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Publications Influence

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, J. Strelcyn
- Mathematics
- 1 March 1980

SommarioDa diversi anni gli esponenti caratteristici di Lyapunov sono divenuti di notevole interesse nello studio dei sistemi dinamici al fine di caratterizzare quantitativamente le proprietà di… Expand

1,295 41

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

- G. Benettin, L. Galgani, A. Giorgilli, J. Strelcyn
- Mathematics
- 1 March 1980

SommarioQuesto articolo, insieme con il precedente (Parte 1: Teoria, pubblicato in questa stessa rivista) è inteso a fornire un metodo esplicito per il calcolo di tutti gli esponenti caratteristici… Expand

715 18

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

- G. Benettin, A. Giorgilli
- Mathematics
- 1 March 1994

We reconsider the problem of the Hamiltonian interpolation of symplectic mappings. Following Moser's scheme, we prove that for any mapping ψε, analytic and ε-close to the identity, there exists an… Expand

268 17

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
- Mathematics
- 1989

Abstract We consider an n -degrees of freedom Hamiltonian system near an elliptic equilibrium point. The system is put in normal form (up to an arbitrary order and with respect to some resonance… Expand

190 12- PDF

Superexponential stability of KAM tori

- A. Morbidelli, A. Giorgilli
- Mathematics
- 1 March 1995

We study the dynamics in the neighborhood of an invariant torus of a nearly integrable system. We provide an upper bound to the diffusion speed, which turns out to be of superexponentially small size… Expand

131 6- PDF

Notes on exponential stability of Hamiltonian systems

- A. Giorgilli
- Physics
- 2003

57 6

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
- Mathematics
- 1 March 1987

The so-called problem of the realization of the holonomic constraints of classical mechanics is here revisited, in the light of Nekhoroshev-like classical perturbation theory. Precisely, if… Expand

49 4

Exponentially long times to equipartition in the thermodynamic limit

- Luisa Berchialla, A. Giorgilli, S. Paleari
- Physics
- 2 February 2004

Abstract We investigate with numerical methods the scaling of the relaxation time to equipartition in the celebrated Fermi–Pasta–Ulam model. Our numerical results strongly suggest that the time… Expand

65 3

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

- G. Benettin, L. Galgani, A. Giorgilli
- Mathematics
- 1 September 1985

In the present paper we give a proof of Nekhoroshev's theorem, which is concerned with an exponential estimate for the stability times in nearly integrable Hamiltonian systems. At variance with the… Expand

153 3

Formal integrals for an autonomous Hamiltonian system near an equilibrium point

- A. Giorgilli, L. Galgani
- Mathematics
- 1 April 1978

In this paper we give a new method to construct formal integrals for an autonomous Hamiltonian system near an equilibrium point. Our construction is reminiscent of the algorithms introduced by Hori… Expand

102 3