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Guzzo, Massimiliano

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Author ID: guzzo.massimiliano Recent zbMATH articles by "Guzzo, Massimiliano"
Published as: Guzzo, M.; Guzzo, Massimiliano; Guzzo, Massimilliano
Documents Indexed: 52 Publications since 1997

Publications by Year

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
29
2002
First numerical evidence of global Arnold diffusion in quasi-integrable systems. Zbl 1081.37035
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
21
2005
Detection of Arnold diffusion in Hamiltonian systems. Zbl 1027.37039
Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude
20
2003
Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems. Zbl 0928.37017
Fassò, Francesco; Guzzo, Massimiliano; Benettin, Giancarlo
20
1998
Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems. Zbl 1083.37050
Froeschlé, Claude; Guzzo, Massimiliano; Lega, Elena
19
2005
Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem. Zbl 0934.70010
Benettin, G.; Fassò, F.; Guzzo, M.
16
1998
The Nekhoroshev theorem and the asteroid belt dynamical system. Zbl 0891.70007
Morbidelli, Alessandro; Guzzo, Massimiliano
16
1997
Analysis of the chaotic behaviour of orbits diffusing along the Arnold web. Zbl 1185.37141
Froeschlé, Claude; Lega, Elena; Guzzo, Massimiliano
15
2006
The steep Nekhoroshev’s theorem. Zbl 1337.37038
Guzzo, 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 1228.37042
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
11
2009
Diffusion and stability in perturbed non-convex integrable systems. Zbl 1100.37036
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
11
2006
A numerical study of Arnold diffusion in a priori unstable systems. Zbl 1185.37143
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
10
2009
Construction of a Nekhoroshev like result for the asteroid belt dynamical system. Zbl 0883.58032
Guzzo, Massimilliano; Morbidelli, Alessandro
10
1997
Diffusion in Hamiltonian quasi-integrable systems. Zbl 1163.37020
Lega, Elena; Froeschlé, Claude; Guzzo, Massimiliano
9
2007
A direct proof of the Nekhoroshev theorem for nearly integrable symplectic maps. Zbl 1162.70321
Guzzo, Massimiliano
9
2004
On the stability of elliptic equilibria. Zbl 0891.58021
Guzzo, M.; Fassò, F.; Benettin, G.
9
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
8
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
7
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
7
2010
The steep Nekhoroshev’s theorem and optimal stability exponents (an announcement). Zbl 1326.37040
Guzzo, 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 1331.37082
Guzzo, Massimiliano; Lega, Elena
6
2013
A numerical study of the stabilization effect of steepness. Zbl 1270.70060
Todorović, 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 1351.37106
Guzzo, Massimiliano; Lega, Elena
5
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
5
2013
Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings. Zbl 1165.70022
Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude
5
2009
Long term stability of proper rotations of the perturbed Euler rigid body. Zbl 1087.70003
Benettin, Giancarlo; Fassò, Francesco; Guzzo, Massimiliano
5
2004
Probing the Nekhoroshev stability of asteroids. Zbl 1045.70010
Guzzo, Massimiliano; Knežević, Zoran; Milani, Andrea
5
2002
Nekhoroshev stability of quasi-integrable degenerate Hamiltonian systems. Zbl 1012.37044
Guzzo, M.
5
1999
The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian systems. Zbl 1369.70036
Guzzo, 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 1291.70062
Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude
4
2010
A spectral formulation of the Nekhoroshev theorem and its relevance for numerical and experimental data analysis. Zbl 0990.37045
Guzzo, Massimilliano; Benettin, Giancarlo
4
2001
Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem. Zbl 1392.70004
Guzzo, Massimiliano; Lega, Elena
3
2018
Numerical verification of the steepness of three and four degrees of freedom Hamiltonian systems. Zbl 1372.70040
Schirinzi, Gabriella; Guzzo, Massimiliano
3
2015
The experimental localization of Aubry-Mather sets using regularization techniques inspired by viscosity theory. Zbl 1163.37330
Guzzo, Massimiliano; Bernardi, Olga; Cardin, Franco
3
2007
Three-dimensional representations of the tube manifolds of the planar restricted three-body problem. Zbl 1364.65284
Lega, Elena; Guzzo, Massimiliano
2
2016
New estimates for Evans’ variational approach to weak KAM theory. Zbl 1277.35127
Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano
2
2013
Chaos and diffusion in dynamical systems through stable-unstable manifolds. Zbl 1211.37098
Guzzo, Massimiliano
2
2010
Cantori of the dissipative sawtooth map. Zbl 1311.70029
Celletti, Alessandra; Guzzo, Massimiliano
2
2009
The accelerated Kepler problem. Zbl 1162.70310
Namouni, F.; Guzzo, M.
2
2007
A PDE approach to finite time indicators in ergodic theory. Zbl 1197.37008
Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano; Zanelli, Lorenzo
1
2009
A new problem of adiabatic invariance related to the rigid body dynamics. Zbl 1342.70052
Benettin, Giancarlo; Guzzo, Massimiliano; Neishtadt, Anatoly
1
2008
Adiabatic chaos in the spin-orbit problem. Zbl 1342.70034
Benettin, Giancarlo; Guzzo, Massimiliano; Marini, Valerio
1
2008
An overview on the Nekhoroshev theorem. Zbl 1157.85305
Guzzo, Massimiliano
1
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.
1
