• Tingueu el micròfon apagat tota l'estona excepte durant el "Cafè i galetes".
• Podeu tenir la càmera encesa si voleu, però en cas de saturaciò de línies, caldrà que la tanqueu.
• Si voleu fer una pregunta, si us plau demaneu torn a través del xat i espereu que els moderadors us donin la paraula.
• Si és possible, entreu amb antelació. Els que no useu un compte de correu de la UPC haureu d'esperar a ser admesos per accedir-hi. (Això no aplica a les sessions BB Collaborate de la UB).

Dia: Dimecres, 9 de desembre de 2020

Lloc: ONLINE https://eu.bbcollab.com/guest/e72c23cf69754e1ca7555595a9a0f2bf

• Hora: 15h45m Inici sessió per a comprovacions
• Hora: 16h00m Café i galetes
• Hora: 16h15m

A càrrec de: Josep Maria Mondelo, Universitat Autònoma de Barcelona

Títol: Flow map parameterization methods for invariant tori in Hamiltonian systems

Resum: The goal of this talk is to present a methodology for the computation of invariant tori in Hamiltonian systems combining flow map methods, parameterization methods, and symplectic geometry. While flow map methods reduce the dimension of the tori to be computed by one (avoiding Poincare maps), parameterization methods reduce the cost of a single step of the derived Newton-like method to be proportional to the cost of a FFT. Symplectic properties lead to some magic cancellations that make the methods work. The multiple shooting version of the methods are applied to the computation of invariant tori and their invariant bundles around librational equilibrium points of the Restricted Three Body Problem. The invariant bundles are the first order approximations of the corresponding invariant manifolds, commonly known as the whiskers, which are very important in the dynamical organization and have important applications in space mission design.

Joint work with Àlex Haro.

Last updated: Fri Dec 4 19:19:51 2020