List of publications:
 
 
 

  • Liu X., Guzzo M.: "On the limits of application of mean motion resonant normal forms of the three-body problem for crossing orbits and close encounters", Celest. Mech. Dyn. Astron., art. 1, 2025.
  • Guzzo M.: "Parametric approximations of fast close encounters of the planar three-body problem as arcs of a focus-focus dynamics", Nonlinearity, 37, 105011, 2024.
  • Rossi M., Guzzo M.: "A Kustaanheimo-Stiefel regularization of the elliptic restricted three-body problem and the detection of close encounters with fast Lyapunov indicators", Physica D, 2024.
  • Guzzo M., Lega E.: "Theory and applications of fast Lyapunov indicators to model problems of celestial mechanics", Celest. Mech. Dyn. Astron., Vol. 135, Article number: 37, 2023.
  • Scantamburlo E., Guzzo M. and Paez R.I.: "Interplanetary transfers using stable and unstable manifold tubes originating at L1 and L2 in the elliptic restricted three-body problems ", Acta Astronautica, 200, 97-110, 2022.
  • Paez R.I. and Guzzo M.: "On the semi-analytical construction of halo orbits and halo tubes in the elliptic restricted three-body problem", Physica D, 439, 133402, 2022.
  • Paez R.I. and Guzzo M.: "Transits close to the Lagrangian solutions L1, L2 in the elliptic restricted three-body problem", Nonlinearity, vol 34, 6417-6449, 2021.
  • Cardin F. and Guzzo M.: "Integrability of close encounters in the spatial restricted three-body problem", Communications in Contemporary Mathematics, 2021, https://doi.org/10.1142/S0219199721500401
  • Scantamburlo E. and Guzzo M.: "Short-period effects of the planetary perturbations on the Sun-Earth Lagrangian point L3", Astronomy & Astrophysics, 638, A137, 2020.
  • Paez R. and Guzzo M.: "A study of temporary captures and collisions in the Circular Restricted Three-Body Problem with normalizations of the Levi-Civita Hamiltonian", I. J. Nonl. Mech., Vol. 120, 103417, 2020.
  • Guzzo M., Efthymiopoulos C. and Paez R.: "Semi-analytic computations of the speed of Arnold diffusion along single resonances in a priori stable Hamiltonian systems". Journal of Nonlinear Science, Vol. 30, 851-9010, 2020. Final authenticated version is available online at: http://dx.doi.org/10.1007/s00332-019-09594-9
  • Cardin F. and Guzzo M.: "Integrability of the spatial three-body problem near collisions (an announcement)". Rend. Lincei Mat. Appl. 30 (2019), 195-204.
  • Chierchia L., Faraggiana M.A. and Guzzo M.: "On Steepness of 3-jet non degenerate functions", Annali di Matematica Pura ed Applicata, 198, issue 6, 2151-2165, 2019.
  • Guzzo M. and Lega E.: "Geometric chaos indicators and computations of the spherical hypertube manifolds of the spatial circular restricted three-body problem", Physica D, vol. 373, 35-58, 2018.
  • Guzzo M. and Lega E.: "The past dynamics of comet 67P/Churyumov-Gerasimenko", in the proceedings of the conference From Giotto To Rosetta, 30 years of cometary science from space and ground, C. Barbieri and C.G. Someda editors, 2017.
  • Guzzo M., Lega E.: "Computation of transit orbits in the three-body-problem by Fast Lyapunov Indicators", Proc. of the XVII NCAS Belgrade, Publications of the Astronomical Observatory of Belgrade, vol. 96, 71-78, 2017.
  • Guzzo M. and Lega E.: "Scenarios for the dynamics of comet 67P/Churyumov-Gerasimenko over the past 500 kyr", Monthly Notices of the Royal Astronomical Society, Volume 469, Issue Suppl_2, 21 , 2017.
  • Guzzo M. and Lega E.: "The Nekhoroshev Theorem and the Observation of Long-term Diffusion in Hamiltonian Systems", Regular and Chaotic Dynamics, Vol. 21, No. 6, pp. 707-719, 2016.
  • Lega E. and Guzzo M.: "Three-dimensional representations of the tube manifolds of the planar restricted three-body problem", Physica D, 352:41-52, 2016.
  • Guzzo M., Chierchia L. and Benettin G.: "The steep Nekhoroshev's Theorem", Communications in Mathematical Physics, Volume 342, Issue 2, pp 569-601, 2016.
