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Volumn 20, Issue 1, 2010, Pages

The computation of finite-time Lyapunov exponents on unstructured meshes and for non-Euclidean manifolds

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EID: 77953560362     PISSN: 10541500     EISSN: None     Source Type: Journal    
DOI: 10.1063/1.3278516     Document Type: Article
Times cited : (117)

References (62)
  • 1
    • 0344633615 scopus 로고    scopus 로고
    • Spread of plant disease on a continental scale: Role of aerial dispersal of pathogens
    • ECOLAR, 0012-9658, 10.1890/01-0619.
    • Aylor DE. Spread of plant disease on a continental scale: Role of aerial dispersal of pathogens. Ecology 2003, 84:1989-1997. ECOLAR, 0012-9658, 10.1890/01-0619.
    • (2003) Ecology , vol.84 , pp. 1989-1997
    • Aylor, D.E.1
  • 2
    • 50849084162 scopus 로고    scopus 로고
    • Oceanic mesoscale eddies as revealed by Lagrangian coherent structures
    • GPRLAJ, 0094-8276, 10.1029/2008GL033957, and,,,, doi:10.1029/2008GL033957 .
    • Beron-Vera FJ, Olascoaga MJ, Goni GJ. Oceanic mesoscale eddies as revealed by Lagrangian coherent structures. Geophys. Res. Lett. 2008, 35:L12603. GPRLAJ, 0094-8276, 10.1029/2008GL033957 doi:10.1029/2008GL033957 .
    • (2008) Geophys. Res. Lett. , vol.35
    • Beron-Vera, F.J.1    Olascoaga, M.J.2    Goni, G.J.3
  • 3
    • 0000002044 scopus 로고    scopus 로고
    • Dynamics of a passive tracer in the velocity field of four identical point vortices
    • JFLSA7, 0022-1120, 10.1017/S0022112099005492.
    • Boatto S, Pierrehumbert R. Dynamics of a passive tracer in the velocity field of four identical point vortices. J. Fluid Mech. 1999, 394:137-174. JFLSA7, 0022-1120, 10.1017/S0022112099005492.
    • (1999) J. Fluid Mech. , vol.394 , pp. 137-174
    • Boatto, S.1    Pierrehumbert, R.2
  • 4
    • 0003971213 scopus 로고    scopus 로고
    • Manifold geometry and mixing in observed atmospheric flows
    • preprint.
    • Bowman KP. Manifold geometry and mixing in observed atmospheric flows. 1999, preprint.
    • (1999)
    • Bowman, K.P.1
  • 5
    • 0001163626 scopus 로고
    • Chaotic advection in a Rayleigh-Bénard flow
    • PLRAAN, 1050-2947, 10.1103/PhysRevA.43.774.
    • Camassa R, Wiggins S. Chaotic advection in a Rayleigh-Bénard flow. Phys. Rev. A 1991, 43:774-797. PLRAAN, 1050-2947, 10.1103/PhysRevA.43.774.
    • (1991) Phys. Rev. A , vol.43 , pp. 774-797
    • Camassa, R.1    Wiggins, S.2
  • 6
    • 43649097971 scopus 로고    scopus 로고
    • Vortex shedding over a two-dimensional airfoil: Where the particles come from
    • AIAJAH, 0001-1452, 10.2514/1.35223.
    • Cardwell BM, Mohseni K. Vortex shedding over a two-dimensional airfoil: Where the particles come from. AIAA J. 2008, 46:545-547. AIAJAH, 0001-1452, 10.2514/1.35223.
    • (2008) AIAA J. , vol.46 , pp. 545-547
    • Cardwell, B.M.1    Mohseni, K.2
  • 7
    • 34548791699 scopus 로고    scopus 로고
    • Optimal pollution mitigation in Monterey Bay based on coastal radar data and nonlinear dynamics
    • ESTHAG, 0013-936X, 10.1021/es0630691.
    • Coulliette C, Lekien F, Paduan JD, Haller G, Marsden JE. Optimal pollution mitigation in Monterey Bay based on coastal radar data and nonlinear dynamics. Environ. Sci. Technol. 2007, 41:6562-6572. ESTHAG, 0013-936X, 10.1021/es0630691.
