Open AccessNONLINEAR DYNAMICS AND LIMITING REAGENT: A TRANSCRITICAL BIFURCATION EXAMPLE
Author(s) -
Diego Raposo
Publication year - 2014
Publication title -
química nova
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.214
H-Index - 73
eISSN - 1678-7064
pISSN - 0100-4042
DOI - 10.5935/0100-4042.20140119
Subject(s) - limiting , nonlinear system , bifurcation , transcritical bifurcation , reagent , dynamics (music) , mathematics , control theory (sociology) , computer science , physics , saddle node bifurcation , chemistry , engineering , mechanical engineering , control (management) , artificial intelligence , quantum mechanics , acoustics
The nonlinear analysis of a general mixed second order reaction was performed, aiming to explore some basic tools concerning the mathematics of nonlinear differential equations. Concepts of stability around fixed points based on linear stability analysis are introduced, together with phase plane and integral curves. The main focus is the chemical relationship between changes of limiting reagent and transcritical bifurcation, and the investigation underlying the conclusion