Abstract
We study the effect of quasiperiodic forcing on two-dimensional invertible maps. As basic models the Hénon and the ring maps are considered. We verify the existence of strange nonchaotic attractors (SNA) in these systems by two methods which are generalized to higher dimensions: via bifurcation analysis of the rational approximations, and by calculating the phase sensitivity. Analyzing these systems we especially find a new phenomenon: the appearance of strange nonchaotic attractors which consist of 2 n bands. Similar to the band-merging crisis in chaotic systems, such a 2 n band SNA can merge to a 2 n−1 band SNA.
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