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Antonio Giorgilli
Researcher at University of Milan
Publications - 128
Citations - 6583
Antonio Giorgilli is an academic researcher from University of Milan. The author has contributed to research in topics: Hamiltonian system & Kolmogorov–Arnold–Moser theorem. The author has an hindex of 36, co-authored 126 publications receiving 6148 citations. Previous affiliations of Antonio Giorgilli include University of Milano-Bicocca.
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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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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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On the Hamiltonian Interpolation of Near-to-the-Identity Symplectic Mappings with Application to Symplectic Integration Algorithms
TL;DR: In this article, it was shown that for any mapping ψe, analytic and e-close to the identity, there exists an analytic autonomous Hamiltonian system, He such that its time-one mapping ΦHe differs from ψ e by a quantity exponentially small in 1/e. This result is applied to the problem of numerical integration of Hamiltonian systems by symplectic algorithms.
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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.