Volterra-Lokta Systems

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Article #269

#269

From: Scott Ferguson
Date: Mon, 21 Dec 1992 15:32

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I've been trying to get an image of the fractal described on pages 125-127
in "The beauty of Fractals" book. I can get the correct basin of attraction
as shown in map 82 on page 118 but I cannot work out how to get the exact
internal detail of the basin. I have something close but its not the same.

It may hinge on my understanding of how to calculate when a point has
arrived on the `invariant circle' or it could be that it takes a lot of
iterations for this fractal to converge. Also I'm not sure what the difference
is between the attractors represented by a periodic orbit and an invariant
circle.

Does anyone have any suggestions?

                                      Scott Ferguson

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Subject: Volterra-Lokta Systems
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