Paper 2, Section I, A

Find the constant solutions (those with $u_{n+1}=u_{n}$ ) of the discrete equation

$u_{n+1}=\frac{1}{2} u_{n}\left(1+u_{n}\right)$

and determine their stability.

*Typos? Please submit corrections to this page on GitHub.*

Paper 2, Section I, A

Find the constant solutions (those with $u_{n+1}=u_{n}$ ) of the discrete equation

$u_{n+1}=\frac{1}{2} u_{n}\left(1+u_{n}\right)$

and determine their stability.