    • (2007) Environ. Sci. Technol. , vol.41 , pp. 6562-6572
    • Coulliette, C.1    Lekien, F.2    Paduan, J.D.3    Haller, G.4    Marsden, J.E.5
  • 8
    • 0035088907 scopus 로고    scopus 로고
    • Intergyre transport in a wind-driven, quasigeostrophic double gyre: An application of lobe dynamics
    • ZZZZZZ, 1023-5809.
    • Coulliette C, Wiggins S. Intergyre transport in a wind-driven, quasigeostrophic double gyre: An application of lobe dynamics. Nonlinear Processes Geophys. 2001, 8:69-94. ZZZZZZ, 1023-5809.
    • (2001) Nonlinear Processes Geophys. , vol.8 , pp. 69-94
    • Coulliette, C.1    Wiggins, S.2
  • 9
    • 57549113159 scopus 로고    scopus 로고
    • Comparison between Eulerian diagnostics and finite-size Lyapunov exponents computed from altimetry in the Algerian basin
    • DRORE7, 0967-0637, 10.1016/j.dsr.2008.07.014.
    • d'Ovidio F, Isern-Fontanet J, López C, Hernández-García E, García-Ladona E. Comparison between Eulerian diagnostics and finite-size Lyapunov exponents computed from altimetry in the Algerian basin. Deep-Sea Res., Part I 2009, 56:15-31. DRORE7, 0967-0637, 10.1016/j.dsr.2008.07.014.
    • (2009) Deep-Sea Res., Part I , vol.56 , pp. 15-31
    • d'Ovidio, F.1    Isern-Fontanet, J.2    López, C.3    Hernández-García, E.4    García-Ladona, E.5
  • 10
    • 0033239812 scopus 로고    scopus 로고
    • On smooth decompositions of matrices
    • SJMAEL, 0895-4798, 10.1137/S0895479897330182.
    • Dieci L, Eirola T. On smooth decompositions of matrices. SIAM J. Matrix Anal. Appl. 1999, 20:800-819. SJMAEL, 0895-4798, 10.1137/S0895479897330182.
    • (1999) SIAM J. Matrix Anal. Appl. , vol.20 , pp. 800-819
    • Dieci, L.1    Eirola, T.2
  • 11
    • 0001356311 scopus 로고
    • Persistence and smoothness of invariant manifolds for flows
    • IUMJAB, 0022-2518, 10.1512/iumj.1971.21.2101.
    • Fenichel N. Persistence and smoothness of invariant manifolds for flows. Indiana Univ. Math. J. 1971, 21:193. IUMJAB, 0022-2518, 10.1512/iumj.1971.21.21017.
    • (1971) Indiana Univ. Math. J. , vol.21 , pp. 193
    • Fenichel, N.1
  • 12
    • 67650066712 scopus 로고    scopus 로고
    • Almost-invariant sets and invariant manifolds-Connecting probabilistic and geometric descriptions of coherent structures in flows
    • PDNPDT, 0167-2789, 10.1016/j.physd.2009.03.002.
    • Froyland G, Padberg K. Almost-invariant sets and invariant manifolds-Connecting probabilistic and geometric descriptions of coherent structures in flows. Physica D 2009, 238:1507-1523. PDNPDT, 0167-2789, 10.1016/j.physd.2009.03.002.
    • (2009) Physica D , vol.238 , pp. 1507-1523
    • Froyland, G.1    Padberg, K.2
  • 13
    • 35948982561 scopus 로고    scopus 로고
    • Efficient computation and visualization of coherent structures in fluid flow applications
    • ITVGEA, 1077-2626, 10.1109/TVCG.2007.70551.
    • Garth C, Gerhardt F, Tricoche X, Hagen H. Efficient computation and visualization of coherent structures in fluid flow applications. IEEE Trans. Vis. Comput. Graph. 2007, 13:1464-1471. ITVGEA, 1077-2626, 10.1109/TVCG.2007.70551.
    • (2007) IEEE Trans. Vis. Comput. Graph. , vol.13 , pp. 1464-1471
    • Garth, C.1    Gerhardt, F.2    Tricoche, X.3    Hagen, H.4
  • 14
    • 53149111577 scopus 로고    scopus 로고
    • Lagrangian visualization of flow-embedded surface structures
    • ZZZZZZ, 1067-7055, 10.1111/j.1467-8659.2008.01236.x.
