Edit Profile Guzzo, Massimiliano Compute Distance To: Compute Author ID: guzzo.massimiliano Published as: Guzzo, M.; Guzzo, Massimiliano; Guzzo, Massimilliano Documents Indexed: 52 Publications since 1997 all top 5 Co-Authors 6 single-authored 20 Lega, Elena 14 Froeschlé, Claude 11 Benettin, Giancarlo 6 Fassò, Francesco 5 Cardin, Franco 4 Bernardi, Olga 3 Chierchia, Luigi 2 Morbidelli, Alessandro 2 Namouni, Fathi 2 Schirinzi, Gabriella 1 Celletti, Alessandra 1 Efthymiopoulos, Christos 1 Faraggiana, M. A. 1 Knežević, Zoran 1 Marini, Valerio 1 Milani, Andrea 1 Neishtadt, Anatoly I. 1 Páez, Rocío Isabel 1 Todorović, Nataša 1 Zanelli, Lorenzo all top 5 Serials 13 Celestial Mechanics and Dynamical Astronomy 5 Physica D 4 Communications in Mathematical Physics 4 Chaos 4 Regular and Chaotic Dynamics 2 Nonlinearity 2 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 2 Journal of Nonlinear Mathematical Physics 2 Discrete and Continuous Dynamical Systems. Series B 1 Astronomy and Astrophysics 1 Journal of Mathematical Physics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 SIAM Journal on Applied Mathematics 1 Journal of Nonlinear Science 1 Mathematical Physics Electronic Journal 1 Discrete and Continuous Dynamical Systems 1 Communications in Contemporary Mathematics 1 Annales Henri Poincaré all top 5 Fields 40 Mechanics of particles and systems (70-XX) 39 Dynamical systems and ergodic theory (37-XX) 4 Ordinary differential equations (34-XX) 4 Numerical analysis (65-XX) 2 Astronomy and astrophysics (85-XX) 1 Partial differential equations (35-XX) 1 Global analysis, analysis on manifolds (58-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 44 Publications have been cited 343 times in 127 Documents Cited by ▼ Year ▼ On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems. Zbl 0986.37076Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude 29 2002 First numerical evidence of global Arnold diffusion in quasi-integrable systems. Zbl 1081.37035Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude 21 2005 Detection of Arnold diffusion in Hamiltonian systems. Zbl 1027.37039Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude 20 2003 Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems. Zbl 0928.37017Fassò, Francesco; Guzzo, Massimiliano; Benettin, Giancarlo 20 1998 Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems. Zbl 1083.37050Froeschlé, Claude; Guzzo, Massimiliano; Lega, Elena 19 2005 Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem. Zbl 0934.70010Benettin, G.; Fassò, F.; Guzzo, M. 16 1998 The Nekhoroshev theorem and the asteroid belt dynamical system. Zbl 0891.70007Morbidelli, Alessandro; Guzzo, Massimiliano 16 1997 Analysis of the chaotic behaviour of orbits diffusing along the Arnold web. Zbl 1185.37141Froeschlé, Claude; Lega, Elena; Guzzo, Massimiliano 15 2006 The steep Nekhoroshev’s theorem. Zbl 1337.37038Guzzo, M.; Chierchia, L.; Benettin, G. 12 2016 A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems. Zbl 1228.37042Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude 11 2009 Diffusion and stability in perturbed non-convex integrable systems. Zbl 1100.37036Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude 11 2006 A numerical study of Arnold diffusion in a priori unstable systems. Zbl 1185.37143Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude 10 2009 Construction of a Nekhoroshev like result for the asteroid belt dynamical system. Zbl 0883.58032Guzzo, Massimilliano; Morbidelli, Alessandro 10 1997 Diffusion in Hamiltonian quasi-integrable systems. Zbl 1163.37020Lega, Elena; Froeschlé, Claude; Guzzo, Massimiliano 9 2007 A direct proof of the Nekhoroshev theorem for nearly integrable symplectic maps. Zbl 1162.70321Guzzo, Massimiliano 9 2004 On the stability of