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
3
2018
The steep Nekhoroshev’s theorem. Zbl 1337.37038
Guzzo, M.; Chierchia, L.; Benettin, G.
12
2016
The Nekhoroshev theorem and the observation of long-term diffusion in Hamiltonian systems. Zbl 1369.70036
Guzzo, Massimiliano; Lega, Elena
4
2016
Three-dimensional representations of the tube manifolds of the planar restricted three-body problem. Zbl 1364.65284
Lega, Elena; Guzzo, Massimiliano
2
2016
Numerical verification of the steepness of three and four degrees of freedom Hamiltonian systems. Zbl 1372.70040
Schirinzi, Gabriella; Guzzo, Massimiliano
3
2015
The steep Nekhoroshev’s theorem and optimal stability exponents (an announcement). Zbl 1326.37040
Guzzo, 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 1351.37106
Guzzo, 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 1331.37082
Guzzo, Massimiliano; Lega, Elena
6
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
5
2013
New estimates for Evans’ variational approach to weak KAM theory. Zbl 1277.35127
Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano
2
2013
First numerical investigation of a conjecture by N. N. Nekhoroshev about stability in quasi-integrable systems. Zbl 1317.37059
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
7
2011
A numerical study of the stabilization effect of steepness. Zbl 1270.70060
Todorović, 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 1291.70063
Lega, 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 1291.70062
Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude
4
2010
Chaos and diffusion in dynamical systems through stable-unstable manifolds. Zbl 1211.37098
Guzzo, Massimiliano
2
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
11
2009
A numerical study of Arnold diffusion in a priori unstable systems. Zbl 1185.37143
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
10
2009
Measure of the exponential splitting of the homoclinic tangle in four-dimensional symplectic mappings. Zbl 1165.70022
Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude
5
2009
Cantori of the dissipative sawtooth map. Zbl 1311.70029
Celletti, Alessandra; Guzzo, Massimiliano
2
2009
A PDE approach to finite time indicators in ergodic theory. Zbl 1197.37008
Bernardi, Olga; Cardin, Franco; Guzzo, Massimiliano; Zanelli, Lorenzo
1
2009
A new problem of adiabatic invariance related to the rigid body dynamics. Zbl 1342.70052
Benettin, Giancarlo; Guzzo, Massimiliano; Neishtadt, Anatoly
1
2008
Adiabatic chaos in the spin-orbit problem. Zbl 1342.70034
Benettin, Giancarlo; Guzzo, Massimiliano; Marini, Valerio
1
2008
Diffusion in Hamiltonian quasi-integrable systems. Zbl 1163.37020
Lega, Elena; Froeschlé, Claude; Guzzo, Massimiliano
9
2007
The experimental localization of Aubry-Mather sets using regularization techniques inspired by viscosity theory. Zbl 1163.37330
Guzzo, Massimiliano; Bernardi, Olga; Cardin, Franco
3
2007
The accelerated Kepler problem. Zbl 1162.70310
Namouni, F.; Guzzo, M.
2
2007
An overview on the Nekhoroshev theorem. Zbl 1157.85305
Guzzo, Massimiliano
1
2007
Analysis of the chaotic behaviour of orbits diffusing along the Arnold web. Zbl 1185.37141
Froeschlé, Claude; Lega, Elena; Guzzo, Massimiliano
15
2006
Diffusion and stability in perturbed non-convex integrable systems. Zbl 1100.37036
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
11
2006
Long term stability of proper rotations and local chaotic motions in the perturbed Euler rigid body. Zbl 1133.70310
Benettin, G.; Fassò, F.; Guzzo, M.
1
2006
First numerical evidence of global Arnold diffusion in quasi-integrable systems. Zbl 1081.37035
Guzzo, Massimiliano; Lega, Elena; Froeschlé, Claude
21
2005
Local and global diffusion along resonant lines in discrete quasi-integrable dynamical systems. Zbl 1083.37050
Froeschlé, Claude; Guzzo, Massimiliano; Lega, Elena
19
2005
A direct proof of the Nekhoroshev theorem for nearly integrable symplectic maps. Zbl 1162.70321
Guzzo, Massimiliano
9
2004
Long term stability of proper rotations of the perturbed Euler rigid body. Zbl 1087.70003
Benettin, Giancarlo; Fassò, Francesco; Guzzo, Massimiliano
5
2004
Detection of Arnold diffusion in Hamiltonian systems. Zbl 1027.37039
Lega, Elena; Guzzo, Massimiliano; Froeschlé, Claude
20
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
29
2002
Probing the Nekhoroshev stability of asteroids. Zbl 1045.70010
Guzzo, Massimiliano; Knežević, Zoran; Milani, Andrea
5
2002
A spectral formulation of the Nekhoroshev theorem and its relevance for numerical and experimental data analysis. Zbl 0990.37045
Guzzo, Massimilliano; Benettin, Giancarlo
4
2001
Nekhoroshev stability of quasi-integrable degenerate Hamiltonian systems. Zbl 1012.37044
Guzzo, M.
5
1999
Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems. Zbl 0928.37017
Fassò, Francesco; Guzzo, Massimiliano; Benettin, Giancarlo
20
1998
Nekhoroshev-stability of \(L4\) and \(L5\) in the spatial restricted three-body problem. Zbl 0934.70010
Benettin, G.; Fassò, F.; Guzzo, M.
16
1998
On the stability of elliptic equilibria. Zbl 0891.58021
Guzzo, M.; Fassò, F.; Benettin, G.
9
1998
The Nekhoroshev theorem and the asteroid belt dynamical system. Zbl 0891.70007
Morbidelli, Alessandro; Guzzo, Massimiliano
16
1997
Construction of a Nekhoroshev like result for the asteroid belt dynamical system. Zbl 0883.58032
Guzzo, Massimilliano; Morbidelli, Alessandro
10
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
8
1997
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

Citations by Year