    • Garth C, Wiebel A, Tricoche X, Joy K, Scheuermann G. Lagrangian visualization of flow-embedded surface structures. Comput. Graph. Forum 2008, 27:1007-1014. ZZZZZZ, 1067-7055, 10.1111/j.1467-8659.2008.01236.x.
    • (2008) Comput. Graph. Forum , vol.27 , pp. 1007-1014
    • Garth, C.1    Wiebel, A.2    Tricoche, X.3    Joy, K.4    Scheuermann, G.5
  • 15
    • 67349176315 scopus 로고    scopus 로고
    • Lagrangian coherent structures in the planar elliptic restricted three-body problem
    • CMDAEP, 0923-2958, 10.1007/s10569-008-9180-3, .
    • Gawlik ES, Marsden JE, Du Toit PC, Campagnola S. Lagrangian coherent structures in the planar elliptic restricted three-body problem. Celest. Mech. Dyn. Astron. 2009, 103:227-249. CMDAEP, 0923-2958, 10.1007/s10569-008-9180-3, .
    • (2009) Celest. Mech. Dyn. Astron. , vol.103 , pp. 227-249
    • Gawlik, E.S.1    Marsden, J.E.2    Du Toit, P.C.3    Campagnola, S.4
  • 16
    • 0004236492 scopus 로고    scopus 로고
    • 3rd ed. (Johns Hopkins University Press, Baltimore, MD).
    • Golub GH, Van Loan CF. Matrix Computations 1996, and,, 3rd ed. (Johns Hopkins University Press, Baltimore, MD).
    • (1996) Matrix Computations
    • Golub, G.H.1    Van Loan, C.F.2
  • 17
    • 33846487966 scopus 로고    scopus 로고
    • Detection of Lagrangian coherent structures in three-dimensional turbulence
    • JFLSA7, 0022-1120, 10.1017/S0022112006003648.
    • Green MA, Rowley CW, Haller G. Detection of Lagrangian coherent structures in three-dimensional turbulence. J. Fluid Mech. 2007, 572:111-120. JFLSA7, 0022-1120, 10.1017/S0022112006003648.
    • (2007) J. Fluid Mech. , vol.572 , pp. 111-120
    • Green, M.A.1    Rowley, C.W.2    Haller, G.3
  • 19
    • 0034147430 scopus 로고    scopus 로고
    • Finding finite-time invariant manifolds in two-dimensional velocity fields
    • CHAOEH, 1054-1500, 10.1063/1.166479.
    • Haller G. Finding finite-time invariant manifolds in two-dimensional velocity fields. Chaos 2000, 10:99-108. CHAOEH, 1054-1500, 10.1063/1.166479.
    • (2000) Chaos , vol.10 , pp. 99-108
    • Haller, G.1
  • 20
    • 0034823558 scopus 로고    scopus 로고
    • Distinguished material surfaces and coherent structures in 3D fluid flows
    • PDNPDT, 0167-2789, 10.1016/S0167-2789(00)00199-8.
    • Haller G. Distinguished material surfaces and coherent structures in 3D fluid flows. Physica D 2001, 149:248-277. PDNPDT, 0167-2789, 10.1016/S0167-2789(00)00199-8.
    • (2001) Physica D , vol.149 , pp. 248-277
    • Haller, G.1
  • 21
    • 0001229490 scopus 로고    scopus 로고
    • Finite-time transport in aperiodic flows
    • PDNPDT, 0167-2789, 10.1016/S0167-2789(98)00091-8.
    • Haller G, Poje AC. Finite-time transport in aperiodic flows. Physica D 1998, 119:352-380. PDNPDT, 0167-2789, 10.1016/S0167-2789(98)00091-8.
    • (1998) Physica D , vol.119 , pp. 352-380
    • Haller, G.1    Poje, A.C.2
  • 22
    • 0003269368 scopus 로고    scopus 로고
    • Transport, stirring and mixing in the atmosphere
    • Chaté, H., Villermaux, E., in, Cargese, Corse, France, 720 July, edited by and (Kluwer, Dordrecht)
    • Haynes P. Transport, stirring and mixing in the atmosphere. Proceedings of the NATO Advanced Study Institute on Mixing: Chaos and Turbulence 1999, 229-272. Chaté, H., Villermaux, E., in, Cargese, Corse, France, 720 July, edited by and (Kluwer, Dordrecht).
