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 | 2770 | 1980 |
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, 1117-1143, 1994 | 383 | 1994 |
Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem A Giorgilli, A Delshams, E Fontich, L Galgani, C Simó Journal of differential equations 77 (1), 167-198, 1989 | 289 | 1989 |
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 | 243 | 1985 |
Superexponential stability of KAM tori A Morbidelli, A Giorgilli Journal of statistical physics 78, 1607-1617, 1995 | 201 | 1995 |
Proof of Kolmogorov's theorem on invariant tori using canonical transformations defined by the Lie method G Benettin, L Galgani, A Giorgilli, JM Strelcyn Nuovo Cimento B;(Italy) 79 (2), 1984 | 196 | 1984 |
On the number of isolating integrals in Hamiltonian systems G Contopoulos, L Galgani, A Giorgilli Physical Review A 18 (3), 1183, 1978 | 182 | 1978 |
Lyapunov characteristic exponents for smooth dynamical systems and for Hamiltonian systems: A method for computing all of them G Bennetin, L Galgani, A Giorgilli, JM Strelcyn Meccanica 15 (9), 27, 1980 | 152 | 1980 |
Formal integrals for an autonomous Hamiltonian system near an equilibrium point A Giorgilli, L Galgani Celestial Mechanics 17 (3), 267-280, 1978 | 141 | 1978 |
On the stability of the Lagrangian points in the spatial restricted problem of three bodies A Celletti, A Giorgilli Celestial Mechanics and Dynamical Astronomy 50, 31-58, 1990 | 136 | 1990 |
On the stability of the Trojan asteroids. A Giorgilli, C Skokos Astronomy and Astrophysics, v. 317, p. 254-261 317, 254-261, 1997 | 130 | 1997 |
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, 557-601, 1989 | 130 | 1989 |
Rigorous estimates for the series expansions of Hamiltonian perturbation theory A Giorgilli, L Galgani Celestial mechanics 37, 95-112, 1985 | 128 | 1985 |
On the problem of energy equipartition for large systems of the Fermi-Pasta-Ulam type: analytical and numerical estimates L Galgani, A Giorgilli, A Martinoli, S Vanzini Physica D: Nonlinear Phenomena 59 (4), 334-348, 1992 | 116 | 1992 |
Rigorous results on the power expansions for the integrals of a Hamiltonian system near an elliptic equilibrium point A Giorgilli Annales de l'IHP Physique théorique 48 (4), 423-439, 1988 | 106 | 1988 |
Notes on exponential stability of Hamiltonian systems A Giorgilli Dynamical systems. Part I: Hamiltonian systems and celestial mechanics, 87-198, 2003 | 101 | 2003 |
TOUS LES NOMBRES CARACTERISTIQUES DE LYAPOUNOV SONT EFFECTIVEMENT CALCULABLES. G Benettin, L Galgani, A Giorgilli, S JM | 99* | 1978 |
Exponentially long times to equipartition in the thermodynamic limit L Berchialla, A Giorgilli, S Paleari Physics letters A 321 (3), 167-172, 2004 | 88 | 2004 |
Universal properties in conservative dynamical systems G Benettin, C Cercignani, L Galgani, A Giorgilli Lettere al Nuovo Cimento 28 (1), 1-4, 1980 | 87 | 1980 |
Localization of energy in FPU chains L Berchialla, L Galgani, A Giorgilli Discrete and Continuous Dynamical Systems 11 (4), 855-866, 2004 | 86 | 2004 |