Abstract
In this paper we study quasiperiodically forced systems exhibiting fractal and Wada basin boundaries. Specifically, by utilizing a class of representative systems, we analyze the dynamical origin of such basin boundaries and we characterize them. Furthermore, we find that basin boundaries in a quasiperiodically driven system can undergo a unique type of bifurcation in which isolated ``islands'' of basins of attraction are created as a system parameter changes. The mechanism for this type of basin boundary bifurcation is elucidated.
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