Perturbed on-off intermittency

D Marthaler, D Armbruster, Y C Lai, E J Kostelich, Ying-Cheng Lai

Research output: Contribution to journalArticle

17 Citations (Scopus)

Abstract

A basic requirement for on-off intermittency to occur is that the system possesses an invariant subspace. We address how on-off intermittency manifests itself when a perturbation destroys the invariant subspace. In particular, we distinguish between situations where the threshold for measuring the on-off intermittency in numerical or physical experiments is much larger than or is comparable to the size of the perturbation. Our principal result is that, as the perturbation parameter increases from zero, a metamorphosis in on-off intermittency occurs in the sense that scaling laws associated with physically measurable quantities change abruptly. A geometric analysis, a random-walk model, and numerical computations support the result.

Original languageEnglish
Article number016220
Pages (from-to)-
Number of pages9
JournalPhysical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume6401
Issue number1
Publication statusPublished - Jul 2001

Keywords

  • COUPLED-OSCILLATOR-SYSTEMS
  • CHAOTIC DYNAMICAL-SYSTEMS
  • INTERMINGLED BASINS
  • SYNCHRONIZED CHAOS
  • POWER SPECTRUM
  • BIFURCATION

Cite this

Marthaler, D., Armbruster, D., Lai, Y. C., Kostelich, E. J., & Lai, Y-C. (2001). Perturbed on-off intermittency. Physical Review. E, Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics, 6401(1), -. [016220].