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.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 3060-3066 |
| Number of pages | 7 |
| Journal | Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics |
| Volume | 58 |
| Issue number | 3 |
| DOIs | |
| State | Published - Jan 1 1998 |
| Externally published | Yes |
ASJC Scopus subject areas
- Statistical and Nonlinear Physics
- Statistics and Probability
- Condensed Matter Physics
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Cite this
Feudel, U., Witt, A., Lai, Y. C., & Grebogi, C. (1998). Basin bifurcation in quasiperiodically forced systems. Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 58(3), 3060-3066. https://doi.org/10.1103/PhysRevE.58.3060