Antonio Giorgilli

Overview

Best Publications

• Lyapunov Characteristic Exponents for smooth dynamical systems and for hamiltonian systems; a method for computing all of them. Part 1: Theory

  Giancarlo Benettin;Luigi Galgani;Antonio Giorgilli;Jean-Marie Strelcyn

  2778
  Citations

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

  Giancarlo Benettin;Luigi Galgani;Antonio Giorgilli;Jean-Marie Strelcyn

  1330
  Citations

• On the Hamiltonian Interpolation of Near-to-the-Identity Symplectic Mappings with Application to Symplectic Integration Algorithms

  Giancarlo Benettin;Antonio Giorgilli

  388
  Citations

• Effective stability for a Hamiltonian system near an elliptic equilibrium point, with an application to the restricted three body problem

  Antonio Giorgilli;Amadeo Delshams;Ernest Fontich;Luigi Galgani

  288
  Citations

• A PROOF OF NEKHOROSHEV'S THEOREM FOR THE STABILITY TIMES IN NEARLY INTEGRABLE HAMILTONIAN SYSTEMS

  Giancarlo Benettin;Luigi Galgani;Antonio Giorgilli

  248
  Citations

• Superexponential stability of KAM tori

  Alessandro Morbidelli;Antonio Giorgilli

  213
  Citations

• A proof of Kolmogorov’s theorem on invariant tori using canonical transformations defined by the Lie method

  G. Benettin;L. Galgani;A. Giorgilli;J. M. Strelcyn

  196
  Citations

• On the number of isolating integrals in Hamiltonian systems

  George Contopoulos;Luigi Galgani;Antonio Giorgilli

  180
  Citations

• Formal Integrals for an Autonomous Hamiltonian System near an Equilibrium Point

  Antonio Giorgilli;Luigi Galgani

  145
  Citations

• On the stability of the lagrangian points in the spatial restricted problem of three bodies

  Alessandra Celletti;Antonio Giorgilli

  144
  Citations

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

  Giancarlo Benettin;Luigi Galgani;Antonio Giorgilli

  142
  Citations

• Rigorous estimates for the series expansions of Hamiltonian perturbation theory

  Antonio Giorgilli;Luigi Galgani

  130
  Citations

• On the stability of the Trojan asteroids.

  A. Giorgilli;C. Skokos

  121
  Citations

• On the problem of energy equipartition for large systems of the Fermi-Pasta-Ulam type: analytical and numerical estimates

  Luigi Galgani;Antonio Giorgilli;Andrea Martinoli;Stefano Vanzini

  117
  Citations

• Rigorous results on the power expansions for the integrals of a Hamiltonian system near an elliptic equilibrium point

  Antonio Giorgilli

  106
  Citations

• Localization of energy in FPU chains

  Luisa Berchialla;Luigi Galgani;Antonio Giorgilli

  94
  Citations

• Exponentially long times to equipartition in the thermodynamic limit

  Luisa Berchialla;Antonio Giorgilli;Simone Paleari

  92
  Citations

• A Nekhoroshev-Type Theorem for Hamiltonian Systems with Infinitely Many Degrees of Freedom

  Giancarlo Benettin;Jürg Fröhlich;Antonio Giorgilli

  89
  Citations

• Exponential stability of states close to resonance in infinite-dimensional Hamiltonian systems

  Dario Bambusi;Antonio Giorgilli

  87
  Citations

• On the reliability of numerical studies of stochasticity I: Existence of time averages

  G. Benettin;M. Casartelli;L. Galgani;A. Giorgilli

  82
  Citations