Global Dynamics of the smallest Chemical Reaction System with Hopf Bifurcation
Abstract
The global behavior of solutions is described for the smallest chemical reaction system that exhibits a Hopf bifurcation, discovered in WH1. This three-dimensional system is a competitive system and a monotone cyclic feedback system. The Poincar\'e-Bendixson theory extends to such systems MS,H0,HS,S and a Bendixson criterion exists to rule out periodic orbits LM.
0
Turn this paper into a lesson
ArcXiv compiles a structured reading guide from this paper's metadata: plain-English importance, contributions, prerequisite concepts, which sections to read first, flashcards, and a quiz. Grounded in the abstract, never invented.