2. a) Use graphical method to find fixed points and period two points of the Logistic map: Xk+1-f(%)-r Xk (1 -X) and demonstrate their stability/instability for F1, 1.5 and 3. (See 1.1 from the attached file titled: Logistic Map Period Doubling) You can use Matlab to obtain graphs of the map f(x) and second iteration of the map f(X). 2 b) Determine those values of r for which both fixed points of the logistic map are hyperbolic c) Determine whether (5- 5)8; (5 + 5)/8) is period 2 orbit of the logistic map. 2. a) Use graphical method to find fixed points and period two points of the Logistic map: Xk+1-f(%)-r Xk (1 -X) and demonstrate their stability/instability for F1, 1.5 and 3. (See 1.1 from the attached file titled: Logistic Map Period Doubling) You can use Matlab to obtain graphs of the map f(x) and second iteration of the map f(X). 2 b) Determine those values of r for which both fixed points of the logistic map are hyperbolic c) Determine whether (5- 5)8; (5 + 5)/8) is period 2 orbit of the logistic map