SRB measure

Fractals and Chaos

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The image is a visualization of the invariant SRB measure of a chaotic torus map. If we regard the torus as the plane modulo of a rectangular lattice, we can lift the image to the plane and so form a repeating patter. We show a portion of the repeating pattern in the image. The colors reflect the density of the invariant measure on the attractor.


The lifted image is of type pmm (rectangular symmetry).

 


The lifted image is of type p3m1 (triangular symmetry).

Author Institutional AffiliationDepartment of Mathematics University of Houston
Author Email
Author Postal MailHouston TX 77204-3008
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