a = 0.2:
a = 0.2, b = 0.8
   
a = 0.2, b = 0.9
   
a = 0.2, b = 0.95
   
a = 0.2, b = 1.0
   
a = 0.2, b = 1.02
   
a = 0.2, b = 1.05
   
a = 0.2, b = 1.07
   
a = 0.2, b = 1.08
   
a = 0.2, b = 1.09
   
a = 0.2, b = 1.1
   
a = 0.2, b = 1.2
a = 0.49:
a = 0.49, b = 0.5
   
a = 0.49, b = 0.6
   
a = 0.49, b = 0.8
   
a = 0.49, b = 0.8
   
a = 0.49, b = 0.8
   
a = 0.49, b = 0.92
   
a = 0.49, b = 0.92
   
a = 0.49, b = 0.98
   
a = 0.49, b = 0.99
   
a = 0.49, b = 1.1
   
various a > 0.49:
a = 0.491, b = 0.593
   
a = 0.499, b = 0.951
   
a = 0.51, b = 0.93
   
a = 0.535, b = 0.95
   
a = 0.6, b = 0.95
   
a = 0.69, b = 0.98
   
a = 0.7, b = 0.4
   
a = 0.701, b = 0.4
   
a = 0.9, b = 0.3
   
a = 0.9, b = 0.7
   
a = 0.91, b = 0.7
   
Another page about the Whitley Map attractors is from Spring 2017.