Information about the Third blow-up of the Overflow Map

Information about the Third blow-up of the Overflow Map

This blow up shows magenta circles surrounding the `invariant curve' mentioned in Pete Ashwin's paper, and the red `invariant curve' I found.
      A better candidate for a probably invariant curve would be in the band of near-invariant curves seen in this figure. (They are blue, purple, black/red, and green). The black/red pair are two different initial conditions of the form (x, y) and (-x, -y), and the black has over-written some of the red points at this resolution.

To be honest, this figure is not a blow-up of the `second blow up.' It is a blow-up of the central island.

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