Thirty years of turnstiles and transport.
Thirty years of turnstiles and transport.
复制标题
三十年的十字转门和运输。
作者：
J. Meiss
要刻画确定性动力系统中的输运，就是计算相空间中区域的退出时间分布或区域之间的过渡时间分布。本文综述了近三十年来在这一问题上取得的长足进展。体积保留图的主要运移指标包括流出和流入区域的通量。对于保面积映射，不变流形形成部分障碍的曲线阻碍了传输，例如，稳定的和不稳定的流形包围了共振区或坎托里，破坏的不变环面的残余物。当映射是精确体积守恒时，拉格朗日微分形式可以用来减少通量的计算，以求某些关键轨道的作用之间的差异，如同宿轨道到鞍点或到鞍点。给出了将相空间划分为以部分势垒为边界的区域，输运的马尔可夫树模型解释了关键观测结果，例如退出分布和递归分布的代数衰减。
To characterize transport in a deterministic dynamical system is to compute exit time distributions from regions or transition time distributions between regions in phase space. This paper surveys the considerable progress on this problem over the past thirty years. Primary measures of transport for volume-preserving maps include the exiting and incoming fluxes to a region. For area-preserving maps, transport is impeded by curves formed from invariant manifolds that form partial barriers, e.g., stable and unstable manifolds bounding a resonance zone or cantori, the remnants of destroyed invariant tori. When the map is exact volume preserving, a Lagrangian differential form can be used to reduce the computation of fluxes to finding a difference between the actions of certain key orbits, such as homoclinic orbits to a saddle or to a cantorus. Given a partition of phase space into regions bounded by partial barriers, a Markov tree model of transport explains key observations, such as the algebraic decay of exit and recurrence distributions.
影响因子：
8.6
作者：
Tony Albers;G. Radons
通讯作者：
Tony Albers;G. Radons
影响因子：
8.6
作者：
Matthias Michler;A. Bäcker;R. Ketzmerick;H. Stöckmann;S. Tomsovic
通讯作者：
Matthias Michler;A. Bäcker;R. Ketzmerick;H. Stöckmann;S. Tomsovic
影响因子：
2.4
作者：
Richter, Martin;Lange, Steffen;Ketzmerick, Roland
通讯作者：
Ketzmerick, Roland