A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data
Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet
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in: Chaos, Jahrgang 25, Nr. 8, 087406, 01.08.2015.
Publikation: Beiträge in Zeitschriften › Zeitschriftenaufsätze › Forschung › begutachtet
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TY - JOUR
T1 - A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data
AU - Froyland, Gary
AU - Padberg-Gehle, Kathrin
PY - 2015/8/1
Y1 - 2015/8/1
N2 - We present a numerical method to identify regions of phase space that are approximately retained in a mobile compact neighbourhood over a finite time duration. Our approach is based on spatio-temporal clustering of trajectory data. The main advantages of the approach are the ability to produce useful results (i) when there are relatively few trajectories and (ii) when there are gaps in observation of the trajectories as can occur with real data. The method is easy to implement, works in any dimension, and is fast to run.
AB - We present a numerical method to identify regions of phase space that are approximately retained in a mobile compact neighbourhood over a finite time duration. Our approach is based on spatio-temporal clustering of trajectory data. The main advantages of the approach are the ability to produce useful results (i) when there are relatively few trajectories and (ii) when there are gaps in observation of the trajectories as can occur with real data. The method is easy to implement, works in any dimension, and is fast to run.
KW - Mathematics
UR - http://www.scopus.com/inward/record.url?scp=84937054000&partnerID=8YFLogxK
UR - https://www.mendeley.com/catalogue/34730f23-4222-34fc-90b6-e831aff3d3db/
U2 - 10.1063/1.4926372
DO - 10.1063/1.4926372
M3 - Journal articles
C2 - 26328577
AN - SCOPUS:84937054000
VL - 25
JO - Chaos
JF - Chaos
SN - 1054-1500
IS - 8
M1 - 087406
ER -