Hi there.. Had a quick question about fixed points for 2d maps.any help would be appreciated
Consider the 2D quadratic map f (x) = x2 + b and answer the following questions
(a) For b = 0.5,0.25,−1,−1.35, and −1.38 find all fixed points (including sources), their periods, their basins of attraction, and describe their stability.
Taking b=0.5, I'd get x = x2 + 0.5.. hence, 0 = x2 - x + 0.5 .. However, this has complex roots so does that mean no fixed point exists?
Consider the 2D quadratic map f (x) = x2 + b and answer the following questions
(a) For b = 0.5,0.25,−1,−1.35, and −1.38 find all fixed points (including sources), their periods, their basins of attraction, and describe their stability.
Taking b=0.5, I'd get x = x2 + 0.5.. hence, 0 = x2 - x + 0.5 .. However, this has complex roots so does that mean no fixed point exists?
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