Chaotic Math

(6 points. 3 points each) For the map f(:c) = 1 4|x| on 1R. let 0 be the set of points for which the trajectory remains bounded for all forward iterates. i.e. the invariant set. C is a Cantor set. (a) Describe the set and (b) calculate its length and dimension. Note: We usually consider only the unit interval, here you must consider a slightly different interval