of periodic Toda chains with a large number of particles. Zbl 1317.35255Bambusi, D.; Kappeler, T.; Paul, T. 1 2015 An averaging theorem for FPU in the thermodynamic limit. Zbl 1295.82004Maiocchi, A.; Bambusi, D.; Carati, A. 11 2014 Asymptotic stability of ground states in some Hamiltonian PDEs with symmetry. Zbl 1267.35140Bambusi, Dario 12 2013 Asymptotic stability of breathers in some Hamiltonian networks of weakly coupled oscillators. Zbl 1286.37064Bambusi, Dario 9 2013 Existence and stability of ground states for fully discrete approximations of the nonlinear Schrödinger equation. Zbl 1261.65133Bambusi, Dario; Faou, Erwan; Grébert, Benoît 8 2013 Almost global existence for a fractional Schrödinger equation on spheres and tori. Zbl 1290.35303Bambusi, Dario; Sire, Yannick 1 2013 Asymptotic stability of synchronous orbits for a gravitating viscoelastic sphere. Zbl 1266.70022Bambusi, Dario; Haus, Emanuele 5 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 1237.35115Bambusi, Dario; Cuccagna, Scipio 33 2011 Degenerate KAM theory for partial differential equations. Zbl 1213.37103Bambusi, D.; Berti, M.; Magistrelli, E. 22 2011 Continuous approximation of breathers in one- and two-dimensional DNLS lattices. Zbl 1183.37123Bambusi, D.; Penati, T. 16 2010 Existence and continuous approximation of small amplitude breathers in 1D and 2D Klein-Gordon lattices. Zbl 1203.37121Bambusi, Dario; Paleari, Simone; Penati, Tiziano 13 2010 Boundary effects on the dynamics of chains of coupled oscillators. Zbl 1158.37310Bambusi, D.; Carati, A.; Penati, T. 6 2009 From Toda to KdV. (De Toda à KdV.) Zbl 1181.37110Bambusi, Dario; Kappeler, Thomas; Paul, Thierry 4 2009 Invariant tori for commuting Hamiltonian PDEs. Zbl 1165.37021Bambusi, D.; Bardelle, C. 1 2009 A Birkhoff normal form theorem for some semilinear PDEs. Zbl 1145.37038Bambusi, D. 25 2008 Resonance, metastability and blow up in FPU. Zbl 1151.82303Bambusi, Dario; Ponno, Antonio 8 2008 Numerical studies on boundary effects on the FPU paradox. Zbl 1220.70015Bambusi, D.; Muraro, D.; Penati, T. 2 2008 Almost global existence for Hamiltonian semilinear Klein-Gordon equations with small Cauchy data on Zoll manifolds. Zbl 1170.35481Bambusi, D.; Delort, J.-M.; Grébert, B.; Szeftel, J. 53 2007 Exponential times in the one-dimensional Gross-Pitaevskii equation with multiple well potential. Zbl 1134.35097Bambusi, Dario; Sacchetti, Andrea 9 2007 Stability of spectral eigenspaces in nonlinear Schrödinger equations. Zbl 1132.35473Bambusi, Dario; Sacchetti, Andrea 2 2007 Uniform convergence of the Lie-Dyson expansion with respect to the Planck constant. Zbl 1223.81108Bambusi, Dario; Degli Esposti, Mirko; Graffi, Sandro 1 2007 Birkhoff normal form for partial differential equations with tame modulus. Zbl 1110.37057Bambusi, D.; Grébert, B. 97 2006 On metastability in FPU. Zbl 1233.37049Bambusi, Dario; Ponno, Antonio 31 2006 Hamiltonian PDEs. (With an appendix by Dario Bambusi). Zbl 1130.37392Kuksin, Sergei B. 3 2006 Korteweg-de Vries equation and energy sharing in Fermi-Pasta-Ulam. Zbl 1080.37073Ponno, A.; Bambusi, D. 14 2005 A Birkhoff-Lewis-type theorem for some Hamiltonian PDEs. Zbl 1105.37045Bambusi, Dario; Berti, Massimiliano 14 2005 Galerkin averaging method and Poincaré normal form for some quasilinear PDEs. Zbl 1170.35317Bambusi, Dario 13 2005 Birkhoff normal form for some quasilinear Hamiltonian PDEs. Zbl 1108.37048Bambusi, Dario 4 2005 Energy cascade in Fermi-Pasta-Ulam models. Zbl 1138.82338Ponno, A.; Bambusi, D. 1 2005 Semiclassical normal forms. Zbl 1322.81046Bambusi, D. 3 2004 Birkhoff normal form for some nonlinear PDEs. Zbl 1032.37051Bambusi, Dario 69 2003 Forme normale pour NLS en dimension quelconque. (Normal form for NLS in arbitrary dimension). Zbl 1030.35143Bambusi, Dario; Grébert, Benoît 8 2003 An