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 | 2267 | 1980 |
Kolmogorov entropy and numerical experiments G Benettin, L Galgani, JM Strelcyn Physical Review A 14 (6), 2338, 1976 | 1581 | 1976 |
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), 1117-1143, 1994 | 336 | 1994 |
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 | 223 | 1985 |
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 | 210 | 1978 |
Stability of motions near resonances in quasi-integrable Hamiltonian systems G Benettin, G Gallavotti Journal of statistical physics 44 (3), 293-338, 1986 | 185 | 1986 |
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 | 175 | 1984 |
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 | 153 | 1979 |
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 | 132 | 1989 |
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 | 111 | 1987 |
Power-law behavior of Lyapunov exponents in some conservative dynamical systems G Benettin Physica D: Nonlinear Phenomena 13 (1-2), 211-220, 1984 | 92 | 1984 |
Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems F Fassò, M Guzzo, G Benettin Communications in mathematical physics 197 (2), 347-360, 1998 | 90 | 1998 |
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 | 82 | 1980 |
Nekhoroshev-stability of and in the spatial restricted three-body problem G Benettin, F Fassò, M Guzzo Regular and chaotic dynamics 3 (3), 56-72, 1998 | 81 | 1998 |
The Fermi-Pasta-Ulam problem and its underlying integrable dynamics G Benettin, H Christodoulidi, A Ponno Journal of Statistical Physics 152 (2), 195-212, 2013 | 80 | 2013 |
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 | 78 | 1987 |
Time-scales to equipartition in the Fermi–Pasta–Ulam problem: finite-size effects and thermodynamic limit G Benettin, A Ponno Journal of Statistical Physics 144 (4), 793-812, 2011 | 73 | 2011 |
TOUS LES NOMBRES CARACTERISTIQUES DE LYAPOUNOV SONT EFFECTIVEMENT CALCULABLES. G Benettin, S JM | 73 | 1978 |
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 | 72 | 1978 |
Boltzmann's ultraviolet cutoff and Nekhoroshev's theorem on Arnold diffusion G Benettin, L Galgani, A Giorgilli Nature 311 (5985), 444-446, 1984 | 70 | 1984 |