Mechanism for the intermittent route to strange nonchaotic attractors.
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.
Kim
Sang-Yoon
SY
Institute for Research in Electronics and Applied Physics, University of Maryland, College Park, MD 20742, USA. sykim@kangwon.ac.kr
Lim
Woochang
W
Ott
Edward
E