Chaos is the way the dice of randomness are loaded, paraphrasing Gleick's quote of Joseph Ford in Chaos.
I find this to be a book that I will probably never realy finish, like Godel,Escher, Bach by Douglas Hofstadtler.
I inquired with a friend who met his wife at a Chaos convention and just retired from an illustrious career as a math professor. Will advise if he offers further enlightenment.
This is making my hair hurt so I am going to go randomize some particals of IMR4064 and hopefully produce some self-similar groups.
Gleick work is written at the layman level to introduce beginners to the concepts. If your really interested in self-organization get Herman Hakens book.
Your logic or Appeal to Authority is invalid.
While doing my post-doc work under Prof. Keener, UofU math depart. , he clearly defined the differences. Keener did the non-linear math work establishing the three dimension vectors for electrical circuits used in pace makers.
His book. Mathematical Physiology comes in 2 books and is put out by Springer.
The study material"
Ergodic Theory, Analysis and Efficient Simulation of Dynamical Sysems. Springer
Elements of Applie Bifurcation Theory. Springer
Dynamics and Bifurcations. Hale and Kocak. Springer.
Nonlinear System. Drazen. Cambridge texts in applied math.
Solitokns in Field Theory and Nonlinear Analysis. Springer
get back to me when you get caught up