Dia: Dimecres, 26 d'abril de 2023
Lloc: Aula S04, Facultat de Matemàtiques i Estadística, UPC. Pau Gargallo,14 BCN.
A càrrec de: Marcel Guàrdia (Universitat de Barcelona)
Títol: Transfer of energy in Hamiltonian systems on infinite lattices
Resum: In this talk we present a recent result about the existence of transfer of energy orbits in a chain of infinitely many weakly coupled pendulums. The model system is posed on an infinite lattice (of any dimension) with formal or convergent Hamiltonian. We develop geometric tools to perform an Arnold diffusion mechanism in infinite dimensional phase spaces. In this way we construct solutions that move the energy of the pendulums along any prescribed path in the lattice.
This is a joint work with Filippo Giuliani.
Last updated: Tue Jun 6 11:10:49 2023