Nonlinear Sciences – Chaotic Dynamics
Scientific paper
2003-04-24
Physical Review E vol. 69, 016212 (2004)
Nonlinear Sciences
Chaotic Dynamics
REVTEX, 4 Figures: fig1.jpg, fig2.ps, fig3.ps, fig4.ps
Scientific paper
10.1103/PhysRevE.69.016212
A class of kicked rotors is introduced, exhibiting accelerator-mode islands (AIs) and {\em global} superdiffusion for {\em 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 {\em normal} web islands folded back into the cylinder. As a consequence, chaotic orbits sticking around the AI boundary are accelerated {\em only} when they traverse tiny {\em ``acceleration spots''}. This leads to chaotic flights having a quasiregular {\em 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.
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