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|Title:||A note on chaotic unimodal maps and applications|
|Source:||Zhou, C.T., He, X.T., Yu, M.Y., Chew, L.Y., Wang, X.G. (2006). A note on chaotic unimodal maps and applications. Chaos 16 (3) : -. ScholarBank@NUS Repository. https://doi.org/10.1063/1.2218048|
|Abstract:||Based on the word-lift technique of symbolic dynamics of one-dimensional unimodal maps, we investigate the relation between chaotic kneading sequences and linear maximum-length shift-register sequences. Theoretical and numerical evidence that the set of the maximum-length shift-register sequences is a subset of the set of the universal sequence of one-dimensional chaotic unimodal maps is given. By stabilizing unstable periodic orbits on superstable periodic orbits, we also develop techniques to control the generation of long binary sequences. © 2006 American Institute of Physics.|
|Appears in Collections:||Staff Publications|
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