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Logistic map
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== Occurrences and similar systems == * In a toy model for discrete laser dynamics: <math> x \rightarrow G x (1 - \tanh (x))</math>, where <math>x</math> stands for electric field amplitude, <math>G</math><ref name="Okulov, A Yu 1986">{{cite journal |last1=Okulov |first1=A Yu |last2=Oraevskiĭ |first2=A N |year=1986 |title=Space–temporal behavior of a light pulse propagating in a nonlinear nondispersive medium |journal=J. Opt. Soc. Am. B |volume=3 |issue=5 |pages=741–746 |bibcode=1986JOSAB...3..741O |doi=10.1364/JOSAB.3.000741 |s2cid=124347430}}</ref> is laser gain as bifurcation parameter. * [[Hofstadter sequence]]s are an example of one dimensional quasi-random, [[aperiodic]], chaotic sequences again defined by recursion, a very special case is the logistic map
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