We consider planar asymptotically autonomous ordinary differential equations and their limit equations. We show that thew-limit sets of an asymptotically autonomous equation get very close to having the same properties (of Poincare/Bendixson type) as the Γ-limit sets of the corresponding limit equation provided that the non-autonomous perturbation decreases to 0 fast enough as time tends to infinity.
|Original language||English (US)|
|Number of pages||16|
|Journal||Differential and Integral Equations|
|State||Published - Nov 1994|
ASJC Scopus subject areas
- Applied Mathematics