Naplekov D M, Yanovsky V V
Institute for Single Crystals, NAS Ukraine, 60 Nauky Avenue, Kharkov, 61001, Ukraine.
V. N. Karazin Kharkiv National University, 4 Svobody Square, Kharkiv, 61022, Ukraine.
Phys Rev E. 2021 Feb;103(2-1):022209. doi: 10.1103/PhysRevE.103.022209.
In this paper, we study the inhomogeneity of chaotic sea properties far from islands in billiardlike systems and its influence on distributions of particle's return times. A visibly homogeneous chaotic sea at certain parameters has a nontrivial internal structure, in particular, being divided into two chaotic phases with different properties. These phases are not separated by any obstacles, neither in phase nor in configuration spaces, and are partially overlaying. The emergence of a chaotic sea structure may be explained by the existence of remnants of integrable behavior, like sites of regular trajectories of broken islands of stability built into the chaotic sea. In the case of such chaotic seas, we find distributions of return times with two main sites of exponential decay.
在本文中，我们研究了类台球系统中远离岛屿处混沌海特性的不均匀性及其对粒子返回时间分布的影响。在某些参数下看似均匀的混沌海具有非平凡的内部结构，特别是被分为两个具有不同特性的混沌相。这些相在相空间和构型空间中都没有被任何障碍物分隔，而是部分重叠的。混沌海结构的出现可以用可积行为残余的存在来解释，比如嵌入混沌海中的稳定破碎岛的规则轨迹位点。在这种混沌海的情况下，我们发现返回时间的分布有两个主要的指数衰减位点。
