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Disclaimer: This question is cross posted on Math.SE because I don't know which site is more appropriate for this question.

In Chaosbook, at page 56, it is asked to find the thickness of Rössler strange attractor, by some means. However, up to this point, the book have only defined the thickness of an Henon map, as the coefficient of the $x_{n-1}$ term in the evolution of a specific sequence.

Question:

What is the general definition of thickness of a strange attractor?

Edit: I'm using the version 13.5 of the book (the unstable version).

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  • $\begingroup$ Could you link to the specific version of the Chaos Book you're using? I fail to find the exercise you're talking about. $\endgroup$
    – stafusa
    Commented Jun 6, 2019 at 10:37
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    $\begingroup$ @stafusa because of the way how the website is designed, I cannot give a direct link to the book, but in the home page of the book, open unstable -> experimental page, and you should find the version 13.5 of the book (the only version on that page). I'm using that one. $\endgroup$
    – Our
    Commented Jun 6, 2019 at 10:54

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Thickness isn't a technical term here, but rather it's being used in its everyday sense.

So, you could simply take the lobe of the attractor close to the plane $x,y$ and consider a Poincaré section (or even a projection) perpendicular to that plane to see why the attractor is described as a stretched and folded ribbon.

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