averaging theorem for quasilinear Hamiltonian PDEs. Zbl 1031.37056Bambusi, Dario 7 2003 Quasiperiodic breathers in Hamiltonian lattices with symmetries. Zbl 1038.37058Bambusi, D.; Vella, D. 14 2002 On persistence of invariant tori and a theorem by Nekhoroshev. Zbl 1042.37037Bambusi, Dario; Gaeta, Giuseppe 10 2002 Families of periodic orbits for some PDE’s in higher dimensions. Zbl 1034.35081Bambusi, Dario; Paleari, Simone 7 2002 The nonlinear Schrödinger equation as a resonant normal form. Zbl 1068.37056Bambusi, D.; Carati, A.; Ponno, A. 6 2002 Long time stability in perturbations of completely resonant PDE’s. Zbl 1106.37308Bambusi, D.; Nekhoroshev, N. N. 4 2002 Time quasi-periodic unbounded perturbations of Schrödinger operators and KAM methods. Zbl 1003.37042Bambusi, Dario; Graffi, Sandro 70 2001 Families of periodic solutions of resonant PDEs. Zbl 0994.37040Bambusi, Dario; Paleari, Simone 30 2001 Normal form and exponential stability for some nonlinear string equations. Zbl 0996.35046Paleari, Simone; Bambusi, Dario; Cacciatori, Sergio 9 2001 Invariant tori for non conservative perturbations of integrable systems. Zbl 1125.37318Bambusi, Dario; Gaeta, Giuseppe 6 2001 Symmetry and perturbation theory. Proceedings of the 3rd international conference (SPT 2001), Cala Gonone, Sardinia, Italy, May 6–13, 2001. Zbl 0985.00019 4 2001 Lyapunov center theorem for some nonlinar PDE’s: a simple proof. Zbl 1008.35003Bambusi, Dario 17 2000 On long time stability in Hamiltonian perturbations of non-resonant linear PDEs. Zbl 0989.37073Bambusi, Dario 37 1999 Nekhoroshev theorem for small amplitude solutions in nonlinear Schrödinger equations. Zbl 0928.35160Bambusi, Dario 35 1999 Long time semiclassical approximation of quantum flows: A proof of the Ehrenfest time. Zbl 0934.35142Bambusi, Dario; Graffi, Sandro; Paul, Thierry 21 1999 Normal forms and quantization formulae. Zbl 1040.81019Bambusi, Dario; Graffi, Sandro; Paul, Thierry 14 1999 On the Darboux theorem for weak symplectic manifolds. Zbl 0958.58005Bambusi, Dario 8 1999 A property of exponential stability in nonlinear wave equations near the fundamental linear mode. Zbl 0937.35010Bambusi, D.; Nekhoroshev, N. N. 16 1998 Normal forms, symmetry and linearization of dynamical systems. Zbl 0969.34031Bambusi, Dario; Cicogna, Giampaolo; Gaeta, Giuseppe; Marmo, Giuseppe 10 1998 Some stability properties of breathers in Hamiltonian networks of oscillators. Zbl 0988.37080Bambusi, Dario 2 1998 Long time stability of some small amplitude solutions in nonlinear Schrödinger equations. Zbl 0895.35095Bambusi, Dario 7 1997 Exponential stability of breathers in Hamiltonian networks of weakly coupled oscillators. Zbl 0925.70230Bambusi, Dario 30 1996 On classical electrodynamics of point particles and mass renormalization: Some preliminary results. Zbl 0862.35118Bambusi, Dario; Noja, Diego 3 1996 On a weakened form of the averaging principle in multifrequency systems. Zbl 0824.34046Andreolli, M.; Bambusi, D.; Giorgilli, A. 2 1995 Uniform Nekhoroshev estimates on quantum normal forms. Zbl 0814.34026Bambusi, Dario 1 1995 A Nekhoroshev-type theorem for the Pauli-Fierz model of classical electrodynamics. Zbl 0805.35130Bambusi, Dario 3 1994 Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems. Zbl 0943.82549Bambusi, Dario; Giorgilli, Antonio 29 1993 Some rigorous results on the Pauli-Fierz model of classical electrodynamics. Zbl 0769.35057Bambusi, Dario; Galgani, Luigi 8 1993 Clifford algebra description of non-Abelian gauge fields. Zbl 0715.15010Bambusi, Dario 7 1990 all cited Publications top 5 cited Publications all top 5 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 all top 5 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 all top 5 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) Citations by Year