Show that the 2-cycle of the quadratic map is stable if 3/4<5/4. The quadratic map is x(n+1)=x(n)^2-c.© BrainMass Inc. brainmass.com December 24, 2021, 4:58 pm ad1c9bdddf
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Show that the 2-cycle of the quadratic map is stable if ¾ < c < 5/4. The quadratic map is x = x - c.
Solution: A 2-cycle exists if and only if there are two points and such that and . Equivalently, such a must satisfy , where . Hence is a fixed point of the ...
The expert shows that the two-cycle of a quadratic map is stable if 3.4<5/4. The quadratic map functions are provided.