极值轨线中的阶
Order in extremal trajectories
摘要：
给定一个混沌动力系统和一个时间间隔，其中某个量的平均值异常大，我们对产生这种偏差的轨迹有什么看法？作为一个例子，我们研究了典型的混沌系统，面包师映射的轨迹。我们表明，在所有不规则的轨迹，大偏差的要求选择（孤立）的轨道是周期性或准周期性的。我们讨论了这种计算的相关性可能是动力系统和眼镜。
英文摘要：
Given a chaotic dynamical system and a time interval in which some quantity takes an unusually large average value, what can we say of the trajectory that yields this deviation? As an example, we study the trajectories of the archetypical chaotic system, the baker's map. We show that, out of all irregular trajectories, a large-deviation requirement selects (isolated) orbits that are periodic or quasiperiodic. We discuss what the relevance of this calculation may be for dynamical systems and for glasses.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
