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Animated Logistic Maps of Chaotic Systems in R
- chollida1 11y agoAs someone whose spent way too long and way too much time in over my head with non linear systems ( this area has been trendy and fruitful in the quantitative finance community since hte late 90's) I can second the post's book recommendation.... http://www.amazon.com/Nonlinear-Dynamics-And-Chaos-Applications/dp/0738204536 http://www.amazon.com/Nonlinear-Dynamics-And-Chaos-Applicati... In fact everything by that author is great, buy and read it all:) http://www.amazon.com/Steven-H.-Strogatz/e/B001KHB290/ref=dp_byline_cont_book_1 http://www.amazon.com/Steven-H.-Strogatz/e/B001KHB290/ref=dp... Just make sure you've read up on your differential equations before you start:) This isn't a topic for someone without a strong background in the mathematics! Unfortunately I have yet to find a good introductory course, video, book, pdf....anything for this topic. I had to jump in with a specific model in mind and keep banging away until I iterated my way towards the solution. Suggestions for introductory material are welcome!!!
- catbird 11y ago"A logistic map is a diagram that’s often used to describe the state of a nonlinear, dynamical system." What? No. The logistic map is a function (a mapping from input to output variable) that describes how the state of a particular dynamical system evolves from one timestep to the next. It's usually used as an example for a system that looks simple but displays chaotic behavior. The diagram they show is really called a "bifurcation diagram" and it represents how the equilibria (stable points of the system) change as a parameter is varied.
- techrsr 11y agoThanks. I've updated the post. Using Strogatz's videos to teach myself the subject.