Abstract
Bifurcations in Huang's chaotic chemical reactor system leading from simple dynamics into chaotic regimes are considered. Following the linear stability analysis, the periodic orbit resulting from a Hopf bifurcation of any of the six fixed points is constructed analytically by the method of multiple scales across successively slower time scales, and its stability is then determined by the resulting final secularity condition. Furthermore, we run numerical simulations of our chemical reactor at a particular fixed point of interest, alongside a set of parameter values that forces our system to undergo Hopf bifurcation. These numerical simulations then verify our analysis of the normal form.
Thesis Completion
2018
Semester
Spring
Thesis Chair/Advisor
Choudhury, Roy
Degree
Bachelor of Science (B.S.)
College
College of Sciences
Department
Mathematics
Location
Orlando (Main) Campus
Language
English
Access Status
Open Access
Release Date
5-1-2018
Recommended Citation
Mandragona, Daniel, "Hopf Bifurcation Analysis of Chaotic Chemical Reactor Model" (2018). Honors Undergraduate Theses. 342.
https://stars.library.ucf.edu/honorstheses/342
Included in
Dynamic Systems Commons, Non-linear Dynamics Commons, Ordinary Differential Equations and Applied Dynamics Commons
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