Abstract
The effect of weak dissipation on chaotic scattering is relevant to situations of physical interest. We investigate how the fractal dimension of the set of singularities in a scattering function varies as the system becomes progressively more dissipative. A crossover phenomenon is uncovered where the dimension decreases relatively more rapidly as a dissipation parameter is increased from zero and then exhibits a much slower rate of decrease. We provide a heuristic theory and numerical support from both discrete-time and continuous-time scattering systems to establish the generality of this phenomenon. Our result is expected to be important for physical phenomena such as the advection of inertial particles in open chaotic flows, among others.
| Original language | English (US) |
|---|---|
| Article number | 016208 |
| Journal | Physical Review E - Statistical, Nonlinear, and Soft Matter Physics |
| Volume | 76 |
| Issue number | 1 |
| DOIs | |
| State | Published - Jul 10 2007 |
Fingerprint
ASJC Scopus subject areas
- Physics and Astronomy(all)
- Condensed Matter Physics
- Statistical and Nonlinear Physics
- Mathematical Physics
Cite this
Fractal dimension in dissipative chaotic scattering. / Seoane, Jesús M.; Sanjuán, Miguel A F; Lai, Ying-Cheng.
In: Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, Vol. 76, No. 1, 016208, 10.07.2007.Research output: Contribution to journal › Article
}
TY - JOUR
T1 - Fractal dimension in dissipative chaotic scattering
AU - Seoane, Jesús M.
AU - Sanjuán, Miguel A F
AU - Lai, Ying-Cheng
PY - 2007/7/10
Y1 - 2007/7/10
N2 - The effect of weak dissipation on chaotic scattering is relevant to situations of physical interest. We investigate how the fractal dimension of the set of singularities in a scattering function varies as the system becomes progressively more dissipative. A crossover phenomenon is uncovered where the dimension decreases relatively more rapidly as a dissipation parameter is increased from zero and then exhibits a much slower rate of decrease. We provide a heuristic theory and numerical support from both discrete-time and continuous-time scattering systems to establish the generality of this phenomenon. Our result is expected to be important for physical phenomena such as the advection of inertial particles in open chaotic flows, among others.
AB - The effect of weak dissipation on chaotic scattering is relevant to situations of physical interest. We investigate how the fractal dimension of the set of singularities in a scattering function varies as the system becomes progressively more dissipative. A crossover phenomenon is uncovered where the dimension decreases relatively more rapidly as a dissipation parameter is increased from zero and then exhibits a much slower rate of decrease. We provide a heuristic theory and numerical support from both discrete-time and continuous-time scattering systems to establish the generality of this phenomenon. Our result is expected to be important for physical phenomena such as the advection of inertial particles in open chaotic flows, among others.
UR - http://www.scopus.com/inward/record.url?scp=34547357376&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=34547357376&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.76.016208
DO - 10.1103/PhysRevE.76.016208
M3 - Article
AN - SCOPUS:34547357376
VL - 76
JO - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
JF - Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
SN - 1539-3755
IS - 1
M1 - 016208
ER -