    • (1999) Proceedings of the NATO Advanced Study Institute on Mixing: Chaos and Turbulence , pp. 229-272
    • Haynes, P.1
  • 23
    • 14544300958 scopus 로고    scopus 로고
    • Stratospheric dynamics
    • ARVFA3, 0066-4189, 10.1146/annurev.fluid.37.061903.175710.
    • Haynes P. Stratospheric dynamics. Annu. Rev. Fluid Mech. 2005, 37:263-293. ARVFA3, 0066-4189, 10.1146/annurev.fluid.37.061903.175710.
    • (2005) Annu. Rev. Fluid Mech. , vol.37 , pp. 263-293
    • Haynes, P.1
  • 25
    • 26644450245 scopus 로고    scopus 로고
    • Principles of the atmospheric pathway for invasive species applied to soybean rust
    • BISNAS, 0006-3568, 10.1641/0006-3568(2005)055[0851:POTAPF]2.0.CO;2.
    • Isard SA, Gage SH, Comtois P, Russo JH. Principles of the atmospheric pathway for invasive species applied to soybean rust. BioScience 2005, 55:851-861. BISNAS, 0006-3568, 10.1641/0006-3568(2005)055[0851:POTAPF]2.0.CO;2, .
    • (2005) BioScience , vol.55 , pp. 851-861
    • Isard, S.A.1    Gage, S.H.2    Comtois, P.3    Russo, J.H.4
  • 26
    • 33750539571 scopus 로고    scopus 로고
    • The N-vortex problem on a rotating sphere. II. Heterogeneous Platonic solid equilibria
    • PRLAAZ, 0950-1207, 10.1098/rspa.2006.1731.
    • Jamaloodeen MI, Newton PK. The N-vortex problem on a rotating sphere. II. Heterogeneous Platonic solid equilibria. Proc. R. Soc. London, Ser. A 2006, 462:3277-3299. PRLAAZ, 0950-1207, 10.1098/rspa.2006.1731.
    • (2006) Proc. R. Soc. London, Ser. A , vol.462 , pp. 3277-3299
    • Jamaloodeen, M.I.1    Newton, P.K.2
  • 27
    • 0036540745 scopus 로고    scopus 로고
    • Relation between kinematic boundaries, stirring and barriers for the Antarctic polar vortex
    • JAHSAK, 0022-4928, 10.1175/1520-0469(2002)059<1198:RBKBSA>2.0.CO;2.
    • Joseph B, Legras B. Relation between kinematic boundaries, stirring and barriers for the Antarctic polar vortex. J. Atmos. Sci. 2002, 59:1198-1212. JAHSAK, 0022-4928, 10.1175/1520-0469(2002)059<1198:RBKBSA>2.0.CO;2.
    • (2002) J. Atmos. Sci. , vol.59 , pp. 1198-1212
    • Joseph, B.1    Legras, B.2
  • 29
    • 38949109976 scopus 로고    scopus 로고
    • Spatial interpolation and filtering of surface current data based on open-boundary modal analysis
    • 10.1029/2006JC003984, and,,,, doi:10.1029/2006JC003984 .
    • Kaplan DM, Lekien F. Spatial interpolation and filtering of surface current data based on open-boundary modal analysis. J. Geophys. Res., [Oceans] 2007, 112:C12007. 10.1029/2006JC003984, and,,,, doi:10.1029/2006JC003984 .
    • (2007) J. Geophys. Res., [Oceans] , vol.112
    • Kaplan, D.M.1    Lekien, F.2
  • 30
    • 0346053689 scopus 로고    scopus 로고
    • Streamline topologies for integrable vortex motion on a sphere
    • PDNPDT, 0167-2789, 10.1016/S0167-2789(99)00233-X.
    • Kidambi R, Newton PK. Streamline topologies for integrable vortex motion on a sphere. Physica D 2000, 140:95-125. PDNPDT, 0167-2789, 10.1016/S0167-2789(99)00233-X.
    • (2000) Physica D , vol.140 , pp. 95-125
    • Kidambi, R.1    Newton, P.K.2
  • 31
    • 0036592284 scopus 로고    scopus 로고
    • Hyperbolic lines and the stratospheric polar vortex
    • CHAOEH, 1054-1500, 10.1063/1.1480442.