  • Lega E. and Guzzo M.: "Theory and Applications of the Fast Lyapunov Indicator (FLI) Method", chapter in: Chaos Detection and Predictability, pp.35-54, 2016.
  • Guzzo M. and Lega E.: "A study of the past dynamics of comet 67P/Churyumov-Gerasimenko with Fast Lyapunov Indicators", Astronomy & Astrophysics, vol. 579, A79, 1-7, 2015.
  • Guzzo M.: "The Nekhoroshev theorem and long-term stabilities in the Solar System", Serbian Astronomical Journal, pp. 1-10, n. 190, 2015.
  • Schirinzi G. and Guzzo M.: "Numerical verification of the steepness of three and four degrees of freedom Hamiltonian systems", Regular and Chaotic Dynamics, vol. 20, No. 1, pp. 1-18, 2015.
  • Guzzo M. and Lega E.: "Evolution of the tangent vectors and localization of the stable and unstable manifolds of hyperbolic orbits by Fast Lyapunov Indicators", SIAM J. Appl. Math., vol. 74, n. 4, pages 1058-1086, 2014.
  • Guzzo M., Chierchia L. and Benettin G.: "The steep Nekhoroshev's Theorem and optimal stability exponents (an announcement)", Rendiconti Lincei-Matematica e Applicazioni, Volume 25, Issue 3, pp. 293-299, 2014.
  • Schirinzi G. and Guzzo M.: "On the formulation of new explicit conditions for steepness from a former result of N.N. Nekhoroshev." JOURNAL OF MATHEMATICAL PHYSICS 54, 072702, 2013.
  • Guzzo M. and Lega E.: "The numerical detection of the Arnold web and its use for long-term diffusion studies in conservative and weakly dissipative systems", Chaos, vol. 23, 023124, 2013.
  • Guzzo M. and Lega E.: "On the identification of multiple close-encounters in the planar circular restricted three body problem." Monthly Notices of the Royal Astronomical Society, 428, 2688-2694, 2013.
  • Bernardi O., Cardin F. and Guzzo M.: New Estimates for Evans' Variational Weak KAM Approach, Communications in Contemporary Mathematics, 15, 1250055, 2013.
  • Bernardi O., Cardin F. and Guzzo M.: Convergence to the time average by stochastic regularization, Journal of Nonlinear Mathematical Physics, vol. 20, n. 1, 9-27, 2013.
  • Benettin G., Fasso' F. and Guzzo M.: "Il corpo rigido in rapida rotazione", in "Complementi alle Lezioni di Meccanica Razionale di T. Levi Civita e U. Amaldi (VOL.3)", Edizioni CompoMat, 281-299, 2012.
  • Lega E., Guzzo M. and Froeschlé C.: "Close encounters and resonances detection in three body problems through Levi-Civita regularization". Monthly Notices of the Royal Astronomical Society, 2011.
  • Todorović N., Guzzo M., Lega E. and Froeschlé C.: "A numerical study of the stabilization effect of steepness". Celestial Mechanics and Dynamical Astronomy, 2011.
  • Guzzo M., Lega E. and Froeschlé C.: "First numerical investigation of a conjecture by N.N. Nekhoroshev about stability in quasi-integrable systems". Chaos, vol. 21, Issue 3, 2011.
  • Guzzo M.: "Mechanisms for the Production of Chaos in Dynamical Systems." In: Extra-Solar Planets The Detection, Formation, Evolution and Dynamics of Planetary Systems, edited by B. Steves, M. Hendry, A. C. Cameron, 2010.
  • Guzzo M.: "Chaos and Diffusion in Dynamical Systems Through Stable-Unstable Manifolds." Space Manifolds Dynamics. p. 97-112, Springer, 2010.
  • Lega E., Guzzo M. and Froeschlé C.: "Numerical studies of hyperbolic manifolds supporting diffusion in symplectic mappings." THE EUROPEAN PHYSICAL JOURNAL. SPECIAL TOPICS, vol. 186; p. 3-31, 2010.
  • Lega E., Guzzo M. and Froeschlé C.: "A numerical study of the hyperbolic manifolds in a priori unstable systems. A comparison with Melnikov approximations." CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, vol. 107; p. 115-127, 2010.
  • Lega E., Guzzo M. and Froeschlé C.: "A numerical study of the size of the homoclinic tangle of hyperbolic tori and its correlation with Arnold diffusion in Hamiltonian Systems." CELESTIAL MECHANICS & DYNAMICAL ASTRONOMY, vol. 107; p. 129-144, 2010.
