Sistemi dinamici nonlineari e applicazioni

Exponential Stability in Nearly-Hamiltonian Systems

speaker: Christoph Lhotka (Università di Roma Tor Vergata)

abstract: In a recent research work 1 we were able to construct a normal form for weakly dissipative dynamical systems which are related to nearly integrable Hamiltonian systems to which a dissipation is added. On the basis of the normal form equations we proved the exponential stability of the actions of the conservative system in the sense of Nekhoroshev. In this talk we will summarize the technique to derive the normal form and outline the proof of the theorem in short.

1 Celletti A., Lhotka C., Stability for exponential times in nearly? Hamiltonian systems: the non?resonant case, Preprint 2011

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