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Titel |
Investigating the connection between complexity of isolated trajectories and Lagrangian coherent structures |
VerfasserIn |
I. I. Rypina, S. E. Scott, L. J. Pratt, M. G. Brown |
Medientyp |
Artikel
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Sprache |
Englisch
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ISSN |
1023-5809
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Digitales Dokument |
URL |
Erschienen |
In: Nonlinear Processes in Geophysics ; 18, no. 6 ; Nr. 18, no. 6 (2011-12-15), S.977-987 |
Datensatznummer |
250014010
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Publikation (Nr.) |
copernicus.org/npg-18-977-2011.pdf |
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Zusammenfassung |
It is argued that the complexity of fluid particle trajectories provides the
basis for a new method, referred to as the Complexity Method (CM), for
estimation of Lagrangian coherent structures in aperiodic flows that are
measured over finite time intervals. The basic principles of the CM are
explained and the CM is tested in a variety of examples, both idealized and
realistic, and in different reference frames. Two measures of complexity are
explored in detail: the correlation dimension of trajectory, and a new
measure – the ergodicity defect. Both measures yield structures that
strongly resemble Lagrangian coherent structures in all of the examples
considered. Since the CM uses properties of individual trajectories, and not
separation rates between closely spaced trajectories, it may have advantages
for the analysis of ocean float and drifter data sets in which trajectories
are typically widely and non-uniformly spaced. |
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