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## Guzzo, Massimiliano

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 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
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#### 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
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#### 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)

#### 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 0986.37076
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
2002
First numerical evidence of global Arnold diffusion in quasi-integrable systems. Zbl 1081.37035
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
2005
Detection of Arnold diffusion in Hamiltonian systems. Zbl 1027.37039
Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude
2003
Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems. Zbl 0928.37017
Fassò, Francesco; Guzzo, Massimiliano; Benettin, Giancarlo
1998
Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems. Zbl 1083.37050
Froeschlé, Claude; Guzzo, Massimiliano; Lega, Elena
2005
Nekhoroshev-stability of $$L4$$ and $$L5$$ in the spatial restricted three-body problem. Zbl 0934.70010
Benettin, G.; Fassò, F.; Guzzo, M.
1998
The Nekhoroshev theorem and the asteroid belt dynamical system. Zbl 0891.70007
Morbidelli, Alessandro; Guzzo, Massimiliano
1997
Analysis of the chaotic behaviour of orbits diffusing along the Arnold web. Zbl 1185.37141
Froeschlé, Claude; Lega, Elena; Guzzo, Massimiliano
2006
The steep Nekhoroshev’s theorem. Zbl 1337.37038
Guzzo, M.; Chierchia, L.; Benettin, G.
2016
A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems. Zbl 1228.37042
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
2009
Diffusion and stability in perturbed non-convex integrable systems. Zbl 1100.37036
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
2006
A numerical study of Arnold diffusion in a priori unstable systems. Zbl 1185.37143
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
2009
Construction of a Nekhoroshev like result for the asteroid belt dynamical system. Zbl 0883.58032
Guzzo, Massimilliano; Morbidelli, Alessandro
1997
Diffusion in Hamiltonian quasi-integrable systems. Zbl 1163.37020
Lega, Elena; Froeschlé, Claude; Guzzo, Massimiliano
2007
A direct proof of the Nekhoroshev theorem for nearly integrable symplectic maps. Zbl 1162.70321
Guzzo, Massimiliano
2004
On the stability of elliptic equilibria. Zbl 0891.58021
Guzzo, M.; Fassò, F.; Benettin, G.
1998
Fast rotations of the rigid body: A study by Hamiltonian perturbation theory. II: Gyroscopic rotations. Zbl 0920.70009
Benettin, Giancarlo; Fassò, Francesco; Guzzo, Massimiliano
1997
First numerical investigation of a conjecture by N. N. Nekhoroshev about stability in quasi-integrable systems. Zbl 1317.37059
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
2011
A numerical study of the hyperbolic manifolds in a priori unstable systems. A comparison with Melnikov approximations. Zbl 1291.70063
Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude
2010
The steep Nekhoroshev’s theorem and optimal stability exponents (an announcement). Zbl 1326.37040
Guzzo, Massimiliano; Chierchia, Luigi; Benettin, Giancarlo
2014
The numerical detection of the Arnold web and its use for long-term diffusion studies in conservative and weakly dissipative systems. Zbl 1331.37082
Guzzo, Massimiliano; Lega, Elena
2013
A numerical study of the stabilization effect of steepness. Zbl 1270.70060
Todorović, Nataša; Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
2011
Evolution of the tangent vectors and localization of the stable and unstable manifolds of hyperbolic orbits by fast Lyapunov indicators. Zbl 1351.37106
Guzzo, Massimiliano; Lega, Elena
2014
On the formulation of new explicit conditions for steepness from a former result of N.N. Nekhoroshev. Zbl 1302.58002
Schirinzi, Gabriella; Guzzo, Massimiliano
2013
Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings. Zbl 1165.70022
Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude
2009
Long term stability of proper rotations of the perturbed Euler rigid body. Zbl 1087.70003
Benettin, Giancarlo; Fassò, Francesco; Guzzo, Massimiliano
2004
Probing the Nekhoroshev stability of asteroids. Zbl 1045.70010
Guzzo, Massimiliano; Knežević, Zoran; Milani, Andrea
2002
Nekhoroshev stability of quasi-integrable degenerate Hamiltonian systems. Zbl 1012.37044
Guzzo, M.
