Timeline for Non-linear 1st order difference equation
Current License: CC BY-SA 3.0
3 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Aug 19, 2013 at 8:16 | comment | added | user25199 | For the fixed points (first paragraph of my answer), you have the right approach. For the periodic orbits (second paragraph), if a critical point is periodic it is superstable (has zero derivative), and there will be a range of parameters near it where there is a stable periodic orbit. But the exact location is a solution of a high degree polynomial and so more difficult to analyse exactly. | |
| Aug 5, 2013 at 9:26 | comment | added | user88595 | Wouldn't you need to cubic root the RHS and then take the derivative to analyse whether it's stable or not? | |
| Jul 31, 2013 at 15:57 | history | answered | user25199 | CC BY-SA 3.0 |