Antonio Giorgilli

Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory

Giancarlo Benettin, L. Galgani, Antonio Giorgilli et al. · Meccanica · 1980 · 1.8K citations

Hamiltonian Theory, Deterministic Dynamical System, Hamiltonian Systems +6

Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application

Giancarlo Benettin, L. Galgani, Antonio Giorgilli et al. · Meccanica · 1980 · 978 citations

Hamiltonian Theory, Hamiltonian Systems, Lyapunov Characteristic Exponents +5

On the Hamiltonian interpolation of near-to-the identity symplectic mappings with application to symplectic integration algorithms

Giancarlo Benettin, Antonio Giorgilli · Journal of Statistical Physics · 1994 · 284 citations

Hamiltonian Theory, Symplectic Integration Algorithms, Engineering +7

Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem

Antonio Giorgilli, Amadeu Delshams, Ernest Fontich et al. · Journal of Differential Equations · 1989 · 213 citations

Hamiltonian Theory, Elliptic Equation, Effective Stability +5

A proof of Nekhoroshev's theorem for the stability times in nearly integrable Hamiltonian systems

Giancarlo Benettin, L. Galgani, Antonio Giorgilli · Celestial Mechanics and Dynamical Astronomy · 1985 · 181 citations

Spectral Theory, Integrable Hamiltonian Systems, Hamiltonian Theory +6