Strange nonchaotic attractors in random dynamical systems.
Whether strange nonchaotic attractors (SNAs) can occur typically in dynamical systems other than quasiperiodically driven systems has long been an open question. Here we show, based on a physical analysis and numerical evidence, that robust SNAs can be induced by small noise in autonomous discrete-time maps and in periodically driven continuous-time systems. These attractors, which are relevant to physical and biological applications, can thus be expected to occur more commonly in dynamical systems than previously thought.
Temasek Laboratories, National University of Singapore, 10 Kent Ridge Crescent, Singapore 119260.
Xingang
X
Wang
Meng
M
Zhan
Choy-Heng
CH
Lai
Ying-Cheng
YC
Lai
D016015:Logistic Models; D008954:Models, Biological; D008962:Models, Theoretical; D010507:Periodicity