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Giancarlo Benettin

Giancarlo Benettin

D-Index & Metrics

Mathematics

D-Index
33
Citations
9378
World Ranking
2980
National Ranking
102

Overview

Giancarlo Benettin is a researcher affiliated with the University of Padua in Italy. Their work primarily spans the field of Physics and Astronomy, with a focus on several subfields, including Statistical and Nonlinear Physics, Atomic and Molecular Physics and Optics, Mathematical Physics, and Nuclear and High Energy Physics.

The main topics addressed in Benettin's research encompass Nonlinear Photonic Systems, Nonlinear Waves and Solitons, Cold Atom Physics and Bose-Einstein Condensates, Advanced Mathematical Physics Problems, Quantum Many-Body Systems, Black Holes and Theoretical Physics, and Quantum Mechanics and Non-Hermitian Physics.

Benettin has authored multiple recent papers, reflecting a consistent research output across multiple venues. Notable publications include:

  • "Understanding the FPU state in FPU-like models," 2020, published in Mathematics in Engineering
  • "On the Role of the Integrable Toda Model in One-Dimensional Molecular Dynamics," 2023, published in Journal of Statistical Physics
  • "On the role of the Integrable Toda model in one-dimensional molecular dynamics," 2023, published in arXiv (Cornell University)

The researcher collaborates frequently with several coauthors, notably Antonio Ponno, with whom they have worked on four publications, and Giuseppe Orsatti, with two collaborative works.

In terms of publication venues, Benettin's work has appeared in journals and platforms including Mathematics in Engineering, Journal of Statistical Physics, and arXiv (Cornell University).

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

  • Kolmogorov entropy and numerical experiments

    Giancarlo Benettin;Luigi Galgani;Jean-Marie Strelcyn

  • 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

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

    Giancarlo Benettin;Antonio Giorgilli

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

    Giancarlo Benettin;Luigi Galgani;Antonio Giorgilli

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

    G. Benettin;J. M. Strelcyn

  • Stability of Motions near Resonances in Quasi-Integrable Hamiltonian Systems

    Giancarlo Benettin;Giovanni Gallavotti

  • 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

  • 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

  • The Fermi-Pasta-Ulam Problem and Its Underlying Integrable Dynamics

    G. Benettin;Helen Christodoulidi;Helen Christodoulidi;A. Ponno

  • Time-Scales to Equipartition in the Fermi–Pasta–Ulam Problem: Finite-Size Effects and Thermodynamic Limit

    G. Benettin;A. Ponno

  • Power-law behavior of Lyapunov exponents in some conservative dynamical systems

    Giancarlo Benettin

  • Nekhoroshev-Stability of Elliptic Equilibria of Hamiltonian Systems

    Francesco Fassò;Massimiliano Guzzo;Giancarlo Benettin

  • The Fermi-Pasta-Ulam Problem: Scaling Laws vs. Initial Conditions

    Giancarlo Benettin;R Livi;Antonio Ponno

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

    Giancarlo Benettin;Jürg Fröhlich;Antonio Giorgilli

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

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

  • Exponential law for the equipartition times among translational and vibrational degrees of freedom

    Giancarlo Benettin;Luigi Galgani;Antonio Giorgilli

  • Boltzmann's ultraviolet cutoff and Nekhoroshev's theorem on Arnold diffusion

    Giancarlo Benettin;Luigi Galgani;Antonio Giorgilli

  • The Fermi—Pasta—Ulam Problem and the Metastability Perspective

    G. Benettin;A. Carati;L. Galgani;A. Giorgilli

  • A comment on the reliability of the Toda criterion for the existence of a stochastic transition

    G. Benettin;R. Brambilla;L. Galgani

  • Stochastic transition in two-dimensional Lennard-Jones systems

    Giancarlo Benettin;Guido Lo Vecchio;Alexander Tenenbaum

Frequent Co-Authors

Antonio Giorgilli
Antonio Giorgilli University of Milan
Giovanni Gallavotti
Giovanni Gallavotti National Institute for Nuclear Physics

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