One may expect that if one adds a vector field which points toward the origin to the right-hand side of a first-order system of ordinary differential equations for which the origin is globally stable, then the origin is globally stable for the new system as well. The purpose of this note is to present an example which shows that this apparently obvious statement is, in fact, false.
|Original language||English (US)|
|Number of pages||4|
|Journal||Mathematical Methods in the Applied Sciences|
|State||Published - Oct 1 2004|
- Inward perturbation
- Linear perturbation