This figure is a rather powerful blow-up. The discontinuty at x = -1
is shown as the diagonal line at the left.
Window: -1.127 < xx < -1.107, .492 < y < .508,
where xx = x - a/2 y.
Color i.c. millions of iterations Comments
green (-1, .5105) 210 Orbit ranges over whole rhombus.
brown (-1, .509) 13 Eventually escapes to join green.
magenta (-.984149,.0742484) 1 Pete's orbit (b) in the paper.
red (-.99991472, .5061287) 1 Close to an invariant curve.
cyan (-1, .5058) 51
dark blue (-1, .505) 10
blue (-.99860194,.50405996) 2 note the three-fold pattern
salmon (-1, .503) 20
purple (-1, .4995) 5
Plus, there are many circular orbits that are not listed here.