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 elucidate.
|Number of pages||7|
|Journal||Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics|
|Publication status||Published - Sep 1998|
- STRANGE NONCHAOTIC ATTRACTOR
- CHAOTIC ATTRACTORS