Research interests:
Nonlinear Analysis and Dynamical Systems Theory, mainly applied to models coming from Celestial Mechanics
Study of billiards with non-constant potentials
Long-term stability for Hamiltonian systems, using normal forms, Nekhoroshev an KAM theories
ORCID Number: 0000-0003-0044-5133
ArXiv webpage: Irene De Blasi
Preprints
2) Dynamics of resonances and uncertainty of parameters in a ring‑like system, A. Celletti, I. D.B., S. Di Ruzza, 2026
1) On the Birkhoff conjecture for Kepler billiards, S. Baranzini, V. Barutello, I. D.B. S. Terracini, 2025
Publications
15) Bifurcation of resonances in a ring model, A. Celletti, I. D.B., S. Di Ruzza, Ricerche di Matematica, 2026
14) Chaotic Boltzmann Billiard Systems at positive energy, I. D.B., A. Takeuchi, S. Terracini, to appear in Annales de l'Institut Henry Poincaré C, 2026
13) La dinamica degli anelli nel sistema solare, A. Celletti, I. D.B., S. Di Ruzza, to appear in Matematica, Cultura e Società, 2025
12) Stability and bifurcations of resonances in ring’s dynamics, A. Celletti, I. D.B., S. Di Ruzza, Nolinearity, 2026
11) Symmetric solutions of the n‑body problem: a numerical study of Floquet multipliers and Morse indices, D. Berti, G. M. Canneori, R. Ciccarelli, I. D.B., M. Introna, D. Polimeni, Astronomy and Computing, 2026
10) Perturbative methods and synchronous resonances in Celestial Mechanics, A. Celletti, I. D.B., S. Di Ruzza, Applied Mathematical Modelling, 2025
9) Keplerian billiards in three dimensions: stability of equilibrium orbits and conditions for chaos, I. D.B., Nonlinear Analysis, 2026
8) Exploration of billiards with Keplerian potential, V. Barutello, A.M. Cherubini, I. D.B., Nonlinearity, 2025
7) Analytical methods in Celestial Mechanics: Satellites’ stability and galactic billiards, I. D.B., 2024, Astrophysics and Space Science
6) Chaotic dynamics in refraction galactic billiards, V. Barutello, I. D.B., S. Terracini, 2023, Nonlinearity
5) Nekhoroshev Estimates for Satellites’ orbital Stability, A. Celletti, I. D.B., C. Efthymiopoulos, 2023, Celestial Mechanics and Dynamical Astronomy
4) On some Refraction Billiards, I. D.B., S. Terracini, 2022, Discrete and Continuous Dynamical Systems
3) Refraction Periodic Trajectories in Central Mass Galaxies, I. D.B., S. Terracini, 2021, Nonlinear Analysis
2) Satellites’ orbital stability through normal forms, I. D.B., A. Celletti, C. Efthymiopoulos, 2021, Proceedings of IAU Symposium No. 364
1) Semi‑analytical estimates for the orbital stability of Earth’s satellites, I. D.B., A. Celletti, C. Efthymiopoulos, 2021, Journal of Nonlinear Science