The qualitative analysis of a difference equation of population growth |
| |
| Authors: | Prof S Smale Prof R F Williams |
| |
| Institution: | (1) Lycée Anna de Noailles, 2, Avenue Anna de Noailles, 74500 Evian les Bains, France;(2) Institut Fourier, Université Grenoble I, BP 74, 38402 Saint-Martin d Hères, France |
| |
| Abstract: | The difference equation f
b
:0,1]–0,1] defined by f
b
(x)=b x(1–x) is studied. In particular complete qualitative information is obtained for the parameter value b=3.83. For example the number of fixed points of (f
b
)i is given by |
Ni = 1 + ( \frac1 + ?5 2 )i + ( \frac1 - ?5 2 )iN_i = 1 + \left( {\frac{{1 + \sqrt 5 }}{2}} \right)^i + \left( {\frac{{1 - \sqrt 5 }}{2}} \right)^i |
| |
| Keywords: | |
| 本文献已被 SpringerLink 等数据库收录！ |
|
|
