Destruction of Invariant Circles for Gevrey Area-Preserving Twist Map

作者：Wang Lin^*

来源：Journal of Dynamics and Differential Equations, 2015, 27(2): 283-295.

DOI：10.1007/s10884-014-9361-6

• Invariant circle
• Minimal configuration
• Peierls's barrier

In this paper, we show that for exact area-preserving twist maps on annulus, the invariant circles with a given rotation number can be destroyed by arbitrarily small Gevrey- perturbations of the integrable generating function in the topology with , where alpha>1.

• 出版日期2015-6
• 单位复旦大学