elliptic equilibria. Zbl 0891.58021Guzzo, M.; Fassò, F.; Benettin, G. 9 1998 Fast rotations of the rigid body: A study by Hamiltonian perturbation theory. II: Gyroscopic rotations. Zbl 0920.70009Benettin, Giancarlo; Fassò, Francesco; Guzzo, Massimiliano 8 1997 First numerical investigation of a conjecture by N. N. Nekhoroshev about stability in quasi-integrable systems. Zbl 1317.37059Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude 7 2011 A numerical study of the hyperbolic manifolds in a priori unstable systems. A comparison with Melnikov approximations. Zbl 1291.70063Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude 7 2010 The steep Nekhoroshev’s theorem and optimal stability exponents (an announcement). Zbl 1326.37040Guzzo, Massimiliano; Chierchia, Luigi; Benettin, Giancarlo 6 2014 The numerical detection of the Arnold web and its use for long-term diffusion studies in conservative and weakly dissipative systems. Zbl 1331.37082Guzzo, Massimiliano; Lega, Elena 6 2013 A numerical study of the stabilization effect of steepness. Zbl 1270.70060Todorović, Nataša; Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude 6 2011 Evolution of the tangent vectors and localization of the stable and unstable manifolds of hyperbolic orbits by fast Lyapunov indicators. Zbl 1351.37106Guzzo, Massimiliano; Lega, Elena 5 2014 On the formulation of new explicit conditions for steepness from a former result of N.N. Nekhoroshev. Zbl 1302.58002Schirinzi, Gabriella; Guzzo, Massimiliano 5 2013 Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings. Zbl 1165.70022Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude 5 2009 Long term stability of proper rotations of the perturbed Euler rigid body. Zbl 1087.70003Benettin, Giancarlo; Fassò, Francesco; Guzzo, Massimiliano 5 2004 Probing the Nekhoroshev stability of asteroids. Zbl 1045.70010Guzzo, Massimiliano; Knežević, Zoran; Milani, Andrea 5 2002 Nekhoroshev stability of quasi-integrable degenerate Hamiltonian systems. Zbl 1012.37044Guzzo, M. 5 1999 The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian systems. Zbl 1369.70036Guzzo, Massimiliano; Lega, Elena 4 2016 A numerical study of the size of the homoclinic tangle of hyperbolic tori and its correlation with Arnold diffusion in Hamiltonian systems. Zbl 1291.70062Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude 4 2010 A spectral formulation of the Nekhoroshev theorem and its relevance for numerical and experimental data analysis. Zbl 0990.37045Guzzo, Massimilliano; Benettin, Giancarlo 4 2001 Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem. Zbl 1392.70004Guzzo, Massimiliano; Lega, Elena 3 2018 Numerical verification of the steepness of three and four degrees of freedom Hamiltonian systems. Zbl 1372.70040Schirinzi, Gabriella; Guzzo, Massimiliano 3 2015 The experimental localization of Aubry-Mather sets using regularization techniques inspired by viscosity theory. Zbl 1163.37330Guzzo, Massimiliano; Bernardi, Olga; Cardin, Franco 3 2007 Three-dimensional representations of the tube manifolds of the planar restricted three-body problem. Zbl 1364.65284Lega, Elena; Guzzo, Massimiliano 2 2016 New estimates for Evans’ variational approach to weak KAM theory. Zbl 1277.35127Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano 2 2013 Chaos and diffusion in dynamical systems through stable-unstable manifolds. Zbl 1211.37098Guzzo, Massimiliano 2 2010 Cantori of the dissipative sawtooth map. Zbl 1311.70029Celletti, Alessandra; Guzzo, Massimiliano 2 2009 The accelerated Kepler problem. Zbl 1162.70310Namouni, F.; Guzzo, M. 2 2007 A PDE approach to finite time indicators in ergodic theory. Zbl 1197.37008Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano; Zanelli, Lorenzo 1 2009 A new problem of adiabatic