For the map f(x) = 2x mod 1, provide an example of a point x =...

 

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For the map f(x) = 2x mod 1, provide an example of a point x = [0, 1] that satisfies each of the following (a) x has period 5 (also rewrite this as a rational number) (b) x has the property that f 2 (x) is in a 3 cycle, but f(x) is not (also rewrite this as a rational number) (c) x has an orbit whose accumulation set is given by (.1, .11, .111, .1111, ...) For the map f(x) = 2x mod 1, provide an example of a point x = [0, 1] that satisfies each of the following (a) x has period 5 (also rewrite this as a rational number) (b) x has the property that f 2 (x) is in a 3 cycle, but f(x) is not (also rewrite this as a rational number) (c) x has an orbit whose accumulation set is given by (.1, .11, .111, .1111, ...)

Answer rating: 100% (QA)

a For x to have period 5 we can choose x 02 or equivalently x 15 b For x to have the property that f... View the full answer