Kim Sang-Yoon, Lim Woochang, Ott Edward
Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, MD 20742, USA.
Phys Rev E Stat Nonlin Soft Matter Phys. 2003 May;67(5 Pt 2):056203. doi: 10.1103/PhysRevE.67.056203. Epub 2003 May 7.
Intermittent strange nonchaotic attractors (SNAs) appear typically in quasiperiodically forced period-doubling systems. As a representative model, we consider the quasiperiodically forced logistic map and investigate the mechanism for the intermittent route to SNAs using rational approximations to the quasiperiodic forcing. It is found that a smooth torus transforms into an intermittent SNA via a phase-dependent saddle-node bifurcation when it collides with a new type of "ring-shaped" unstable set.
间歇性奇异非混沌吸引子（SNA）通常出现在准周期强迫倍周期系统中。作为一个代表性模型，我们考虑准周期强迫逻辑斯谛映射，并使用准周期强迫的有理逼近研究通向SNA的间歇性途径的机制。研究发现，当一个光滑环面与一种新型的“环形”不稳定集碰撞时，它会通过与相位相关的鞍结分岔转变为间歇性SNA。
