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File:A Trajectory Through Phase Space in a Lorenz Attractor.gif

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A_Trajectory_Through_Phase_Space_in_a_Lorenz_Attractor.gif (200 × 200 pixels, file size: 1.62 MB, MIME type: image/gif, looped, 990 frames, 30 s)

Summary

Description
English: A sample trajectory through phase space is plotted near a Lorenz attractor with σ = 10, ρ = 28, β = 8/3. The color of the solution fades from black to blue as time progresses, and the black dot shows a particle moving along the solution in time. Initial conditions: x(0) = 0, y(0) = 2, z(0) = 20. 0 < t < 35. The 3-dimensional trajectory {x(t), y(t), z(t)} is shown from different angles to demonstrate its structure.
Date
Source Own work
Author Dan Quinn

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This diagram was created with Mathematica by n.

Captions

A sample solution in the Lorenz attractor when ρ = 28, σ = 10, and β = 8/3

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2 November 2013

image/gif

d5125e528fb0db73da0aa98a5539418ad749b5c8

1,699,950 byte

29.7000000000004 second

200 pixel

200 pixel

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Date/TimeThumbnailDimensionsUserComment
current23:15, 3 November 2013Thumbnail for version as of 23:15, 3 November 2013200 × 200 (1.62 MB)DanbquinnUsed a different resampling method to improve sharpness.
22:39, 3 November 2013Thumbnail for version as of 22:39, 3 November 2013250 × 250 (2.17 MB)DanbquinnResolution was made smaller to facilitate better thumbnails.
01:44, 3 November 2013Thumbnail for version as of 01:44, 3 November 2013400 × 400 (3.07 MB)DanbquinnUser created page with UploadWizard

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