#ATTENDANCE QUIZ FOR LECTURE 9 of Dr. Z.'s Math336 Rutgers University #Email ShaloshBEkhad@gmail.com #Subject: p9 #with an attachment called #p9NikitaJohn.txt #(e.g. p9DoronZeilberger.txt) #Right after attending the lecture, but no later than 4:00pm that day Name: Nikita John 1. Using Maple, find (i) fixed points of the mapping x->3.6*x if it exists (ii) stable fixed points I used M9.txt to find the fixed points and stable fixed points of the mapping given, and this is what I got: Fixed Points: 0 Stable Fixed Points: no stable fixed points exist (0 is unstable) 2. What other constant did Feigenbaum discover, and what is its significance? The other constant Feigenbaum discovered is called Feigenbaum's alpha constant. Its the ratio between the width of a tine and the width of one of its two subtines, not counted the tine closes to the fold