Fractal dimension in dissipative chaotic scattering

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

Research output: Contribution to journalArticle

44 Scopus citations

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

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ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Statistics and Probability
  • Condensed Matter Physics

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