    • Koh T, Legras B. Hyperbolic lines and the stratospheric polar vortex. Chaos 2002, 12:382-394. CHAOEH, 1054-1500, 10.1063/1.1480442.
    • (2002) Chaos , vol.12 , pp. 382-394
    • Koh, T.1    Legras, B.2
  • 33
    • 38449121685 scopus 로고    scopus 로고
    • Chaotic stirring in quasi-turbulent flows
    • PTRMAD, 0962-8428, 10.1098/rsta.2007.0020.
    • Lekien F, Coulliette C. Chaotic stirring in quasi-turbulent flows. Philos. Trans. R. Soc. London, Ser. A 2007, 365:3061-3084. PTRMAD, 0962-8428, 10.1098/rsta.2007.0020.
    • (2007) Philos. Trans. R. Soc. London, Ser. A , vol.365 , pp. 3061-3084
    • Lekien, F.1    Coulliette, C.2
  • 34
    • 14744298827 scopus 로고    scopus 로고
    • Open-boundary modal analysis: Interpolation, extrapolation, and filtering
    • 10.1029/2004JC002323, doi:10.1029/2004JC002323 .
    • Lekien F, Coulliette C, Bank R, Marsden JE. Open-boundary modal analysis: Interpolation, extrapolation, and filtering. J. Geophys. Res., [Oceans] 2004, 109:C12004. 10.1029/2004JC002323, doi:10.1029/2004JC002323 .
    • (2004) J. Geophys. Res., [Oceans] , vol.109
    • Lekien, F.1    Coulliette, C.2    Bank, R.3    Marsden, J.E.4
  • 35
    • 24644448815 scopus 로고    scopus 로고
    • Pollution release tied to invariant manifolds: A case study for the coast of Florida
    • PDNPDT, 0167-2789, 10.1016/j.physd.2005.06.023
    • Lekien F, Coulliette C, Mariano AJ, Ryan EH, Shay LK, Haller G, Marsden JE. Pollution release tied to invariant manifolds: A case study for the coast of Florida. Physica D 2005, 210:1-20. PDNPDT, 0167-2789, 10.1016/j.physd.2005.06.023
    • (2005) Physica D , vol.210 , pp. 1-20
    • Lekien, F.1    Coulliette, C.2    Mariano, A.J.3    Ryan, E.H.4    Shay, L.K.5    Haller, G.6    Marsden, J.E.7
  • 36
    • 53549109733 scopus 로고    scopus 로고
    • Unsteady flow separation on slip boundaries
    • PHFLE6, 1070-6631, 10.1063/1.2923193.
    • Lekien F, Haller G. Unsteady flow separation on slip boundaries. Phys. Fluids 2008, 20:097101. PHFLE6, 1070-6631, 10.1063/1.2923193.
    • (2008) Phys. Fluids , vol.20 , pp. 097101
    • Lekien, F.1    Haller, G.2
  • 37
    • 34250616203 scopus 로고    scopus 로고
    • Lagrangian coherent structures in n-dimensional systems
    • JMAPAQ, 0022-2488, 10.1063/1.2740025see .
    • Lekien F, Shadden SC, Marsden JE. Lagrangian coherent structures in n-dimensional systems. J. Math. Phys. 2007, 48:065404. JMAPAQ, 0022-2488, 10.1063/1.2740025see .
    • (2007) J. Math. Phys. , vol.48 , pp. 065404
    • Lekien, F.1    Shadden, S.C.2    Marsden, J.E.3
  • 38
    • 0035156343 scopus 로고    scopus 로고
    • Relative equilibria of point vortices on the sphere
    • PDNPDT, 0167-2789, 10.1016/S0167-2789(00)00167-6.
    • Lim CC, Montaldi J, Roberts M. Relative equilibria of point vortices on the sphere. Physica D 2001, 148:97-135. PDNPDT, 0167-2789, 10.1016/S0167-2789(00)00167-6.
    • (2001) Physica D , vol.148 , pp. 97-135
    • Lim, C.C.1    Montaldi, J.2    Roberts, M.3
  • 39
    • 52349097687 scopus 로고    scopus 로고
    • A Lagrangian analysis of a two-dimensional airfoil with vortex shedding
    • ZZZZZZ, 1751-8113, 10.1088/1751-8113/41/34/344011.