1999
The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian systems. Zbl 1369.70036
Guzzo, Massimiliano; Lega, Elena
2016
A numerical study of the size of the homoclinic tangle of hyperbolic tori and its correlation with Arnold diffusion in Hamiltonian systems. Zbl 1291.70062
Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude
2010
A spectral formulation of the Nekhoroshev theorem and its relevance for numerical and experimental data analysis. Zbl 0990.37045
Guzzo, Massimilliano; Benettin, Giancarlo
2001
Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem. Zbl 1392.70004
Guzzo, Massimiliano; Lega, Elena
2018
Numerical verification of the steepness of three and four degrees of freedom Hamiltonian systems. Zbl 1372.70040
Schirinzi, Gabriella; Guzzo, Massimiliano
2015
The experimental localization of Aubry-Mather sets using regularization techniques inspired by viscosity theory. Zbl 1163.37330
Guzzo, Massimiliano; Bernardi, Olga; Cardin, Franco
2007
Three-dimensional representations of the tube manifolds of the planar restricted three-body problem. Zbl 1364.65284
Lega, Elena; Guzzo, Massimiliano
2016
New estimates for Evans’ variational approach to weak KAM theory. Zbl 1277.35127
Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano
2013
Chaos and diffusion in dynamical systems through stable-unstable manifolds. Zbl 1211.37098
Guzzo, Massimiliano
2010
Cantori of the dissipative sawtooth map. Zbl 1311.70029
Celletti, Alessandra; Guzzo, Massimiliano
2009
The accelerated Kepler problem. Zbl 1162.70310
Namouni, F.; Guzzo, M.
2007
A PDE approach to finite time indicators in ergodic theory. Zbl 1197.37008
Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano; Zanelli, Lorenzo
2009
A new problem of adiabatic invariance related to the rigid body dynamics. Zbl 1342.70052
Benettin, Giancarlo; Guzzo, Massimiliano; Neishtadt, Anatoly
2008
Adiabatic chaos in the spin-orbit problem. Zbl 1342.70034
Benettin, Giancarlo; Guzzo, Massimiliano; Marini, Valerio
2008
An overview on the Nekhoroshev theorem. Zbl 1157.85305
Guzzo, Massimiliano
2007
Long term stability of proper rotations and local chaotic motions in the perturbed Euler rigid body. Zbl 1133.70310
Benettin, G.; Fassò, F.; Guzzo, M.
2006
Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem. Zbl 1392.70004
Guzzo, Massimiliano; Lega, Elena
2018
The steep Nekhoroshev’s theorem. Zbl 1337.37038
Guzzo, M.; Chierchia, L.; Benettin, G.
2016
The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian systems. Zbl 1369.70036
Guzzo, Massimiliano; Lega, Elena
2016
Three-dimensional representations of the tube manifolds of the planar restricted three-body problem. Zbl 1364.65284
Lega, Elena; Guzzo, Massimiliano
2016
Numerical verification of the steepness of three and four degrees of freedom Hamiltonian systems. Zbl 1372.70040
Schirinzi, Gabriella; Guzzo, Massimiliano
2015
The steep Nekhoroshev’s theorem and optimal stability exponents (an announcement). Zbl 1326.37040
Guzzo, Massimiliano; Chierchia, Luigi; Benettin, Giancarlo
2014
Evolution of the tangent vectors and localization of the stable and unstable manifolds of hyperbolic orbits by fast Lyapunov indicators. Zbl 1351.37106
Guzzo, Massimiliano; Lega, Elena
2014
The numerical detection of the Arnold web and its use for long-term diffusion studies in conservative and weakly dissipative systems. Zbl 1331.37082
Guzzo, Massimiliano; Lega, Elena
2013
On the formulation of new explicit conditions for steepness from a former result of N.N. Nekhoroshev. Zbl 1302.58002
Schirinzi, Gabriella; Guzzo, Massimiliano
2013
New estimates for Evans’ variational approach to weak KAM theory. Zbl 1277.35127
Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano
2013
First numerical investigation of a conjecture by N. N. Nekhoroshev about stability in quasi-integrable systems. Zbl 1317.37059
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
2011
A numerical study of the stabilization effect of steepness. Zbl 1270.70060
Todorović, Nataša; Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
2011
A numerical study of the hyperbolic manifolds in a priori unstable systems. A comparison with Melnikov approximations. Zbl 1291.70063
Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude
2010
A numerical study of the size of the homoclinic tangle of hyperbolic tori and its correlation with Arnold diffusion in Hamiltonian systems. Zbl 1291.70062
Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude
2010
Chaos and diffusion in dynamical systems through stable-unstable manifolds. Zbl 1211.37098
Guzzo, Massimiliano
2010
A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems. Zbl 1228.37042
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
2009
A numerical study of Arnold diffusion in a priori unstable systems. Zbl 1185.37143
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
2009
Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings. Zbl 1165.70022
Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude
2009
Cantori of the dissipative sawtooth map. Zbl 1311.70029
Celletti, Alessandra; Guzzo, Massimiliano
2009
A PDE approach to finite time indicators in ergodic theory. Zbl 1197.37008
Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano; Zanelli, Lorenzo
2009
A new problem of adiabatic invariance related to the rigid body dynamics. Zbl 1342.70052
Benettin, Giancarlo; Guzzo, Massimiliano; Neishtadt, Anatoly
2008
Adiabatic chaos in the spin-orbit problem. Zbl 1342.70034
Benettin, Giancarlo; Guzzo, Massimiliano; Marini, Valerio
2008
Diffusion in Hamiltonian quasi-integrable systems. Zbl 1163.37020
Lega, Elena; Froeschlé, Claude; Guzzo, Massimiliano
2007
The experimental localization of Aubry-Mather sets using regularization techniques inspired by viscosity theory. Zbl 1163.37330
Guzzo, Massimiliano; Bernardi, Olga; Cardin, Franco
2007
The accelerated Kepler problem. Zbl 1162.70310
Namouni, F.; Guzzo, M.
2007
An overview on the Nekhoroshev theorem. Zbl 1157.85305
Guzzo, Massimiliano
2007
Analysis of the chaotic behaviour of orbits diffusing along the Arnold web. Zbl 1185.37141
Froeschlé, Claude; Lega, Elena; Guzzo, Massimiliano
2006
Diffusion and stability in perturbed non-convex integrable systems. Zbl 1100.37036
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
2006
Long term stability of proper rotations and local chaotic motions in the perturbed Euler rigid body. Zbl 1133.70310
Benettin, G.; Fassò, F.; Guzzo, M.
2006
First numerical evidence of global Arnold diffusion in quasi-integrable systems. Zbl 1081.37035
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
2005
Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems. Zbl 1083.37050
Froeschlé, Claude; Guzzo, Massimiliano; Lega, Elena
2005
A direct proof of the Nekhoroshev theorem for nearly integrable symplectic maps. Zbl 1162.70321
Guzzo, Massimiliano
2004
Long term stability of proper rotations of the perturbed Euler rigid body. Zbl 1087.70003
Benettin, Giancarlo; Fassò, Francesco; Guzzo, Massimiliano
2004
Detection of Arnold diffusion in Hamiltonian systems. Zbl 1027.37039
Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude
2003
On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems. Zbl 0986.37076
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
2002
Probing the Nekhoroshev stability of asteroids. Zbl 1045.70010
Guzzo, Massimiliano; Knežević, Zoran; Milani, Andrea
2002
A spectral formulation of the Nekhoroshev theorem and its relevance for numerical and experimental data analysis. Zbl 0990.37045
Guzzo, Massimilliano; Benettin, Giancarlo
2001
Nekhoroshev stability of quasi-integrable degenerate Hamiltonian systems. Zbl 1012.37044
Guzzo, M.
1999
Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems. Zbl 0928.37017
Fassò, Francesco; Guzzo, Massimiliano; Benettin, Giancarlo
1998
Nekhoroshev-stability of $$L4$$ and $$L5$$ in the spatial restricted three-body problem. Zbl 0934.70010
Benettin, G.; Fassò, F.; Guzzo, M.
1998
On the stability of elliptic equilibria. Zbl 0891.58021
Guzzo, M.; Fassò, F.; Benettin, G.
1998
The Nekhoroshev theorem and the asteroid belt dynamical system. Zbl 0891.70007
Morbidelli, Alessandro; Guzzo, Massimiliano
1997
Construction of a Nekhoroshev like result for the asteroid belt dynamical system. Zbl 0883.58032
Guzzo, Massimilliano; Morbidelli, Alessandro
1997
Fast rotations of the rigid body: A study by Hamiltonian perturbation theory. II: Gyroscopic rotations. Zbl 0920.70009
Benettin, Giancarlo; Fassò, Francesco; Guzzo, Massimiliano
1997
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#### 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
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#### 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
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#### 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)