5.3 Homoclinic
Tangling
(like that foreseen by
 Poincare in 1887)
•
•Once we start driving, the phase portrait is in 3D
•
•We must view the basin in a stroboscopic section
•
•The hill-top solution still has an inset and an outset
•
•Solutions step along these lines (unlike the flow in 5.2)
•
•As the driving increases, the inset and outset get tangled
•
•They intersect one another an infinite number of times
•
•The boundary of the safe basin becomes fractal        @