invariance related to the rigid body dynamics. Zbl 1342.70052Benettin, Giancarlo; Guzzo, Massimiliano; Neishtadt, Anatoly 1 2008 Adiabatic chaos in the spin-orbit problem. Zbl 1342.70034Benettin, Giancarlo; Guzzo, Massimiliano; Marini, Valerio 1 2008 An overview on the Nekhoroshev theorem. Zbl 1157.85305Guzzo, Massimiliano 1 2007 Long term stability of proper rotations and local chaotic motions in the perturbed Euler rigid body. Zbl 1133.70310Benettin, G.; Fassò, F.; Guzzo, M. 1 2006 Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem. Zbl 1392.70004Guzzo, Massimiliano; Lega, Elena 3 2018 The steep Nekhoroshev’s theorem. Zbl 1337.37038Guzzo, M.; Chierchia, L.; Benettin, G. 12 2016 The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian systems. Zbl 1369.70036Guzzo, Massimiliano; Lega, Elena 4 2016 Three-dimensional representations of the tube manifolds of the planar restricted three-body problem. Zbl 1364.65284Lega, Elena; Guzzo, Massimiliano 2 2016 Numerical verification of the steepness of three and four degrees of freedom Hamiltonian systems. Zbl 1372.70040Schirinzi, Gabriella; Guzzo, Massimiliano 3 2015 The steep Nekhoroshev’s theorem and optimal stability exponents (an announcement). Zbl 1326.37040Guzzo, Massimiliano; Chierchia, Luigi; Benettin, Giancarlo 6 2014 Evolution of the tangent vectors and localization of the stable and unstable manifolds of hyperbolic orbits by fast Lyapunov indicators. Zbl 1351.37106Guzzo, Massimiliano; Lega, Elena 5 2014 The numerical detection of the Arnold web and its use for long-term diffusion studies in conservative and weakly dissipative systems. Zbl 1331.37082Guzzo, Massimiliano; Lega, Elena 6 2013 On the formulation of new explicit conditions for steepness from a former result of N.N. Nekhoroshev. Zbl 1302.58002Schirinzi, Gabriella; Guzzo, Massimiliano 5 2013 New estimates for Evans’ variational approach to weak KAM theory. Zbl 1277.35127Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano 2 2013 First numerical investigation of a conjecture by N. N. Nekhoroshev about stability in quasi-integrable systems. Zbl 1317.37059Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude 7 2011 A numerical study of the stabilization effect of steepness. Zbl 1270.70060Todorović, Nataša; Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude 6 2011 A numerical study of the hyperbolic manifolds in a priori unstable systems. A comparison with Melnikov approximations. Zbl 1291.70063Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude 7 2010 A numerical study of the size of the homoclinic tangle of hyperbolic tori and its correlation with Arnold diffusion in Hamiltonian systems. Zbl 1291.70062Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude 4 2010 Chaos and diffusion in dynamical systems through stable-unstable manifolds. Zbl 1211.37098Guzzo, Massimiliano 2 2010 A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems. Zbl 1228.37042Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude 11 2009 A numerical study of Arnold diffusion in a priori unstable systems. Zbl 1185.37143Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude 10 2009 Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings. Zbl 1165.70022Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude 5 2009 Cantori of the dissipative sawtooth map. Zbl 1311.70029Celletti, Alessandra; Guzzo, Massimiliano 2 2009 A PDE approach to finite time indicators in ergodic theory. Zbl 1197.37008Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano; Zanelli, Lorenzo 1 2009 A new problem of adiabatic invariance related to the rigid body dynamics. Zbl 1342.70052Benettin, Giancarlo; Guzzo, Massimiliano; Neishtadt, Anatoly 1 2008 Adiabatic chaos in the spin-orbit problem. Zbl 1342.70034Benettin, Giancarlo; Guzzo, Massimiliano; Marini, Valerio 