Author pages are created from data sourced from our academic publisher partnerships and public sources.

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

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

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

Localization of energy in FPU chains

- Luisa Berchialla, L. Galgani, A. Giorgilli
- Physics
- 1 September 2004

We revisit the celebrated model of Fermi, Pasta and Ulam
with the aim of investigating, by numerical computations, the trend
towards equipartition in the thermodynamic limit. We concentrate our … Expand

56 2- PDF

On the number of isolating integrals in Hamiltonian systems

- G. Contopoulos, L. Galgani, A. Giorgilli
- Physics
- 1 September 1978

In a Hamiltonian system of three degrees of freedom we have found a large stochastic region (the "big sea"), some other stochastic regions, apparently separated from the above ("small seas"), and… Expand

92 2

Realization of holonomic constraints and freezing of high frequency degrees of freedom in the light of classical perturbation theory. Part II

As in Part I of this paper, we consider the problem of the energy exchanges between two subsystems, of which one is a system of ν harmonic oscillators, while the other one is any dynamical system ofn… Expand

85 2- PDF

Rigorous estimates for the series expansions of Hamiltonian perturbation theory

- A. Giorgilli, L. Galgani
- Mathematics
- 1 October 1985

In the present paper we prove a theorem giving rigorous estimates in the problem of bringing to normal form a nearly integrable Hamiltonian system, using methods of classical perturbation theory,… Expand

83 2

On the reliability of numerical studies of stochasticity

- G. Benettin, M. Casartelli, L. Galgani, A. Giorgilli, J. Strelcyn
- Physics, Mathematics
- 1 April 1979

SummaryIn the numerical study of classical dynamical systems presenting stochastic behaviour one frequently makes use, in an explicit or an implicit way, of the Birkhoff ergodic theorem. The correct… Expand

24 2