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Rotating Accelerator-Mode Islands

Authors
  • Barash, Oded
  • Dana, Itzhack
Type
Published Article
Publication Date
Dec 23, 2006
Submission Date
Dec 23, 2006
Identifiers
DOI: 10.1103/PhysRevE.75.056209
arXiv ID: nlin/0612054
Source
arXiv
License
Unknown
External links

Abstract

The existence of rotating accelerator-mode islands (RAIs), performing quasiregular motion in rotational resonances of order $m>1$ of the standard map, is firmly established by an accurate numerical analysis of all the known data. It is found that many accelerator-mode islands for relatively small nonintegrability parameter $K$ are RAIs visiting resonances of different orders $m\leq 3$. For sufficiently large $K$, one finds also ``pure'' RAIs visiting only resonances of the {\em same} order, $m=2$ or $m=3$. RAIs, even quite small ones, are shown to exhibit sufficient stickiness to produce an anomalous chaotic transport. The RAIs are basically different in nature from accelerator-mode islands in resonances of the ``forced'' standard map which was extensively studied recently in the context of quantum accelerator modes.

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