1 2008 Diffusion in Hamiltonian quasi-integrable systems. Zbl 1163.37020Lega, Elena; Froeschlé, Claude; Guzzo, Massimiliano 9 2007 The experimental localization of Aubry-Mather sets using regularization techniques inspired by viscosity theory. Zbl 1163.37330Guzzo, Massimiliano; Bernardi, Olga; Cardin, Franco 3 2007 The accelerated Kepler problem. Zbl 1162.70310Namouni, F.; Guzzo, M. 2 2007 An overview on the Nekhoroshev theorem. Zbl 1157.85305Guzzo, Massimiliano 1 2007 Analysis of the chaotic behaviour of orbits diffusing along the Arnold web. Zbl 1185.37141Froeschlé, Claude; Lega, Elena; Guzzo, Massimiliano 15 2006 Diffusion and stability in perturbed non-convex integrable systems. Zbl 1100.37036Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude 11 2006 Long term stability of proper rotations and local chaotic motions in the perturbed Euler rigid body. Zbl 1133.70310Benettin, G.; Fassò, F.; Guzzo, M. 1 2006 First numerical evidence of global Arnold diffusion in quasi-integrable systems. Zbl 1081.37035Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude 21 2005 Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems. Zbl 1083.37050Froeschlé, Claude; Guzzo, Massimiliano; Lega, Elena 19 2005 A direct proof of the Nekhoroshev theorem for nearly integrable symplectic maps. Zbl 1162.70321Guzzo, Massimiliano 9 2004 Long term stability of proper rotations of the perturbed Euler rigid body. Zbl 1087.70003Benettin, Giancarlo; Fassò, Francesco; Guzzo, Massimiliano 5 2004 Detection of Arnold diffusion in Hamiltonian systems. Zbl 1027.37039Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude 20 2003 On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems. Zbl 0986.37076Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude 29 2002 Probing the Nekhoroshev stability of asteroids. Zbl 1045.70010Guzzo, Massimiliano; Knežević, Zoran; Milani, Andrea 5 2002 A spectral formulation of the Nekhoroshev theorem and its relevance for numerical and experimental data analysis. Zbl 0990.37045Guzzo, Massimilliano; Benettin, Giancarlo 4 2001 Nekhoroshev stability of quasi-integrable degenerate Hamiltonian systems. Zbl 1012.37044Guzzo, M. 5 1999 Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems. Zbl 0928.37017Fassò, Francesco; Guzzo, Massimiliano; Benettin, Giancarlo 20 1998 Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem. Zbl 0934.70010Benettin, G.; Fassò, F.; Guzzo, M. 16 1998 On the stability of elliptic equilibria. Zbl 0891.58021Guzzo, M.; Fassò, F.; Benettin, G. 9 1998 The Nekhoroshev theorem and the asteroid belt dynamical system. Zbl 0891.70007Morbidelli, Alessandro; Guzzo, Massimiliano 16 1997 Construction of a Nekhoroshev like result for the asteroid belt dynamical system. Zbl 0883.58032Guzzo, Massimilliano; Morbidelli, Alessandro 10 1997 Fast rotations of the rigid body: A study by Hamiltonian perturbation theory. II: Gyroscopic rotations. Zbl 0920.70009Benettin, Giancarlo; Fassò, Francesco; Guzzo, Massimiliano 8 1997 all cited Publications top 5 cited Publications all top 5 Cited by 148 Authors 27 Guzzo, Massimiliano 20 Lega, Elena 16 Froeschlé, Claude 8 Celletti, Alessandra 8 Cincotta, Pablo M. 7 Efthymiopoulos, Christos 7 Niederman, Laurent 6 Bounemoura, Abed 6 Giordano, Claudia M. 5 Chierchia, Luigi 5 Gales, Catalin Bogdan 4 Barrio, Roberto 4 Benettin, Giancarlo 4 Fassò, Francesco 3 Bernardi, Olga 3 Fayad, Bassam R. 3 Gidea, Marian 3 Lhotka, Christoph 3 Morbidelli, Alessandro 2 Bambusi, Dario 2 Beaugé, Cristián 2 Biasco, Luca 2 Blesa, Fernando 2 Cardin, Franco 2 Cong, Fuzhong 2 Daquin, Jérôme 2 Fusè, Alessandra 2 Li, Hongtian 2 Páez, Rocío Isabel 2 Palacián, Jesús F. 2 Panayotaros, Panayotis 2 Pinzari, Gabriella 2 Russell, Ryan P. 2 Ruzza, Sara Di 2 Schirinzi, Gabriella 