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.(a)
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)
Computer experiment 6.2 (p.238) [use many different ICs p to quantify the average rate of convergence for mn]
PAGE 168 FIG 4.10
PAGE 169 FIG 4.11
PAGE 179 FIG 4.16
NO PLAGIARISM
SEND ME ONE BY ONE WHEN IT’S DONE
I have 4 matlab codes
