I have 4 problems needs to be done on Matlab
– Please have all 4 codes in a pdf with the code and graph
INSTRUCTIONS
Write a code to produce the Mandelbrot set and reproduce Fig 4.10 (hint: suppose that if |z|>2 then the orbit diverges to infinity).
Write a code to produce Julia sets and reproduce Fig 4.11.
Write a code to compute the box-counting dimension and compute it for the Hénon map. (Show your plot corresponding to Fig. 4.16 including the fitted line. To fit the line you can use polyfit in Matlab [An example to use polyfit can be found in this file: fit.m])
Write a code to compute the correlation dimension and compute it for the Hénon map. (show your plot of C(r) vs r and the fitted line)
Extra/Grad Credit*: Computer experiment 6.2 (p.238) [use many different ICs p to quantify the average rate of convergence for mn ] Do please
Page 168 Fig. 4.10
Page169 Figure 4.11
Page 179 Fig. 4.16
MathLab Question
