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Geometry of repeated measurements in chaotic systems
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10.1063/1.3298244
/content/aip/journal/chaos/20/1/10.1063/1.3298244
http://aip.metastore.ingenta.com/content/aip/journal/chaos/20/1/10.1063/1.3298244

Figures

Image of FIG. 1.
FIG. 1.

Piecewise linear map with invariant distribution {2/3,1/3} used as a first example.

Image of FIG. 2.
FIG. 2.

Schematic of the three partitions used for the Bernoulli map. Partitions (a)–(c) are shown as described and used in the text.

Image of FIG. 3.
FIG. 3.

Schematic of the three partitions used for the baker’s map. Partitions (a)–(c) are shown as described and used in the text.

Image of FIG. 4.
FIG. 4.

(a) Projection of the Rössler attractor from data rotated appropriately; joint probability matrices for (b) first minimum, (c) first maximum, and (d) second minimum of the mutual information function. (Bottom of the figure) Actual mutual information function showing the maxima and minima (enhanced online). [URL: http://dx.doi.org/10.1063/1.3298244.1]10.1063/1.3298244.1

Image of FIG. 5.
FIG. 5.

(a) Projection of the Lorenz attractor from data rotated appropriately; joint probability matrices for (b) first minimum, (c) first maximum, and (d) second minimum of the mutual information function. (Bottom of the figure) Actual mutual information function showing the maxima and minima (enhanced online). [URL: http://dx.doi.org/10.1063/1.3298244.2]10.1063/1.3298244.2

Image of FIG. 6.
FIG. 6.

Three-dimensional joint probability matrix for the (a) Rössler and (b) Lorenz time series using variable and two of its delay coordinates.

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/content/aip/journal/chaos/20/1/10.1063/1.3298244
2010-01-26
2014-04-16
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752b84549af89a08dbdd7fdb8b9568b5 journal.articlezxybnytfddd
Scitation: Geometry of repeated measurements in chaotic systems
http://aip.metastore.ingenta.com/content/aip/journal/chaos/20/1/10.1063/1.3298244
10.1063/1.3298244
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