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 elucidate.
| Original language | English |
|---|---|
| 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 |
| Publication status | Published - Sep 1998 |
Keywords
- STRANGE NONCHAOTIC ATTRACTOR
- DYNAMICAL-SYSTEMS
- CHAOTIC ATTRACTORS
- BOUNDARIES
- WADA
- CRISIS
- MAP