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Lagrangian coherent structures and the smallest finite-time Lyapunov exponent
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10.1063/1.3579597
/content/aip/journal/chaos/21/2/10.1063/1.3579597
http://aip.metastore.ingenta.com/content/aip/journal/chaos/21/2/10.1063/1.3579597
View: Figures

Figures

Image of FIG. 1.
FIG. 1.

(Color online) (a) Unstable manifold (attracting LCS) of the forced Duffing equation from a standard backward FTLE calculation (b) same from a forward FTLE calculation using formula (15). (c) Stable manifold (repelling LCS) for the same system from a standard forward FTLE calculation (d) same from a backward FTLE calculation using formula (15).

Image of FIG. 2.
FIG. 2.

(Color online) (a) Unstable manifold (attracting LCS) of the forced-damped Duffing equation from a standard backward FTLE calculation (b) same from a forward FTLE calculation using (14) (c) same as (b) but without interpolating over a regular grid of positions.

Image of FIG. 3.
FIG. 3.

(Color online) (a) Unstable manifold (attracting LCS) of the forced-damped Duffing–van der Pol oscillator, obtained from a standard backward FTLE calculation. (b) The same attracting LCS obtained from a forward FTLE calculation using formula (14).

Image of FIG. 4.
FIG. 4.

(Color online) (a) Attracting LCSs for the experimentally measured flow field around a jellyfish from the largest FTLE field with linear interpolation in time and space, and grid resolution . (b) Attracting LCSs obtained from Eq. (7) for step size cubic interpolation in time and space, and grid resolution (c) Attracting LCSs obtained from Eq. (7) for, but with cubic interpolation in time and space, and resolution (d) Attracting LCSs obtained from Eq. (7) for cubic interpolation in time and space, resolution (e) Attracting LCSs obtained from Eq. (7) for linear interpolation in time and space, resolution (f) Attracting LCSs obtained from Eq. (7) for linear interpolation in time and space, resolution

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/content/aip/journal/chaos/21/2/10.1063/1.3579597
2011-05-10
2014-04-20
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Lagrangian coherent structures and the smallest finite-time Lyapunov exponent
http://aip.metastore.ingenta.com/content/aip/journal/chaos/21/2/10.1063/1.3579597
10.1063/1.3579597
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