When a Gevrey smooth perturbation is applied to a quasi-convex integrable Hamiltonian, it is known that the KAM invariant tori that survive are “sticky”, that is doubly exponentially stable. We show by examples the optimality of this effective stability.

中文翻译：

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KAM Tori 只不过是粘性的

当 Gevrey 平滑扰动应用于拟凸可积哈密顿量时，已知幸存下来的 KAM 不变环是“粘性的”，即双指数稳定。我们通过例子展示了这种有效稳定性的最优性。