5. Determine the type of the cycle of period 2 for the function F ( x ) = – x 3 . 6. Let D ( x )…

5.           Determine the type of the cycle of period 2 for the function F(x) =  –x3.

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5. Determine the type of the cycle of period 2 for the function F ( x ) = – x 3 . 6. Let D ( x )…
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6.           Let D(x) denote  the  doubling  function  given  by  2if  0  ::  x – 1 if  1/2  ::  ::  1.  Show  that  all  of  the  cycles  are  necessarily repelling.

 

7.           Determine the k-value for which the logistic function undergoesperiod doubling bifurcation at the fixed point.