Now you have seriously outstripped my mathematical understanding, I have always been a bit of an outsider on this, interested but definitely an onlooker. I seem to remember the graphs you are talking about and also fractal diagrams that end up looking very like some occurances in nature and that fascinates me...the interconnectedness of everything. I am re-reading a book, The Collapse of Chaos at the moment, its great: Chaos & Complexity for Dummies (like me). There is a quote in the beginning which made me think of you because a tenous connection to fluid dynamics, which you mentioned in earlier text:
"The next great awakening of human intellect may well produce a method of understanding the qualitative content of equations. Today we cannot. Today we cannot see that the water-flow equations contain such things as the barber pole structure of turbulence that one sees between rotating cylinders. Today we cannot see whether Shrodinger's equation contains frogs, musical composers, or morality - or whether it does not." - Richard P Feynman
