Non domandarci la formula che mondi possa aprirti
sì qualche storta sillaba e secca come un ramo.
Codesto solo oggi possiamo dirti,
ciò che non siamo, ciò che non vogliamo.
Non chiederci la parola, E. Montale
Parco degli acquedotti, Roma 2020
Non domandarci la formula che mondi possa aprirti
sì qualche storta sillaba e secca come un ramo.
Codesto solo oggi possiamo dirti,
ciò che non siamo, ciò che non vogliamo.
Non chiederci la parola, E. Montale
Parco degli acquedotti, Roma 2020
Publications
A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian system, C. Caracciolo, J. Figueras, A. Haro, Nonlinearity, 38 (2), 2025.
3D Orbital Architecture of Exoplanetary Systems: KAM–Stability Analysis, C. Caracciolo, U. Locatelli, M. Sansottera, M.Volpi, Regular and Chaotic Dynamics, 29 (4), 565–582, 2024.
Invariant KAM tori: from theory to applications to exoplanetary systems, U. Locatelli, C. Caracciolo, M. Sansottera, M. Volpi, Special Volume: Title: I-CELMECH Training School; Subtitle: New frontiers of Celestial Mechanics: theory and applications, In Springer Proceedings in Mathematics & Statistics (PROMS), 2023.
A numerical criterion evaluating the robustness of planetary architectures; applications to the υ Andromedæ system, U. Locatelli, C. Caracciolo, M. Sansottera, M. Volpi, Volume: Multi-scale (time and mass) dynamics of space objects, Proceedings IAU Symposium, No. 364, A. Celletti, C. Beaugé, C. Gales, A. Lemaître, eds., 2022.
Librational KAM tori in the secular dynamics of the υ Andromedæ planetary system, C. Caracciolo, U. Locatelli, M. Sansottera, M. Volpi, Monthly Notices of the Royal Astronomical Society, 510(2), 2147-2166, 2022.
Normal form for lower dimensional elliptic tori in Hamiltonian systems, C. Caracciolo, Mathematics in Engineering, 4(6), 1–40, 2021.
Elliptic tori in FPU non-linear chains with a small number of nodes, C. Caracciolo, U. Locatelli, Communications in Nonlinear Science & Numerical Simulation, 97, 2021.
On the stability in the neighborhood of invariant elliptic tori, Ph.D. thesis, University of Rome "Tor Vergata", 2021.
Computer-assisted estimates for Birkhoff normal forms, C. Caracciolo, U. Locatelli, Journal of Computational Dynamics, 7(2), 425–460, 2020.
Talks
Existence of KAM tori in the realistic planar three-body problem, in "Dynamics, Topology and Computations", Bȩdlewo, Poland (2025).
3D Orbital Architecture of Exoplanetary Systems: KAM–Stability Analysis, University of Barcelona, Spain (2025) (invited speaker)
Computation of Elliptic Invariant Tori via parametrization method, Equadiff 2024, Minisymposium: computer-assisted proofs in dynamics, Karlstad, Sweden (2024) (invited speaker).
The challenge of the applicability of KAM theorem: a computer-assisted approach, 3-part seminar series, University of Padua, Italy (2024) (invited speaker).
A parametrization algorithm to compute lower dimensional elliptic tori in Hamiltonian systems, Dynamical systems and Number Theory seminar, Uppsala University, Sweden (2024).
Computation of Elliptic Invariant Tori via parametrization method, Barcelona Mathematical Days 2023, Dynamical systems session, Barcelona, Spain (2023) (invited speaker).
Validation of Elliptic Invariant Tori in Hamiltonian Systems, Minisymposium: Computer-assisted proofs in differential equations, ICIAM 2023, Waseda University, Japan (2023).
Long-term stability of planetary systems: some computer-assisted result, New Frontiers of Celestial Mechanics: Theory and Applications, University of Padua, Italy (2023).
On the applicability of KAM theory to realistic problems: effective stability and computer-assisted proofs, seminar in the group of "Dynamical Systems and Number Theory", Uppsala University, Sweden (2022).
Exploring KAM stability for extrasolar systems, CELMEC VIII, University of Rome "Tor Vergata", Italy, video (2022).
Librational KAM tori in the secular dynamics of Upsilon–Andromedæ planetary system, I-CELMECH web seminars, video (2020) (invited speaker).
Elliptic tori in FPU chains, CAPA (Computer-aided proofs in analysis) web seminars (2020) (invited speaker).
Librational KAM tori in the secular dynamics of Upsilon–Andromedæ planetary system, working seminar, University of Barcelona (2020) (invited speaker).
Effective stability through computer assisted estimates for Birkhoff normal form, in "XLIV Summer school on Mathematical Physics", Ravello, Italy (2019).
Elliptic tori in FPU chains, in "Dynamics, Topology and Computations", Bȩdlewo, Poland (2018).