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  3. 1 let p be a fixed point of a nonlinear...

Question: 1 let p be a fixed point of a nonlinear...

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1, Let p be a fixed point of a nonlinear map f. Given an ε > 0, find a geometric condition on f under which all points in N (p) are in the basin of p. Use cobweb plot analysis to explain your reasoning. Hint: By geometric condition, I mean some constraint on f and/or f in the neighborhood of p. One example condition that you can improve upon Vr E (p- e,p),f(x) > & f(x) < p Vx E (p.p+e), f(x) < x & f(x) > p
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