Fractal dimension in dissipative chaotic scattering

Jesús M. Seoane, Miguel A F Sanjuán, Ying-Cheng Lai

Research output: Contribution to journalArticle

44 Citations (Scopus)

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 languageEnglish (US)
Article number016208
JournalPhysical Review E - Statistical, Nonlinear, and Soft Matter Physics
Volume76
Issue number1
DOIs
StatePublished - Jul 10 2007

Fingerprint

Fractal Dimension
fractals
dissipation
Scattering
scattering functions
Dissipation
advection
scattering
Decrease
crossovers
Advection
Crossover
Continuous Time
Discrete-time
Vary
Heuristics
Singularity
Zero

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 journalArticle

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