Mar Giralt Miron

Postdoc researcher in dynamical systems

About me:

Postdoc researcher at Università degli Studi di Milano.

Previously PhD student at the Dynamical Systems group at Universitat Politècnica de Catalunya.

Research interests: Hamiltonian systems, Celestial Mechanics, splitting of separatrices phenomenon.

Contact details:

Dipartimento di Matematica Federigo Enriques

Via Saldini 50. 20133 Milano (Italia)

✉️: mar.giralt-miron [at] unimi.it

GoogleScholar · ORCID · ResearchGate · Github

Publications:

Study of the invariant manifolds of L3 in the RPC3BP :
- I. Baldomá, M. Giralt and M. Guardia. Breakdown of homoclinic orbits to L3 in the RPC3BP (I). Complex singularities and the inner equation.
  Advances in Mathematics, 408:108562, 2022. [Article] [Preprint] [Code].
- I. Baldomá, M. Giralt and M. Guardia. Breakdown of homoclinic orbits to L3 in the RPC3BP (II). An asymptotic formula.
  Advances in Mathematics, 430:109218, 2023. [Article] [Preprint].
- I. Baldomá, M. Giralt and M. Guardia. Chaotic coorbital motions to L3 in the RPC3BP.
  In preparation, 2023.

PhD thesis:

M. Giralt. Homoclinic and chaotic phenomena to L3 in the Restricted 3-Body Problem. PhD Thesis, 2022. [UPC repository] [TDX repository]
PhD Thesis Defense. November 25th, 2022: [Slides]

Some presentations:

Homoclinic and chaotic coorbital motions to L3:
- Ergodic Theory and Dynamical Systems Seminar at Warwick University (November 2022): [Slides].
- GLADS2022. Global and Local Aspects in Dynamical Systems (July 2022): [Poster]
- BIRS-Oaxaca. Geometric and Variational Methods in Celestial Mechanics Workshop (June 2022): [Video] [Slides].
- International workshop on Co-orbital Motion (March 2022): [Video] [Slides]
Breakdown of homoclinic orbits to L3:
- Seminar at IMATI in Milano (Sept 2021): [Slides].
- Seminar at the UB-UPC seminar in Dynamical Systems (March 2021): [Video] [Slides].

Last update: September 4th, 2023.

Art by Helena Aguilar-Giralt