A rough-and-ready cluster-based approach for extracting finite-time coherent sets from sparse and incomplete trajectory data

被引：76

作者：

Froyland, Gary ^{[1
]}

Padberg-Gehle, Kathrin ^{[2
]}

机构：

[1] Univ New S Wales, Sch Math & Stat, Sydney, NSW 2052, Australia

[2] Tech Univ Dresden, Inst Wissensch Rechnen, Fachrichtung Math, D-01062 Dresden, Germany

来源：

CHAOS | 2015年 / 25卷 / 08期

基金：

澳大利亚研究理事会;

关键词：

TRANSPORT;

D O I：

10.1063/1.4926372

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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. (C) 2015 AIP Publishing LLC.

引用

页数：15

共 37 条

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PHYSICA D-NONLINEAR PHENOMENA, 2010, 239 (16) :1527-1541

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ERGODIC THEORY AND DYNAMICAL SYSTEMS, 2010, 30 :729-756

[19] Almost-invariant sets and invariant manifolds - Connecting probabilistic and geometric descriptions of coherent structures in flows [J].

Froyland, Gary ;

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PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (16) :1507-1523

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PHYSICA D-NONLINEAR PHENOMENA, 2012, 241 (20) :1680-1702

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