Rotating Accelerator-Mode Islands

Details Rotating Accelerator-Mode Islands Rotating Accelerator-Mode Islands

2006-12-24

arxiv.org/abs/nlin/0612054v1

Physical Review E 75, 056209 (2007)

Nonlinear Sciences

Chaotic Dynamics

REVTEX, 31 pages (including 2 tables and 15 figures)

Scientific paper

10.1103/PhysRevE.75.056209

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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