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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

1,298 39

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

Kolmogorov Entropy and Numerical Experiments

- G. Benettin, L. Galgani, J. Strelcyn
- Physics
- 1 December 1976

853 13

Stability of motions near resonances in quasi-integrable Hamiltonian systems

- G. Benettin, G. Gallavotti
- Mathematics
- 1 August 1986

Nekhoroshev's theorem on the stability of motions in quasi-integrable Hamiltonian systems is revisited. At variance with the proofs already available in the literature, we explicitly consider the… Expand

143 8- PDF

Numerical experiments on the free motion of a point mass moving in a plane convex region: Stochastic transition and entropy

- G. Benettin, J. Strelcyn
- Physics
- 1 February 1978

We numerically investigate the behavior of a simple dynamical system, a plane billiard which by a continuous deformation of the border passes from a completely integrable system to a well-defined… Expand

110 4

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

Nekhoroshev-Stability of Elliptic Equilibria of Hamiltonian Systems

- F. Fassò, M. Guzzo, G. Benettin
- Mathematics
- 1 October 1998

Abstract: We prove a conjecture by N.N. Nekhoroshev about the long-time stability of elliptic equilibria of Hamiltonian systems, without any Diophantine condition on the frequencies. Higher order… Expand

64 3

Kolmogorov entropy of a dynamical system with an increasing number of degrees of freedom

- G. Benettin, C. Froeschlé, J. Scheidecker
- Physics
- 1 June 1979

Lyapunov characteristic numbers are used to estimate numerically the Kolmogorov entropy of an isolated one-dimensional self-gravitating system consisting of $N$ plane parallel sheets with uniform… Expand

90 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