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

被引：75
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
收藏
页数：15
相关论文
共 37 条
  • [11] Froyland G., DYNAMIC ISOPER UNPUB
  • [12] How well-connected is the surface of the global ocean?
    Froyland, Gary
    Stuart, Robyn M.
    van Sebille, Erik
    [J]. CHAOS, 2014, 24 (03)
  • [13] Chapter 9 Almost-Invariant and Finite-Time Coherent Sets: Directionality, Duration, and Diffusion
    Froyland, Gary
    Padberg-Gehle, Kathrin
    [J]. ERGODIC THEORY, OPEN DYNAMICS, AND COHERENT STRUCTURES, 2014, 70 : 171 - 216
  • [14] An analytic framework for identifying finite-time coherent sets in time-dependent dynamical systems
    Froyland, Gary
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2013, 250 : 1 - 19
  • [15] Finite-time entropy: A probabilistic approach for measuring nonlinear stretching
    Froyland, Gary
    Padberg-Gehle, Kathrin
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2012, 241 (19) : 1612 - 1628
  • [16] Transport in time-dependent dynamical systems: Finite-time coherent sets
    Froyland, Gary
    Santitissadeekorn, Naratip
    Monahan, Adam
    [J]. CHAOS, 2010, 20 (04)
  • [17] Coherent sets for nonautonomous dynamical systems
    Froyland, Gary
    Lloyd, Simon
    Santitissadeekorn, Naratip
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2010, 239 (16) : 1527 - 1541
  • [18] Coherent structures and isolated spectrum for Perron-Frobenius cocycles
    Froyland, Gary
    Lloyd, Simon
    Quas, Anthony
    [J]. 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
    Froyland, Gary
    Padberg, Kathrin
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2009, 238 (16) : 1507 - 1523
  • [20] Geodesic theory of transport barriers in two-dimensional flows
    Haller, George
    Beron-Vera, Francisco J.
    [J]. PHYSICA D-NONLINEAR PHENOMENA, 2012, 241 (20) : 1680 - 1702
1234