(a) Let f: R R be a smooth function. Let p be a periodic point...
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(a) Let f: R → R be a smooth function. Let p be a periodic point with multiplier 0. Prove that there is some point in the orbit of p that is a critical point. (b) Use this fact to find a member of the logistic family that has an attracting 3-cycle. Use Wolfram Alpha. (a) Let f: R → R be a smooth function. Let p be a periodic point with multiplier 0. Prove that there is some point in the orbit of p that is a critical point. (b) Use this fact to find a member of the logistic family that has an attracting 3-cycle. Use Wolfram Alpha.
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a Since p is a periodic point with multiplier 0 the derivativ... View the full answer
Related Book For
Income Tax Fundamentals 2013
ISBN: 9781285586618
31st Edition
Authors: Gerald E. Whittenburg, Martha Altus Buller, Steven L Gill
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