Dana Itzhack
Minerva Center and Department of Physics, Bar-Ilan University, Ramat-Gan 52900, Israel.
Phys Rev E Stat Nonlin Soft Matter Phys. 2004 Jan;69(1 Pt 2):016212. doi: 10.1103/PhysRevE.69.016212. Epub 2004 Jan 29.
A class of kicked rotors is introduced, exhibiting accelerator-mode islands (AIs) and global superdiffusion for arbitrarily weak chaos. The corresponding standard maps are shown to be exactly related to generalized web maps taken modulo an "oblique cylinder." Then, in a case that the web-map orbit structure is periodic in the phase plane, the AIs are essentially normal web islands folded back into the cylinder. As a consequence, chaotic orbits sticking around the AI boundary are accelerated only when they traverse tiny "acceleration spots." This leads to chaotic flights having a quasiregular steplike structure. The global weak-chaos superdiffusion is thus basically different in nature from the strong-chaos one in the usual standard and web maps.
引入了一类受踢转子，其展示出加速器模式岛（AI）以及任意弱混沌情况下的全局超扩散。相应的标准映射被证明与在一个“倾斜圆柱”上取模的广义蛛网映射精确相关。然后，在蛛网映射轨道结构在相平面中呈周期性的情况下，AI本质上是折叠回圆柱的普通蛛网岛。结果，仅当混沌轨道穿过微小的“加速点”时，黏附在AI边界周围的混沌轨道才会加速。这导致混沌飞行具有准规则的阶梯状结构。因此，全局弱混沌超扩散在本质上与通常标准映射和蛛网映射中的强混沌超扩散基本不同。
