Abstract
The global behavior of solutions is described for the smallest chemical reaction system that exhibits a Hopf bifurcation, discovered in [12]. This three-dimensional system is a competitive system and a monotone cyclic feedback system. The Poincaré-Bendixson theory extends to such systems [2,3,6,8] and a Bendixson criterion exists to rule out periodic orbits [4].
| Original language | English (US) |
|---|---|
| Pages (from-to) | 989-995 |
| Number of pages | 7 |
| Journal | Journal of Mathematical Chemistry |
| Volume | 50 |
| Issue number | 4 |
| DOIs | |
| State | Published - Apr 2012 |
Keywords
- Bendixson criterion
- Compact attractor
- Competitive system
- Monotone cyclic feedback system
- Periodic orbit
- Uniform persistence
ASJC Scopus subject areas
- Chemistry(all)
- Applied Mathematics