3. This is based on the Henon map in Problem 4.20. It originated in an astrophysical context, and has very nice properti

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3 This Is Based On The Henon Map In Problem 4 20 It Originated In An Astrophysical Context And Has Very Nice Properti 1 (28.53 KiB) Viewed 22 times

3. This is based on the Henon map in Problem 4.20. It originated in an astrophysical context, and has very nice properties: In+1 = Yn +1 -ar? and = Yn+1 = barn, where we will use a = 2 and b = a) Starting with 20 = 0 = yo carry out the first 100 iterations and plot them. (If you are using a computer you can go up to 1000 points it is equally easy as doing 100 points) b)Find the fixed points of this map by using the equation In+1 = r* and Yn+1 = Yn = y. Note that unlike the logistic map, the fixed point now specifies the values of both c* y*. =