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
2445 1980 Kolmogorov entropy and numerical experiments G Benettin, L Galgani, JM Strelcyn
Physical Review A 14 (6), 2338, 1976
1631 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
355 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
228 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
223 1978 Stability of motions near resonances in quasi-integrable Hamiltonian systems G Benettin, G Gallavotti
Journal of statistical physics 44 (3), 293-338, 1986
195 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
180 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
161 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
134 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
110 1987 Power-law behavior of Lyapunov exponents in some conservative dynamical systems G Benettin
Physica D: Nonlinear Phenomena 13 (1-2), 211-220, 1984
99 1984 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
92 2013 Nekhoroshev-stability of elliptic equilibria of Hamiltonian systems F Fassò, M Guzzo, G Benettin
Communications in mathematical physics 197 (2), 347-360, 1998
91 1998 Universal properties in conservative dynamical systems G Benettin, C Cercignani, L Galgani, A Giorgilli
Lettere al Nuovo Cimento 28 (1), 1-4, 1980
85 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
83 1998 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
80 2011 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
79 1987 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
78 1978 TOUS LES NOMBRES CARACTERISTIQUES DE LYAPOUNOV SONT EFFECTIVEMENT CALCULABLES. G Benettin, S JM
76 1978 Boltzmann's ultraviolet cutoff and Nekhoroshev's theorem on Arnold diffusion G Benettin, L Galgani, A Giorgilli
Nature 311 (5985), 444-446, 1984
69 1984