Lyapunov_fractal Lyapunov_fractal

Lyapunov fractal - Definition and Overview

Standard Lyapunov logistic fractal with iteration sequence AB
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Standard Lyapunov logistic fractal with iteration sequence AB
Generalized Lyapunov logistic fractal with iteration sequence AABAB
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Generalized Lyapunov logistic fractal with iteration sequence AABAB

In mathematics Lyapunov fractals (also known as Markus-Lyapunov fractals) are bifurcational fractals derived from an extension of the logistic map in which the degree of the growth of the population, r, periodically switches between two values a and b.

A Lyapunov fractal is constructed by mapping the regions of stability and chaotic behaviour in the a-b plane for a given periodic sequence of as and bs.

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