Abstract
We present a couple of examples where the solutions of asymptotically autonomous differential equations behave quite differently from the solutions of the corresponding limit equations. Nevertheless a Poincaré Bendixson type limit set trichotomy can be shown in the plane.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 351-380 |
| Number of pages | 30 |
| Journal | Rocky Mountain Journal of Mathematics |
| Volume | 24 |
| Issue number | 1 |
| DOIs | |
| State | Published - 1993 |
Keywords
- Asymptotically autonomous
- Butler and McGehee Lemma
- Chemostat
- Closed (periodic) orbits
- Cyclical chains
- Differential equations
- Domain of attraction
- Dulac (divergence) criterion
- Dynamical systems
- Epidemics
- Equilibria
- Global stability
- Gradostat
- Limit equations
- Limit set trichotomy
- Poincaré & bendixson theorem
- Undamped duffing oscillator
- W-limit sets
ASJC Scopus subject areas
- Mathematics(all)