2 Serrano, Sergio E. 2 Todorović, Nataša 2 Verhulst, Ferdinand 2 Xu, Ming 2 Yanguas, Patricia 1 Alessi, Elisa Maria 1 Anees, Amir 1 Anzo-Hernández, Andres 1 Bálint, Érdi 1 Baluev, Roman V. 1 Barbieri, Santiago 1 Bloch, Anthony M. 1 Cachucho, F. 1 Calleja, Renato C. 1 Campos-Cantón, Eric 1 Cárcamo-Díaz, Daniela 1 Cohen, David W. 1 Contopoulos, George 1 Cosentino, Marina 1 Dalla Riva, Matteo 1 Darriba, L. A. 1 de la Llave, Rafael 1 Deleflie, Florent 1 Delis, N. 1 Dijksma, Aad 1 Ditto, William L. 1 Dumas, H. Scott 1 Edelman, Mark 1 Evans, Lawrence Craig 1 Faraggiana, M. A. 1 Farrelly, David 1 Féjoz, Jacques 1 Ferraz-Mello, Syivio S. 1 Fontanari, Daniele 1 Funk, Barbara 1 Gamboa Suárez, Antonio 1 Gelfreich, Vassili 1 Giacobbe, Andrea 1 Gilardi-Velázquez, H. E. 1 Giorgilli, Antonio 1 Guardia, Marcel 1 Guillery, Nathan 1 Hairer, Ernst 1 Hestroffer, Daniel 1 Hippke, Michael 1 Hong, Jialin 1 Hussain, Iqtadar 1 Kaloshin, Vadim Yu. 1 Kia, Behnam 1 Kohar, Vivek 1 Kunze, Markus 1 Lantoine, Gregory 1 Laveder, Dimitri 1 Learned, John G. 1 Levnajić, Zoran 1 Lewis, Debra 1 Li, Yong 1 Liang, Yuying 1 Lin, Mingpei 1 Lindner, John F. 1 Lubich, Christian 1 Lukes-Gerakopoulos, Georgios 1 Luo, Tong 1 Luque, Alejandro 1 MacKay, Robert Sinclair ...and 48 more Authors all top 5 Cited in 43 Serials 33 Celestial Mechanics and Dynamical Astronomy 12 Regular and Chaotic Dynamics 9 Physica D 8 Chaos 5 Communications in Mathematical Physics 5 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering 3 Chaos, Solitons and Fractals 3 Journal of Nonlinear Science 3 Discrete and Continuous Dynamical Systems 3 Communications in Nonlinear Science and Numerical Simulation 2 Archive for Rational Mechanics and Analysis 2 Nonlinearity 2 Annales de l’Institut Fourier 2 Journal of Differential Equations 2 Ergodic Theory and Dynamical Systems 2 Acta Applicandae Mathematicae 2 Journal of Nonlinear Mathematical Physics 2 Discrete and Continuous Dynamical Systems. Series B 1 International Journal of Modern Physics B 1 Journal of Mathematical Analysis and Applications 1 Journal of Mathematical Physics 1 Journal of Statistical Physics 1 Physica A 1 Journal of Geometry and Physics 1 Advances in Mathematics 1 Annali di Matematica Pura ed Applicata. Serie Quarta 1 Commentarii Mathematici Helvetici 1 Mathematics and Computers in Simulation 1 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods 1 Rendiconti del Seminario Matemàtico e Fisico di Milano 1 Chinese Annals of Mathematics. Series B 1 Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni 1 Journal of Dynamics and Differential Equations 1 Nonlinear Dynamics 1 Mathematical Physics, Analysis and Geometry 1 Fractional Calculus & Applied Analysis 1 Journal of the European Mathematical Society (JEMS) 1 Russian Physics Journal 1 Qualitative Theory of Dynamical Systems 1 Dynamical Systems 1 Milan Journal of Mathematics 1 SIAM Journal on Applied Dynamical Systems 1 Symmetry all top 5 Cited in 22 Fields 97 Dynamical systems and ergodic theory (37-XX) 85 Mechanics of particles and systems (70-XX) 16 Ordinary differential equations (34-XX) 5 Numerical analysis (65-XX) 4 Partial differential equations (35-XX) 4 Fluid mechanics (76-XX) 4 Information and communication theory, circuits (94-XX) 3 Statistical mechanics, structure of matter (82-XX) 2 Operator theory (47-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 Algebraic geometry (14-XX) 1 Functions of a complex variable (30-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Approximations and expansions (41-XX) 1 Differential geometry (53-XX) 1 Algebraic topology (55-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Quantum theory (81-XX) 1 Relativity and gravitational theory (83-XX) 1 Geophysics (86-XX) 1 Systems theory; control (93-XX) Citations by Year