Per a qualsevol qüestió o incidència que tingueu no dubteu en contactar amb els organitzadors: Pau Martín i Jezabel Curbelo (UPC), i/o Arturo Vieiro (UB)

Dia: Dimecres, 2 d'octubre de 2024

Lloc: Aula T2 (segon pis), Facultat de Matemàtiques i Informàtica, UB.- Hora: 16h00m

A càrrec de: Amadeu Delshams, UPC

Títol: Breakdown of homoclinic orbits to L1 of the hydrogen atom in a circularly polarized microwave field

Resum: We consider the Rydberg electron in a circularly polarized microwave field, whose dynamics is described by a 2 d.o.f. Hamiltonian, which is a perturbation of size K > 0 of the standard rotating Kepler problem. In a rotating frame, the largest chaotic region of this system lies around a center-saddle equilibrium point L1 and its associated invariant manifolds. We compute the distance between stable and unstable manifolds of L1 by means of a semi-analytical method, which consists of combining normal form, Melnikov, and averaging methods with numerical methods.

Also, we introduce a new family of Hamiltonians, which we call Toy CP systems, to be able to compare our numerical results with the existing theoretical results in the literature. It should be noted that the distance between these stable and unstable manifolds is exponentially small in the perturbation parameter K (in analogy with the L3 libration point of the R3BP).

This is a UPC joint work with Mercè Ollé, Juan Ramon Pacha and Óscar Rodríguez.

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Last updated: Fri Sep 27 18:34:13 2024