  • Guzzo M., Lega E. and Froeschlé C.: "A numerical study of the topology of normally hyperbolic invariant manifolds supporting Arnold diffusion in quasi-integrable systems." PHYSICA D-NONLINEAR PHENOMENA, vol. 238; p. 1797-1807, 2009.
  • Guzzo M., Lega E. and Froeschlé C.: "A numerical study of Arnold diffusion in a priori unstable systems." COMMUNICATIONS IN MATHEMATICAL PHYSICS, vol. 290; p. 557-576, 2009.
  • Celletti A. and Guzzo M.: "Cantori of the dissipative sawtooth map." Chaos, vol. 19, 2009.
  • Lega E., Guzzo M. and Froeschlé C.: "Measure of the exponential splitting of the homoclinic tangle in four dimensional symplectic mappings." Celestial Mechanics and Dynamical Astronomy, Vol. 104, 1-2, 2009.
  • Bernardi O., Cardin F., Guzzo M. and Zanelli L.: "A PDE approach to finite time indicators in Ergodic Theory". JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, vol. 16; p. 195-206, 2009.
  • Namouni F., Guzzo M. and Lega E.: "On the integrability of stellar motion in an accelerated logarithmic potential". Astronomy and Astrophysics, Volume 489, Issue 3, pp.1363-1367, 2008.
  • Benettin G., Guzzo M. and Marini V.: "Adiabatic chaos in the spin-orbit problem". Celestial Mechanics and Dynamical Astronomy, Vol. 101, n 1-2, 203-224, 2008.
  • Benettin G., Guzzo M. and Neishtadt A.: "A new problem of adiabatic invariance related to the rigid body dynamics". Discrete and Continous Dynamical Systems A, Volume 21, n 3, 959-975, 2008.
  • Pavlovic R. and Guzzo M.: "Fullfilment of the conditions for the application of the Nekhoroshev theorem to the Koronis and Veritas asteroid families". Monthly Notices of the Royal Astronomical Society, Volume 384, 1575-1582, 2008.
  • Guzzo M.: ``An overflight on the Nekhoroshev theorem.'' In Lecture Notes in Physics, vol. 729, ``Topics in gravitational dynamics'', Benest, Froeschlé, Lega eds., Springer, 2007.
  • Lega E., Froeschlé C. and Guzzo M.: ``Diffusion in Hamiltonian quasi-integrable systems.'' In Lecture Notes in Physics, vol. 729, ``Topics in gravitational dynamics'', Benest, Froeschlé, Lega eds., Springer, 2007.
  • Guzzo M., Bernardi O. and Cardin F.: "The experimental localization of Aubry-Mather sets using regularization techniques inspired by viscosity theory". Chaos, vol. 17, n. 3, 2007.
  • Namouni F. and Guzzo M.: "The accelerated Kepler problem". Celestial Mechanics and Dynamical Astronomy, vol 99, n. 1, 31-44, 2007.
  • Guzzo M., Lega E. and Froeschlé C.:"Diffusion and stability in perturbed non convex integrable systems". Nonlinearity, Vol. 19, 5, 1049-1067, 2006.
  • Guzzo M.:" Fourier analysis of chaotic motions and applications to Celestial Mechanics", in "Chaotic Worlds: From Order to Disorder in Gravitational N-Body Dynamical Systems", Nato Science series II-Vol. 227. Edited by B.A. steves, A.J. Maciejewski and M. Hendry, 2006.
  • Froeschlé C., Lega E. and Guzzo M.: " Analysis of the Chaotic Behaviour of Orbits Diffusing along the Arnold Web". Celestial Mechanics and Dynamical Astronomy, Vol. 95, 1-4, 141-153, 2006.
  • Guzzo M.::"The web of three-planet resonances in the outer solar system II: a source of orbital instability for Uranus and Neptune". Icarus, vol. 181, 475-485, 2006.
  • Benettin G., Fasso' F. and Guzzo M.:: " Long term stability of proper rotations and local chaotic motions in the perturbed Euler rigid body ". Regular and Chaotic Dynamics, vol. 11, 1-17, 2006.
  • Froeschlé C., Guzzo M. and Lega E.:''Local and global diffusion along resonant lines in discrete quasi--integrable dynamical systems", Celestial Mechanics and Dynamical Astronomy, vol. 92, n. 1-3, 243-255, 2005.
  • Guzzo M., Lega E. and Froschle' C.:''First Numerical Evidence of Arnold diffusion in quasi--integrable systems". DCDS B, vol. 5, n. 3, 2005.
