Reflect on professor Jacobson's lecture.

(“Chaos” Google online image. 7 April, 2010)

I learned about Chaos Theory and Dynamical Systems. I think the most interesting is history of chaos. The histories of chaos are Henri pinnacle and the three problems, Alexander sharkovskii and the Russians in the 1950s and Eward Lovenz artificial weather (The butterfly effect) and Robert Devaney definition of chaos sensitivity, recurrence and transitivity. I was surprised that the dynamical system. For function of the form y=x²-c the parameter c is the main thing is determining the behavior of the sequence. As the parameter increase the behavior becomes more complicated and it happens the same way for almost every dynamical system. Also, the lecture relates to this class the concept of chaos theory, and I have more information and understand of chaos through this lecture.