Giancarlo Benettin
Giancarlo Benettin
Unknown affiliation
Verified email at math.unipd.it
TitleCited byYear
Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems; a method for computing all of them. Part 1: Theory
G Benettin, L Galgani, A Giorgilli, JM Strelcyn
Meccanica 15 (1), 9-20, 1980
20511980
Kolmogorov entropy and numerical experiments
G Benettin, L Galgani, JM Strelcyn
Physical Review A 14 (6), 2338, 1976
14911976
On the Hamiltonian interpolation of near-to-the identity symplectic mappings with application to symplectic integration algorithms
G Benettin, A Giorgilli
Journal of Statistical Physics 74 (5-6), 1117-1143, 1994
3131994
Numerical experiments on the free motion of a point mass moving in a plane convex region: Stochastic transition and entropy
G Benettin, JM Strelcyn
Physical review A 17 (2), 773, 1978
2151978
A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems
G Benettin, L Galgani, A Giorgilli
Celestial Mechanics 37 (1), 1-25, 1985
2101985
Stability of motions near resonances in quasi-integrable Hamiltonian systems
G Benettin, G Gallavotti
Journal of statistical physics 44 (3-4), 293-338, 1986
1741986
A proof of Kolmogorov’s theorem on invariant tori using canonical transformations defined by the Lie method
G Benettin, L Galgani, A Giorgilli, JM Strelcyn
Il Nuovo Cimento B (1971-1996) 79 (2), 201-223, 1984
1701984
Kolmogorov entropy of a dynamical system with an increasing number of degrees of freedom
G Benettin, C Froeschle, JP Scheidecker
Physical Review A 19 (6), 2454, 1979
1511979
Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. Part II
G Benettin, L Galgani, A Giorgilli
Communications in mathematical physics 121 (4), 557-601, 1989
1231989
Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. Part I
G Benettin, L Galgani, A Giorgilli
Communications in Mathematical Physics 113 (1), 87-103, 1987
1101987
Power-law behavior of Lyapunov exponents in some conservative dynamical systems
G Benettin
Physica D: Nonlinear Phenomena 13 (1-2), 211-220, 1984
901984
Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems
F Fassò, M Guzzo, G Benettin
Communications in mathematical physics 197 (2), 347-360, 1998
871998
Universal properties in conservative dynamical systems
G Benettin, C Cercignani, L Galgani, A Giorgilli
Lettere Al Nuovo Cimento (1971–1985) 28 (1), 1-4, 1980
821980
Nekhoroshev–stability of L4 and L5 in the spatial restricted three-body problem
G Benettin, F Fassò, M Guzzo
Regul. Chaotic Dyn 3 (3), 56-72, 1998
791998
Exponential law for the equipartition times among translational and vibrational degrees of freedom
G Benettin, L Galgani, A Giorgilli
Physics Letters A 120 (1), 23-27, 1987
771987
Tous les nombres caractéristiques de Lyapounov sont effectivement calculables
G Benettin, L Galgani, A Giorgilli, JM Strelcyn
CR Acad. Sci. Paris Sér. AB 286 (9), A431-A433, 1978
751978
On the reliability of numerical studies of stochasticity I: Existence of time averages
G Benettin, M Casartelli, L Galgani, A Giorgilli, JM Strelcyn
Il Nuovo Cimento B (1971-1996) 44 (1), 183-195, 1978
741978
Ordered and stochastic behavior in a two-dimensional Lennard-Jones system
G Benettin, A Tenenbaum
Physical Review A 28 (5), 3020, 1983
671983
Boltzmann's ultraviolet cutoff and Nekhoroshev's theorem on Arnold diffusion
G Benettin, L Galgani, A Giorgilli
Nature 311 (5985), 444, 1984
661984
A comment on the reliability of the Toda criterion for the existence of a stochastic transition
G Benettin, R Brambilla, L Galgani
Physica A: Statistical Mechanics and its Applications 87 (2), 381-390, 1977
651977
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Articles 1–20