Dia: Dimecres 27 de maig de 2026

Lloc: Aula S04, Facultat de Matemàtiques i Estadística, UPC. Pau Gargallo,14 BCN.

• Hora: 16h00m

  A càrrec de: Pablo Roldan, UPC

  Títol: Efficient shadowing of pseudo-orbits generated by the transition map

  Resum: In a recent paper [DGR26], we considered the spatial R3BP around the equilibrium point L₁, and constructed diffusion pseudo-orbits with optimal diffusion time. The pseudo-orbits are obtained by iterating the so-called transition map on a suitable NHIM. They are chains of (finite-time) heteroclinic orbit segments, so they are not true orbits of the R3BP system. In this talk, we will explain how to construct true diffusion orbits that shadow the pseudo-orbits. We will use:
  - the transition map;
  - the Birkhoff normal form around L₁; and
  - a (numerical) multiple shooting scheme.
  In contrast to common shadowing lemmas used in theoretical papers, we construct shadowing orbits of similar length than the pseudo-orbits.
  This is joint work with A. Delshams and M. Gidea.

  [DGR26]: Delshams, Gidea and Roldan: Semi-analytic construction of global transfers between quasi-periodic orbits in the spatial RTBP. Commun. Nonlinear Sci. Numer. Simul. 152 (2026)

Last updated: Mon May 25 22:19:30 2026