Gevrey Normal Form and Effective Stability of Lagrangian Tori

Details Gevrey Normal Form and Effective Stability of Lagrangian Tori Gevrey Normal Form and Effective Stability of Lagrangian Tori

2009-09-19

arxiv.org/abs/0909.3575v1

Mathematics

Dynamical Systems

Scientific paper

A Gevrey symplectic normal form of an analytic and more generally Gevrey
smooth Hamiltonian near a Lagrangian invariant torus with a Diophantine vector
of rotation is obtained. The normal form implies effective stability of the
quasi-periodic motion near the torus.

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