Effect of noise on chaotic scattering

Jesus M. Seoane, Liang Huang, Miguel A. F. Sanjuan, Ying-Cheng Lai

Research output: Contribution to journalArticle

36 Citations (Scopus)

Abstract

When noise is present in a scattering system, particles tend to escape faster from the scattering region as compared with the noiseless case. For chaotic scattering, noise can render particle-decay exponential, and the decay rate typically increases with the noise intensity. We uncover a scaling law between the exponential decay rate and the noise intensity. The finding is substantiated by a heuristic argument and numerical results from both discrete-time and continuous-time models.

Original languageEnglish
Article number047202
Number of pages4
JournalPhysical Review. E, Statistical, Nonlinear and Soft Matter Physics
Volume79
Issue number4
DOIs
Publication statusPublished - Apr 2009

Keywords

  • chaos
  • noise
  • nonlinear dynamical systems
  • basins
  • wada
  • oscillator
  • cylinders
  • systems
  • decay
  • model

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