    • Lipinski D, Cardwell B, Mohseni K. A Lagrangian analysis of a two-dimensional airfoil with vortex shedding. J. Phys. A: Math. Theor. 2008, 41:344011. ZZZZZZ, 1751-8113, 10.1088/1751-8113/41/34/344011.
    • (2008) J. Phys. A: Math. Theor. , vol.41 , pp. 344011
    • Lipinski, D.1    Cardwell, B.2    Mohseni, K.3
  • 40
    • 0001230745 scopus 로고
    • Persistent manifolds are normally hyperbolic
    • TAMTAM, 0002-9947, 10.2307/1997974.
    • Mañé R. Persistent manifolds are normally hyperbolic. Trans. Am. Math. Soc. 1978, 246:261-283. TAMTAM, 0002-9947, 10.2307/1997974.
    • (1978) Trans. Am. Math. Soc. , vol.246 , pp. 261-283
    • Mañé, R.1
  • 41
    • 0001636186 scopus 로고
    • C1-isometric imbeddings
    • ANMAAH, 0003-486X, 10.2307/1969840.
    • Nash J. C1-isometric imbeddings. Ann. Math. 1954, 60:383-396. ANMAAH, 0003-486X, 10.2307/1969840.
    • (1954) Ann. Math. , vol.60 , pp. 383-396
    • Nash, J.1
  • 42
    • 33750057018 scopus 로고    scopus 로고
    • Chaotic advection in the restricted four-vortex problem on a sphere
    • PDNPDT, 0167-2789, 10.1016/j.physd.2006.08.012.
    • Newton PK, Ross SD. Chaotic advection in the restricted four-vortex problem on a sphere. Physica D 2006, 223:36-53. PDNPDT, 0167-2789, 10.1016/j.physd.2006.08.012.
    • (2006) Physica D , vol.223 , pp. 36-53
    • Newton, P.K.1    Ross, S.D.2
  • 43
    • 33750080381 scopus 로고    scopus 로고
    • The N-vortex problem on a rotating sphere. I. Multi-frequency configurations
    • PRLAAZ, 0950-1207, 10.1098/rspa.2005.1566.
    • Newton PK, Shokraneh H. The N-vortex problem on a rotating sphere. I. Multi-frequency configurations. Proc. R. Soc. London, Ser. A 2006, 462:149-169. PRLAAZ, 0950-1207, 10.1098/rspa.2005.1566.
    • (2006) Proc. R. Soc. London, Ser. A , vol.462 , pp. 149-169
    • Newton, P.K.1    Shokraneh, H.2
  • 44
    • 54149096915 scopus 로고    scopus 로고
    • Revisiting the stability of 2D passive biped walking: Local behavior
    • PDNPDT, 0167-2789, 10.1016/j.physd.2008.07.008.
    • Norris JA, Marsh AP, Granata KP, Ross SD. Revisiting the stability of 2D passive biped walking: Local behavior. Physica D 2008, 237:3038-3045. PDNPDT, 0167-2789, 10.1016/j.physd.2008.07.008.
    • (2008) Physica D , vol.237 , pp. 3038-3045
    • Norris, J.A.1    Marsh, A.P.2    Granata, K.P.3    Ross, S.D.4
  • 46
    • 33947376524 scopus 로고    scopus 로고
    • Non-invasive measurement of instantaneous forces during aquatic locomotion: A case study of the bluegill sunfish pectoral fin
    • JEBIAM, 0022-0949, 10.1242/jeb.02692.
    • Peng JF, Dabiri JO, Madden PG, Lauder GV. Non-invasive measurement of instantaneous forces during aquatic locomotion: A case study of the bluegill sunfish pectoral fin. J. Exp. Biol. 2007, 210:685-698. JEBIAM, 0022-0949, 10.1242/jeb.02692.
    • (2007) J. Exp. Biol. , vol.210 , pp. 685-698
    • Peng, J.F.1    Dabiri, J.O.2    Madden, P.G.3    Lauder, G.V.4
  • 47
    • 0000115658 scopus 로고
    • Transport in two-dimensional maps: Concepts, examples, and a comparison of the theory of Rom-Kedar and Wiggins with the Markov model of MacKay, Meiss, Ott, and Percival
    • PDNPDT, 0167-2789, 10.1016/0167-2789(91)90237-4.