  • Guzzo M.:" The web of three--planets resonances in the outer Solar System". Icarus, vol. 174, n. 1., pag. 273-284, 2005.
  • Guzzo M.:" A direct proof of the Nekhoroshev theorem for nearly integrable symplectic maps". Annales Henri Poincare', vol. 5, n. 6, 1013-1039, 2004.
  • Benettin G., Fasso' F. and Guzzo M.:" Long-term stability of proper rotations of the Euler perturbed rigid body". Commun. Math. Phys. 250, 133-160, 2004.
  • Guzzo M.:`` Fourier analysis of chaotic solutions of quasi--integrable systems'', in ``Hamiltonian Systems and Fourier Analysis: New Prospects For Gravitational Dynamics'', Benest et al. editors, Cambridge Scientific Publishers Ltd, 2004.
  • Lega E., Guzzo M. and Froeschlé C. :" Detection of Arnold diffusion in Hamiltonian systems''.  Physica D, vol. 182, p. 179--187, 2003.
  • Guzzo M. :" Nekhoroshev stability of asteroids'', in the triennal report 2000-2003 of Commission 7-Celestial Mechanics and dynamical Astronomy of the IAU; Reports on Astronomy, 1999-2002. Transactions of the International Astronomical Union, Vol. XXVA, 2003.
  • Guzzo M.:" Long-Term Stability Analysis of Quasi Integrable Degenerate Systems Through the Spectral Formulation of the Nekhoroshev Theorem ''.  Celest. Mech. Dyn. Astr., Volume 83, Issues 1-4, 2002.
  • Guzzo M., Knezevic Z. and Milani A.:" Probing the Nekhoroshev Stability of Asteroids ''.  Celest. Mech. Dyn. Astr., Volume 83, Issues 1-4, 2002.
  • Guzzo M.,  Lega E. and Froeschlé C. :"On the numerical detection of the effective stability of chaotic motions in quasi-integrable systems ''.  Physica D, Volume 163, Issues 1-2, 1-25, 2002.
  • Guzzo M. :``Improved Leap-Frog Symplectic Integrators for Orbits of Small Eccentricity in the Perturbed Kepler Problem''. Celestial Mechanics and Dynamical Astronomy, Volume 80, n. 1,  63-80, 2001.
  • Froeschlé C., Guzzo M. and Lega E. :``The Fast Lyapunov Indicator: detection of the Arnold web for Hamiltonian systems and symplectic mappings with 3 degrees of freedom''. In SSUP Proceedings: The Restless Universe. Application of gravitational N-body dynamics to planetary, stellar and galactic systems. Editors  B. A. Steves and A. J. Maciejewsky, 2001.
  • Guzzo M. and Benettin G. :``A spectral formulation of the Nekhoroshev theorem and its relevance for numerical  and experimental data anlysis''. Discrete and Continous Dynamical Systems-Series B, Volume 1, n. 1, 2001.
  • Froeschlé C., Guzzo M. and Lega E. :``Graphical Evolution of the Arnold Web: From Order to Chaos''. Science, Volume 289, n. 5487, 2000.
  • Guzzo M.:``Nekhoroshev stability of quasi--integrable degenerate Hamiltonian systems''. Regular and chaotic dynamics, Volume 4, n. 2, 1999.
  • Benettin G., Fasso' F. and Guzzo M.:``Nekhoroshev-stability of L4 and L5 in the spatial restricted three--body problem'', Regular and chaotic dynamics, Volume 3, n. 3, 1998.
  • Guzzo M., Fasso' F. and Benettin G.:``On The Stability of Elliptic Equilibria'', Mathematical  Physics Electronic Journal, Volume 4, 1998;
  • Fasso' F., Guzzo M. and Benettin G.: ``Nekhoroshev-Stability of Elliptic Equilibria in Hamiltonian Systems'', Communications in Mathematical Physics; Volume 197: 347-360, 1998;
  • Guzzo M. and Morbidelli A.:``Construction of a Nekhoroshev--like result for the asteroid belt dynamical system'', Celestial Mechanics and Dynamical Astronomy Volume 66: 255-292, 1997;
  • Morbidelli A. and Guzzo M.:``The Nekhoroshev thorem and the asteroid belt dynamical system'', Celestial Mechanics and Dynamical Astronomy Volume 65: 107-136, 1997;
  • Benettin G., Fasso' F. and Guzzo M.:``Fast rotations of the rigid body: a study by Hamiltonian Perturbation Theory. Part II: Gyroscopic rotations'', Nonlinearity Volume 10: 1695-1717, 1997;

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