by Jaqueline Burm and Paul Fishback
This article originally appeared in:
Mathematics Magazine
February, 2001
Subject classification(s):
Differential & Difference Equations | Dynamical Systems | ChaosApplicable Course(s):
3.6 Differential Equations | 4.15 Advanced Differential EquationsThe authors study period-\(3\) orbits of the logistic function \( f_r(x)=rx(1-x)\), and provide another derivation of the fact that \(r_0=1+\sqrt {8}\), where \( r_0\) is the smallest positive value of \(r\) for which \(f_r^3(x)=x\) has a solution \(x_0\) which is not a fixed point of \(f_r\).
A pdf copy of the article can be viewed by clicking below. Since the copy is a faithful reproduction of the actual journal pages, the article may not begin at the top of the first page.
To open this file please click here.