    • Rom-Kedar V, Wiggins S. Transport in two-dimensional maps: Concepts, examples, and a comparison of the theory of Rom-Kedar and Wiggins with the Markov model of MacKay, Meiss, Ott, and Percival. Physica D 1991, 51:248-266. PDNPDT, 0167-2789, 10.1016/0167-2789(91)90237-4.
    • (1991) Physica D , vol.51 , pp. 248-266
    • Rom-Kedar, V.1    Wiggins, S.2
  • 48
    • 0025207551 scopus 로고
    • Transport in 2-dimensional maps
    • AVRMAW, 0003-9527, 10.1007/BF00375090.
    • Rom-Kedar V, Wiggins S. Transport in 2-dimensional maps. Arch. Ration. Mech. Anal. 1990, 109:239-298. AVRMAW, 0003-9527, 10.1007/BF00375090.
    • (1990) Arch. Ration. Mech. Anal. , vol.109 , pp. 239-298
    • Rom-Kedar, V.1    Wiggins, S.2
  • 49
    • 33845809706 scopus 로고    scopus 로고
    • The interplanetary transport network
    • AMSCAC, 0003-0996.
    • Ross SD. The interplanetary transport network. Am. Sci. 2006, 94:230-237. AMSCAC, 0003-0996.
    • (2006) Am. Sci. , vol.94 , pp. 230-237
    • Ross, S.D.1
  • 50
    • 77953533812 scopus 로고    scopus 로고
    • Detecting dynamical boundaries from kinematic data in biomechanics
    • CHAOEH, 1054-1500.
    • Ross SD, Tanaka ML, Senatore C. Detecting dynamical boundaries from kinematic data in biomechanics. Chaos 2010, 20:017507. CHAOEH, 1054-1500.
    • (2010) Chaos , vol.20 , pp. 017507
    • Ross, S.D.1    Tanaka, M.L.2    Senatore, C.3
  • 51
    • 33746580666 scopus 로고    scopus 로고
    • Night-time spore deposition of the Fusarium head blight pathogen, Gibberella zeae
    • Schmale DG, Shields EJ, Bergstrom GC. Night-time spore deposition of the Fusarium head blight pathogen, Gibberella zeae. Can. J. Plant Pathol. 2006, 28:100-108.
    • (2006) Can. J. Plant Pathol. , vol.28 , pp. 100-108
    • Schmale, D.G.1    Shields, E.J.2    Bergstrom, G.C.3
  • 52
    • 28244461621 scopus 로고    scopus 로고
    • Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows
    • PDNPDT, 0167-2789, 10.1016/j.physd.2005.10.007.
    • Shadden SC, Lekien F, Marsden JE. Definition and properties of Lagrangian coherent structures from finite-time Lyapunov exponents in two-dimensional aperiodic flows. Physica D 2005, 212:271-304. PDNPDT, 0167-2789, 10.1016/j.physd.2005.10.007.
    • (2005) Physica D , vol.212 , pp. 271-304
    • Shadden, S.C.1    Lekien, F.2    Marsden, J.E.3
  • 53
    • 44649107730 scopus 로고    scopus 로고
    • Characterization of coherent structures in the cardiovascular system
    • ABMECF, 0090-6964, 10.1007/s10439-008-9502-3.
    • Shadden SC, Taylor CA. Characterization of coherent structures in the cardiovascular system. Ann. Biomed. Eng. 2008, 36:1152-1162. ABMECF, 0090-6964, 10.1007/s10439-008-9502-3.
    • (2008) Ann. Biomed. Eng. , vol.36 , pp. 1152-1162
    • Shadden, S.C.1    Taylor, C.A.2
  • 54
    • 17044389735 scopus 로고    scopus 로고
    • ECMWF analyses and forecasts of stratospheric winter polar vortex breakup: September 2002 in the Southern Hemisphere and related events
    • JAHSAK, 0022-4928, 10.1175/JAS-3322.1.
    • Simmons A, Hortal M, Kelly G, McNally A, Untch A, Uppala S. ECMWF analyses and forecasts of stratospheric winter polar vortex breakup: September 2002 in the Southern Hemisphere and related events. J. Atmos. Sci. 2005, 62:668-689. JAHSAK, 0022-4928, 10.1175/JAS-3322.1.
