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. © 1993 Rocky Mountain Mathematics Consortium.
Author supplied 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
Cite
CITATION STYLE
APA
Thieme, H. R. (1993). Asymptotically autonomous differential equations in the plane. Rocky Mountain Journal of Mathematics, 24(1), 351–380. https://doi.org/10.1216/rmjm/1181072470
Register to see more suggestions
Mendeley helps you to discover research relevant for your work.
Already have an account? Sign in
Sign up for free