Obiettivo
The dynamical systems commonly found in the nature display at the same time zones with regular motion and zones with chaotic motion. The location of such different kinds of behaviour, as well as the transition between them and its dependence on parameters leads to the description and full understanding of the structure of the phase space of the dynamical system.
Main Objectives:
1. To investigate the structure of the phase space for dynamical systems close to integrable Hamiltonian systems;
2. To develop and compare variation and geometrical methods for the detection of chaotic motion and diffusion in Hamiltonian systems and symplectic maps;
3. To detect analytically and numerically the exponentially small phenomena in Hamiltonian systems and symplectic maps;
4. To provide constructive tools and higher order methods for the detection of integrability and non-integrability of Hamiltonian systems;
5. To study homoclinic orbits and homoclinic bifurcations for conservative and non-conservative systems;
6. To investigate the existence of invariant objects in infinite dimensional Hamiltonian systems;
7. To study the non-analyticity and Gevrey regularity of centre-like invariant manifolds.
Invito a presentare proposte
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08028 Barcelona
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