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arXiv · 0909.3575

Gevrey Normal Form and Effective Stability of Lagrangian Tori

Todor Mitev·Georgi Popov
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Abstract

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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Todor Mitev, Georgi Popov. 2009-09-19. Gevrey Normal Form and Effective Stability of Lagrangian Tori. https://arxiv.org/abs/0909.3575

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