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Logistic map
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== Relation to logistic ordinary differential equation == <!-- TODO add about poincare map ?? ---> The logistic map exhibits numerous characteristics of both periodic and chaotic solutions, whereas the logistic ordinary differential equation (ODE) exhibits regular solutions, commonly referred to as the S-shaped sigmoid function. The logistic map can be seen as the discrete counterpart of the logistic ODE, and their correlation has been extensively discussed in literature.<ref>{{Cite journal |last1=Shen |first1=Bo-Wen |last2=Pielke |first2=Roger A. |last3=Zeng |first3=Xubin |date=2023-08-12 |title=The 50th Anniversary of the Metaphorical Butterfly Effect since Lorenz (1972): Multistability, Multiscale Predictability, and Sensitivity in Numerical Models |journal=Atmosphere |language=en |volume=14 |issue=8 |pages=1279 |doi=10.3390/atmos14081279 |doi-access=free |bibcode=2023Atmos..14.1279S |issn=2073-4433}}</ref>
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