TY - JOUR
T1 - Measuring spatial coupling in inhomogeneous dynamical systems
AU - Broze, George
AU - Narayanan, Satish
AU - Hussain, Fazle
N1 - Copyright:
Copyright 2017 Elsevier B.V., All rights reserved.
PY - 1997
Y1 - 1997
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=5544313744&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.55.4179
DO - 10.1103/PhysRevE.55.4179
M3 - Article
AN - SCOPUS:5544313744
VL - 55
SP - 4179
EP - 4186
JO - Physical Review E
JF - Physical Review E
SN - 2470-0045
IS - 4
ER -