CORDIS Project
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This project investigates Arnold diffusion in Hamiltonian systems, particularly focusing on instabilities in dynamical systems on lattices and Hamiltonian partial differential equations. It aims to understand energy transfer phenomena and the Fermi-Pasta-Ulam paradox through advanced mathematical modeling.
The study of Arnold diffusion in Hamiltonian systems has received a lot of attention in the last years.
This phenomenon arises when a small perturbation in a system causes big changes in it leading to global instabilities.
In recent years there have been partial results characterizing this phenomenon and proving its existence in Hamiltonian systems but mostly for systems of low dimension.
This project wants to be a step forward showing that such instabilities also arise in Dynamical Systems on l…
CENTRE NATIONAL DE LA RECHERCHE SCIENTIFIQUE CNRS
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