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Sharkovskii's order and the stability of periodic points of maps of the interval
Published online by Cambridge University Press: 09 April 2009
Abstract
Let f be a Cr (r ≥ 0) map from the interval [0, 1] into itself and m be a positive integer. This paper gives a sufficient and necessary condition under which the set of periodic points of period m disappears after a certain small Cr-perturbation.
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- Copyright © Australian Mathematical Society 2000
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