L
Luigi Galgani
Researcher at University of Milan
Publications - 140
Citations - 6216
Luigi Galgani is an academic researcher from University of Milan. The author has contributed to research in topics: Statistical mechanics & Hamiltonian system. The author has an hindex of 29, co-authored 140 publications receiving 5861 citations.
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Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory
TL;DR: In this paper, a method for computing all of the Lyapunov characteristic exponents of order greater than one is presented, which is related to the increase of volumes of a dynamical system.
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Kolmogorov entropy and numerical experiments
TL;DR: In this paper, a numerical study of the Kolmogorov entropy for the H\'enon-Heiles model is presented, based on mathematical results of Oseledec and Piesin.
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Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; A method for computing all of them. Part 2: Numerical application
TL;DR: In this article, the authors give an explicit method for computing all Lyapunov Characteristic Exponents of a dynamical system, together with some numerical examples for mappings on manifolds and for Hamiltonian systems.
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Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem
TL;DR: In this paper, an n -degrees of freedom Hamiltonian system near an elliptic equilibrium point is considered, and the system is put in normal form (up to an arbitrary order and with respect to some resonance module) and estimates are obtained for both the size of the remainder and for the domain of convergence of the transformation leading to normal form.
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A proof of nekhoroshev's theorem for the stability times in nearly integrable hamiltonian systems
TL;DR: In this article, the authors give a proof of Nekhoroshev's theorem, which is concerned with an exponential estimate for the stability times in nearly integrable Hamiltonian systems.