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Unformatted text preview: of x . Next increment a by . 01 , choose a new random starting point x , and do the same, and so on and so forth until you reach a = 4 . . ( a is plotted along the x-axis). One would assume that the non-wandering points for successive values of a should look similar. Do they? In case you nd something interesting happening in a certain range for a , zoom into that range and change a by smaller increments. 2. (50 pts) Consider the 2-D phase space, R 2 and the particular instantiation of the Henon-map given by x n +1 = 1 . 245-x 2 n + 0 . 3 y n y n +1 = x n Find and report a 2-D region in R 2 that gets mapped back into itself. Now plot the attracting set of the map for points beginning in this region. 1...
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- Spring '08