TY  - JOUR
A1  - Pikovskij, Arkadij
A1  - Neumann, Eireen
T1  - Comment on "Simple approach to the creation of a strange nonchaotic attractor in any chaotic system"
N2  - We address the problem of existence of strange nonchaotic attractors (SNAs) in quasiperiodically forced dynamical systems. Recently, Shuai and Wong [Phys. Rev. E 59, 5338 (1999)] suggested a universal method for constructing a SNA in an arbitrary system possessing chaos. We demonstrate here that, in general, this method fails. For arbitrary systems, it gives a SNA only in a vicinity of transition to chaos. We discuss also a special example, where the method by Shuai and Wong indeed produces a SNA.
Y1  - 2001
ER  - 
TY  - JOUR
A1  - Kuznetsov, Sergey P.
A1  - Neumann, Eireen
A1  - Pikovskij, Arkadij
A1  - Sataev, I. G.
T1  - Critical point of tori collision in quasiperiodically forced systems
N2  - We report on a type of scaling behavior in quasiperiodically forced systems. On the parameter plane the critical point appears as a terminal point of the tori-collision bifurcation curve; its location is found numerically with high precision for two basic models, the forced supercritical circle map and the forced quadratic map. The hypothesis of universality, based on renormalization group arguments, is advanced to explain the observed scaling properties for the critical attractor and for the parameter plane arrangement in the neighborhood of the criticality.
Y1  - 2000
ER  - 
TY  - JOUR
A1  - Neumann, Eireen
A1  - Pikovskij, Arkadij
T1  - Quasiperiodically driven Josephson junctions : strange nonchaotic attractors, symmetries and transport
Y1  - 2002
ER  -