    • (2005) J. Atmos. Sci. , vol.62 , pp. 668-689
    • Simmons, A.1    Hortal, M.2    Kelly, G.3    McNally, A.4    Untch, A.5    Uppala, S.6
  • 55
    • 0001114784 scopus 로고
    • Chaotic particle-transport in time-dependent Rayleigh-Bénard convection
    • PLRAAN, 1050-2947, 10.1103/PhysRevA.38.6280.
    • Solomon TH, Gollub JP. Chaotic particle-transport in time-dependent Rayleigh-Bénard convection. Phys. Rev. A 1988, 38:6280-6286. PLRAAN, 1050-2947, 10.1103/PhysRevA.38.6280.
    • (1988) Phys. Rev. A , vol.38 , pp. 6280-6286
    • Solomon, T.H.1    Gollub, J.P.2
  • 56
    • 0000316484 scopus 로고
    • Passive transport in steady Rayleigh-Bénard convection
    • PHFLE6, 1070-6631, 10.1063/1.866729.
    • Solomon TH, Gollub JP. Passive transport in steady Rayleigh-Bénard convection. Phys. Fluids 1988, 31:1372-1379. PHFLE6, 1070-6631, 10.1063/1.866729.
    • (1988) Phys. Fluids , vol.31 , pp. 1372-1379
    • Solomon, T.H.1    Gollub, J.P.2
  • 57
    • 51849087251 scopus 로고    scopus 로고
    • Particle segregation by Stokes number for small neutrally buoyant spheres in a fluid
    • PLEEE8, 1063-651X, 10.1103/PhysRevE.78.036308.
    • Tallapragada P, Ross SD. Particle segregation by Stokes number for small neutrally buoyant spheres in a fluid. Phys. Rev. E 2008, 78:036308. PLEEE8, 1063-651X, 10.1103/PhysRevE.78.036308.
    • (2008) Phys. Rev. E , vol.78 , pp. 036308
    • Tallapragada, P.1    Ross, S.D.2
  • 58
    • 70349215649 scopus 로고    scopus 로고
    • Separatrices and basins of stability from time series data: An application to biodynamics
    • NODYES, 0924-090X, 10.1007/s11071-008-9457-9.
    • Tanaka ML, Ross SD. Separatrices and basins of stability from time series data: An application to biodynamics. Nonlinear Dyn. 2009, 58:1-21. NODYES, 0924-090X, 10.1007/s11071-008-9457-9.
    • (2009) Nonlinear Dyn. , vol.58 , pp. 1-21
    • Tanaka, M.L.1    Ross, S.D.2
  • 59
    • 67349200708 scopus 로고    scopus 로고
    • Evaluation of the threshold of stability for the human spine
    • JBMCB5, 0021-9290, 10.1016/j.jbiomech.2009.02.008.
    • Tanaka ML, Nussbaum MA, Ross SD. Evaluation of the threshold of stability for the human spine. J. Biomech. 2009, 42:1017-1022. JBMCB5, 0021-9290, 10.1016/j.jbiomech.2009.02.008.
    • (2009) J. Biomech. , vol.42 , pp. 1017-1022
    • Tanaka, M.L.1    Nussbaum, M.A.2    Ross, S.D.3
  • 61
    • 77953582566 scopus 로고    scopus 로고
    • Shepherd, T., Plumb, A., JAHSAK, 0022-4928, The Antarctic Vortex Splitting Event, edited by and, special issue of.
    • J. Atmos. Sci. 2005, 62(3). Shepherd, T., Plumb, A., JAHSAK, 0022-4928, The Antarctic Vortex Splitting Event, edited by and, special issue of
    • (2005) J. Atmos. Sci. , vol.62 , Issue.3
  • 62
    • 0000024516 scopus 로고
    • The self-intersections of a smooth n-manifold in 2n-space
    • ANMAAH, 0003-486X, 10.2307/1969265.
    • Whitney H. The self-intersections of a smooth n-manifold in 2n-space. Ann. Math. 1944, 45:220-293. ANMAAH, 0003-486X, 10.2307/1969265.
    • (1944) Ann. Math. , vol.45 , pp. 220-293
    • Whitney, H.1


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