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The Henon map is the two dimensional analogue of the logistic equation H(x,y) = (x^2 - a*y + c, x), where a and c are constants. The picture shows a portion of the locus of points where the rate of escape of a point under iteration is the same going forwards and backwards (using the inverse map). The picture is described further in Meloon's Summer Institute report, 1993.
Henon Overlap by Brian Meloon
Image created: summer, 1993
Copyright © summer, 1993 by The Geometry Center, Univerity of Minnesota. All rights reserved.
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Created: Sat May 22 23:17:49 CDT 1999
Last modified: Sat May 22 23:17:49 CDT 1999