Discrete Fixed Point
A fixed point of is a value with .
Definition 5.21 (Fixed Point of 1st Order Discrete Equation)
A fixed point of a 1st order discrete equation is a value of such that , i.e. .
Stability
Writing near a fixed point gives . Thus is stable if and unstable if .
Related
Stated in
- Definition 5.21 (Fixed Point of 1st Order Discrete Equation)§5.5 Fixed Points in Discrete Equations