Timeline for Global stability for dynamical systems in $R^n$
Current License: CC BY-SA 2.5
9 events
| when toggle format | what | by | license | comment | |
|---|---|---|---|---|---|
| Oct 3, 2017 at 17:24 | comment | added | Germain | I know this is a 7 years old question. I am recently facing a similar issue with my research problem. Can anyone help me here? A GENERALIZATION OF BENDIXSON’S CRITERION MICHAL FECKAN , may give some idea about the development on this topic. | |
| S May 19, 2010 at 6:58 | vote | accept | Guy Katriel | ||
| May 19, 2010 at 6:58 | |||||
| May 19, 2010 at 6:57 | vote | accept | Guy Katriel | ||
| S May 19, 2010 at 6:58 | |||||
| May 19, 2010 at 6:57 | vote | accept | Guy Katriel | ||
| May 19, 2010 at 6:57 | |||||
| May 18, 2010 at 23:44 | answer | added | Martin M. W. | timeline score: 4 | |
| May 18, 2010 at 20:36 | comment | added | Guy Katriel | Locally asymptotically stable means that there is a neighborhood of the stationary point which such that starting in this neighborhood you approach the stationary point as $t\rightarrow \infty$. Globally asymptotically stable means that this holds for starting from any point. The stationary point must be in the absorbing ball because if it were outside it, when you start at the stationary point you would remain there, contradicting the definition of absorbing ball. | |
| May 18, 2010 at 19:27 | comment | added | Willie Wong | what do you mean by locally asymptotically stable as opposed to globally stable? Also is the stationary point assumed to be inside the absorbing ball? | |
| May 18, 2010 at 19:26 | answer | added | coudy | timeline score: 3 | |
| May 18, 2010 at 18:36 | history | asked | Guy Katriel | CC BY-SA 2.5 |