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 SUPPL. A |
| State | Published - 1998 |
| Externally published | Yes |
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ASJC Scopus subject areas
- Mathematical Physics
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
Cite this
Basin bifurcation in quasiperiodically forced systems. / Feudel, Ulrike; Witt, Annette; Lai, Ying-Cheng; Grebogi, Celso.
In: Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, Vol. 58, No. 3 SUPPL. A, 1998, p. 3060-3066.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Basin bifurcation in quasiperiodically forced systems
AU - Feudel, Ulrike
AU - Witt, Annette
AU - Lai, Ying-Cheng
AU - Grebogi, Celso
PY - 1998
Y1 - 1998
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0032159688&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0032159688&partnerID=8YFLogxK
M3 - Article
VL - 58
SP - 3060
EP - 3066
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 3 SUPPL. A
ER -