混沌台球中边缘不稳定周期轨道的普遍性
Prevalence of marginally unstable periodic orbits in chaotic billiards
摘要：
混沌台球的动力学是显着的影响共存区域的定期运动。在这里，我们调查的患病率不同的基本结构，这是由边缘不稳定的周期性轨道，并站在远离常规区域。我们表明，这些结构都{ \it存在}和{ \it强烈影响}的动力学局部扰动台球，其中包括一个大类广泛研究的系统。我们证明了这些结构的影响，在量子制度使用微波实验在环形台球。
英文摘要：
The dynamics of chaotic billiards is significantly influenced by coexisting regions of regular motion. Here we investigate the prevalence of a different fundamental structure, which is formed by marginally unstable periodic orbits and stands apart from the regular regions. We show that these structures both {\it exist} and {\it strongly influence} the dynamics of locally perturbed billiards, which include a large class of widely studied systems. We demonstrate the impact of these structures in the quantum regime using microwave experiments in annular billiards.
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