Measuring spatial coupling in inhomogeneous dynamical systems

George Broze, Satish Narayanan, Fazle Hussain

Research output: Contribution to journalArticle

5 Scopus citations

Abstract

We propose coherence as a tool to quantify spatiotemporal dynamics, in particular, in spatially inhomogeneous dynamical systems. We demonstrate coherence to be an appropriate measure of predictability and, hence, spatial coupling in nonlinear systems, using analysis and via experimental results from a circular jet flow. Coherence measurements reveal sizable regions of strong spatial coupling in this spatially developing open flow, in contrast to much smaller coupling regions indicated by conventional correlation. Decaying coherence, indicating spatiotemporal dynamics, is also found in the jet, and possible physical mechanisms are discussed. In addition, the causes for coherence decay are explained analytically.

Original languageEnglish (US)
Pages (from-to)4179-4186
Number of pages8
JournalPhysical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
Volume55
Issue number4
DOIs
StatePublished - 1997

ASJC Scopus subject areas

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

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