The lives of period-3 orbits for some quadratic polynomials
classification
🧮 math.DS
keywords
livesorbitsperiod-3polynomialsquadraticconsiderdifferentfamilies
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In this note, we consider the following two families of quadratic polynomials $S_{a,c}(x) = a - cx^2$ and $T_{a,c}(x) = a - c(1 + x^2)$ and show that their respective period-3 orbits live very different lives.
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